diff --git "a/samples/texts_merged/2126836.md" "b/samples/texts_merged/2126836.md" new file mode 100644--- /dev/null +++ "b/samples/texts_merged/2126836.md" @@ -0,0 +1,48046 @@ + +---PAGE_BREAK--- + +particle data group + +2020 + +PARTICLE +PHYSICS +BOOKLET + +Extracted from the Review of Particle Physics +P.A. Zyla et al. (Particle Data Group), +Prog. Theor. Exp. Phys. 2020, 083C01 (2020). + +See http://pdg.lbl.gov/ for Particle Listings, +complete reviews and pdgLive. + +Available from PDG at LBNL and CERN +---PAGE_BREAK--- + +The complete 2020 *Review of Particle Physics* is published on-line by Prog. Theor. Exp. Phys. (PTEP) and on the PDG website (http://pdg.lbl.gov). The printed *PDG Book* contains the Summary Tables and all review articles but no longer includes the detailed tables from the Particle Listings. This *Particle Physics Booklet* includes the Summary Tables plus essential tables, figures, and equations from selected review articles. + +Copies of this *Booklet* or the *PDG Book* can be ordered from the PDG website or directly at + +http://pdg.lbl.gov/order. + +For special requests only, please email +pdg@lbl.gov + +in North and South America, Australia, and the Far East, and +pdg-products@cern.ch + +in all other areas. + +Visit our web site: http://pdg.lbl.gov/ + +The publication of the *Review of Particle Physics* is supported by the Director, Office of Science, Office of High Energy Physics of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231; by the European Laboratory for Particle Physics (CERN); by an implementing arrangement between the governments of Japan (MEXT: Ministry of Education, Culture, Sports, Science and Technology) and the United States (DOE) on cooperative research and development; by the Italian National Institute of Nuclear Physics (INFN); and by the Physical Society of Japan (JPS). Individual collaborators receive support for their PDG activities from their respective funding agencies. +---PAGE_BREAK--- + +# PARTICLE PHYSICS BOOKLET* + +*Extracted from the Review of Particle Physics* + +P.A. Zyla et al (PDG), Prog. Theor. Exp. Phys. **2020**, 083C01 (2020) + +## PARTICLE DATA GROUP + +P.A. Zyla, R.M. Barnett, J. Beringer, O. Dahl, D.A. Dwyer, D.E. Groom, C.-J. Lin, K.S. Lugovsky, E. Pianori, D.J. Robinson, C.G. Wohl, W.-M. Yao, K. Agashe, G. Aielli, B.C. Allanach, C. Amsler, M. Antonelli, E.C. Aschenauer, D.M. Asner, H. Baer, Sw. Banerjee, L. Baudis, C.W. Bauer, J.J. Beatty, V.I. Belousov, S. Bethke, A. Bettini, O. Biebel, K.M. Black, E. Blucher, O. Buchmuller, V. Burkert, M.A. Bychkov, R.N. Cahn, M. Carena, A. Ceccucci, A. Cerri, D. Chakraborty, R.Sekhar Chivukula, G. Cowan, G. D'Ambrosio, T. Damour, D. de Florian, A. de Gouvêa, T. DeGrand, P. de Jong, G. Dissertori, B.A. Dobrescu, M. D'Onofrio, M. Döser, M. Drees, H.K. Dreiner, P. Eerola, U. Egede, S. Eidelman, J. Ellis, J. Erler, V.V. Ezhela, W. Fetscher, B.D. Fields, B. Foster, A. Freitas, H. Gallagher, L. Garren, H.-J. Gerber, G. Gerbier, T. Gershon, Y. Gershtein, T. Gherghetta, A.A. Godizov, M.C. Gonzalez-Garcia, M. Goodman, C. Grab, A.V. Gritsan, C. Grojean, M. Grünewald, A. Gurtu, T. Gutsche, H.E. Haber, C. Hanhart, S. Hashimoto, Y. Hayato, A. Hebecker, S. Heinemeyer, B. Heltsley, J. J. Hernández-Rey, K. Hikasa, J. Hisano, A. Höcker, J. Holder, A. Holtkamp, J. Huston, T. Hyodo, K.F. Johnson, M. Kado, M. Karliner, U.F. Katz, M. Kenzie, V.A. Khoze, S.R. Klein, E. Klempt, R.V. Kowalewski, F. Krauss, M. Kreps, B. Krusche, Y. Kwon, O. Lahav, J. Laiho, L.P. Lellouch, J. Lesgourgues, A. R. Liddle, Z. Ligeti, C. Lippmann, T.M. Liss, L. Littenberg, C. Lourenço, +S.B. Lugovsky, A. Lusiani, Y. Makida, F. Maltoni, T. Mannel, A.V. Manohar, +W.J. Marciano, A. Masoni, J. Matthews, U.-G. Meißner, M. Mikhasenko, +D.J. Miller, D. Milstead, R.E. Mitchell, K. Mönig, P. Molaro, F. Moortgat, +M. Moskovic, K. Nakamura, M. Narain, P. Nason, S. Navas, M. Neubert, +P. Nevski, Y. Nir, K.A. Olive, C. Patrignani, J.A. Peacock, S.T. Petcov, +V.A. Petrov, A. Pich, A. Piepke, A. Pomarol, S. Profumo, A. Quadt, +K. Rabbertz, J. Rademacker, G. Raffelt, H. Ramani, M. Ramsey-Musolf, +B.N. Ratcliff, P. Richardson, A. Ringwald, S. Roesler, S. Rolli, A. Romaniouk, +L.J. Rosenberg, J.L. Rosner, G. Rybka, M. Ryskin, R.A. Ryutin, +Y. Sakai, G.P. Salam, S. Sarkar, F. Sauli, O. Schneider, K. Scholberg, +A.J. Schwartz, J. Schwiening, D. Scott, V. Sharma, S.R. Sharpe, +T. Shutt, M. Silari, T. Sjöstrand, P. Skands, T. Skwarnicki, G.F. Smoot, +A. Soffer, M.S. Sozzi, S. Spanier, C. Spiering, A. Stahl, S.L. Stone, +Y. Sumino, T. Sumiyoshi, M.J. Syphers, F. Takahashi, M. Tanabashi, +J. Tanaka, M.\`Ta\`sevský,\ K.\ Terashi,\ J.\ Terning,\ U.\ Thoma,\ R.S.\ Thorne, +L.\ Tiator,\ M.\ Titov,\ N.P.\ Tkachenko,\ D.R.\ Tovey,\ K.\ Trabelsi,\ P.\ Urquijo, +G.\ Valencia,\ R.\ Van de Water,\ N.\ Varelas,\ G.\ Venanzoni,\ L.\ Verde, +M.G.\ Vincter,\ P.\ Vogel,\ W.\ Vogelsang,\ A.\ Vogt,\ V.\ Vorobyev,\ S.P.\ Wakely, +W.\ Walkowiak,\ C.W.\ Walter,\ D.\ Wands,\ M.O.\ Wascko,\ D.H.\ Weinberg, +E.J.\ Weinberg,\ M.\ White,\ L.R.\ Wiencke,\ S.\ Willocq,\ C.L.\ Woody, +R.L.\ Workman,\ M.\ Yokoyama,\ R.\ Yoshida,\ G.\ Zanderighi,\ G.P.\ Zeller, +O.V.\ Zenin,\ R.-Y.\ Zhu,\ S.-L.\ Zhu,\ F.\ Zimmermann + +### Technical Associates: + +J. Anderson, T. Basaglia, V.S. Lugovsky, P. Schaffner, W. Zheng + +©2020 Regents of the University of California + +* This *Particle Physics Booklet* includes the Summary Tables plus essential tables, figures, and equations from selected review articles. + +The table of contents, on the following pages, lists also additional material available in the full *Review*. +---PAGE_BREAK--- + +2 + +# PARTICLE PHYSICS BOOKLET TABLE OF CONTENTS + +
1. Physical constants6
2. Astrophysical constants8
Summary Tables of Particle Physics
Gauge and Higgs bosons10
Leptons16
Quarks25
Mesons27
Baryons163
Searches not in other sections193
Tests of conservation laws198
Reviews, Tables, and Plots
9. Quantum chromodynamics201
10. Electroweak model and constraints on new physics202
11. Higgs boson physics, status of204
12. CKM quark-mixing matrix206
13. CP violation in the quark sector208
14. Neutrino mass, mixing and oscillations210
15. Quark model213
22. Big-bang cosmology214
27. Dark matter216
29. Cosmic microwave background217
30. Cosmic rays219
31. Accelerator physics of colliders220
32. High-energy collider parameters222
34. Passage of particles through matter223
35. Particle detectors at accelerators230
37. Radioactivity and radiation protection231
38. Commonly used radioactive sources233
39. Probability235
40. Statistics239
44. Monte Carlo particle numbering scheme245
45. Clebsch-Gordan coefficients, spherical harmonics, and d functions247
48. Kinematics249
50. Cross-section formulae for specific processes257
51. Neutrino cross-section measurements262
6. Atomic and nuclear properties of materials263
4. Periodic table of the elementsinside back cover
+---PAGE_BREAK--- + +The following are found only in the full *Review*, see + +http://pdg.lbl.gov + +# VOLUME 1: SUMMARY TABLES AND REVIEWS + +Highlights + +Introduction + +History plots + +Online particle physics information + +## Reviews, Tables, and Plots + +### Constants, Units, Atomic and Nuclear Properties + +3. International system of units (SI) + +5. Electronic structure of the elements + +7. Electromagnetic relations + +8. Naming scheme for hadrons + +### Standard Model and Related Topics + +16. Heavy-quark & soft-collinear effective theory + +17. Lattice quantum chromodynamics + +18. Structure functions + +19. Fragmentation functions in $e^{+}e^{-}$, ep and pp collisions + +20. High energy soft QCD and diffraction + +### Astrophysics and Cosmology + +21. Experimental tests of gravitational theory + +23. Inflation + +24. Big-bang nucleosynthesis + +25. Cosmological parameters + +26. Neutrinos in cosmology + +28. Dark energy + +### Experimental Methods and Colliders + +33. Neutrino beam lines at high-energy proton synchrotrons + +36. Particle detectors for non-accelerator physics + +### Mathematical Tools + +41. Monte Carlo techniques + +42. Monte Carlo event generators + +43. Monte Carlo neutrino event generators + +46. SU(3) isoscalar factors and representation matrices + +47. SU(n) multiplets and Young diagrams + +### Kinematics, Cross-Section Formulae, and Plots + +49. Resonances + +52. Plots of cross sections and related quantities + +### Particle Properties + +#### Gauge Bosons + +53. Mass and width of the W boson + +54. Z boson + +#### Leptons + +55. Muon anomalous magnetic moment + +56. Muon decay parameters + +57. $\tau$ branching fractions + +58. $\tau$-lepton decay parameters + +#### Quarks + +59. Quark masses + +60. Top quark + +#### Mesons + +61. Form factors for radiative pion & kaon decays + +62. Scalar mesons below 2 GeV + +63. Pseudoscalar and pseudovector mesons in the 1400 MeV region + +64. Rare kaon decays + +65. CPT invariance tests in neutral kaon decay +---PAGE_BREAK--- + +66. $V_{ud}$, $V_{us}$, Cabibbo angle, and CKM unitarity + +67. CP-violation in $K_L$ decays + +68. Review of multibody charm analyses + +69. $D^0\bar{D}^0$ mixing + +70. $D_s^+$ branching fractions + +71. Leptonic decays of charged pseudoscalar mesons + +72. Production and decay of b-flavored hadrons + +73. Polarization in B decays + +74. $B^0\bar{B}^0$ mixing + +75. Semileptonic B decays, $V_{cb}$ and $V_{ub}$ + +76. Determination of CKM angles from B hadrons + +77. Spectroscopy of mesons containing two heavy quarks + +78. Non-$q\bar{q}$ mesons + +### Baryons + +79. Baryon decay parameters + +80. N and $\Delta$ resonances + +81. Baryon magnetic moments + +82. $\Lambda$ and $\Sigma$ resonances + +83. Pole structure of the $\Lambda(1405)$ region + +84. Charmed baryons + +85. Pentaquarks + +### Hypothetical Particles and Concepts + +86. Extra dimensions + +87. $W'$-boson searches + +88. $Z'$-boson searches + +89. Supersymmetry: theory + +90. Supersymmetry: experiment + +91. Axions and other similar particles + +92. Quark and lepton compositeness, searches for + +93. Dynamical electroweak symmetry breaking: implications of the $H^0$ + +94. Grand unified theories + +95. Leptoquarks + +96. Magnetic monopoles + +# VOLUME 2: PARTICLE LISTINGS (available online only) + +## Illustrative key and abbreviations + +### Illustrative key + +Abbreviations + +## Gauge and Higgs bosons + +($\gamma$, gluon, graviton, W, Z, Higgs, Axions) + +## Leptons + +(e, $\mu$, $\tau$, Heavy-charged lepton searches, +Neutrino properties, Number of neutrino types +Double-$\beta$ decay, Neutrino mixing, +Heavy-neutral lepton searches) + +## Quarks + +($u, d, s, c, b, t, b', l'$ ($4^{th}$ gen.), Free quarks) + +## Mesons + +Light unflavored ($\pi, \rho, a, b$) ($\eta, \omega, f, \phi, h$) +Other light unflavored +Strange ($K, K^*$) +Charmed ($D, D^*$) +Charmed, strange ($D_s, D_s^*, D_{sJ}$) +Bottom ($B, V_{cb}/V_{ub}, B^*, B_J^*$) +Bottom, strange ($B_s, B_s^*, B_{sJ}^*$) +Bottom, charmed ($B_c$) +$\bar{c}\bar{c}$ ($\eta_c, J/\psi(1S), \chi_c, h_c, \psi$) +---PAGE_BREAK--- + +$b\bar{b}$ ($\eta_b, \Upsilon, \chi_b, h_b$) + +**Baryons** + +$N$ + +$\Delta$ + +$\Lambda$ + +$\Sigma$ + +$\Xi$ + +$\Omega$ + +Charmed ($\Lambda_c, \Sigma_c, \bar{\Sigma}_c, \Omega_c$) + +Doubly charmed ($\Xi_{cc}$) + +Bottom ($\Lambda_b, \Sigma_b, \Xi_b, \Omega_b$, b-baryon admixture) + +Exotic baryons ($P_c$ pentaquarks) + +**Searches not in Other Sections** + +Magnetic monopole searches + +Supersymmetric particle searches + +Technicolor + +Searches for quark and lepton compositeness + +Extra dimensions + +WIMP and dark matter searches + +Other particle searches + +**Notes in the Listings** + +Extraction of triple gauge couplings (TGC's) + +Anomalous $ZZ\gamma$, $Z\gamma\gamma$, and $ZZV$ couplings + +Anomalous $W/Z$ quartic couplings + +Neutrino properties + +Sum of neutrino masses + +Number of light neutrino types from collider experiments + +Neutrinoless double-$\beta$ decay + +Three-neutrino mixing parameters + +$\rho(770)$ + +$\rho(1450)$ and the $\rho(1700)$ + +Charged kaon mass + +Dalitz plot parameters for $K \to 3\pi$ decays + +$K_{\ell 3}^{\pm}$ and $K_{\ell 3}^{0}$ form factors + +$CP$-violation in $K_S \to 3\pi$ + +Heavy Flavor Averaging Group + +Charmonium system + +Branching ratios of $\psi(2S)$ and $\chi_{c0,1,2}$ + +Bottomonium system + +Width determination of the $\Upsilon$ states + +$\Sigma(1670)$ region + +Radiative hyperon decays + +$\Xi$ resonances +---PAGE_BREAK--- + +**Table 1.1.** Revised 2019 by C.G. Wohl (LBNL). Mainly from “CODATA Recommended Values of the Fundamental Physical Constants: 2018,” E. Tiesinga, D.B. Newell, P.J. Mohr, and B.N. Taylor, NIST SP961 (May 2019). The last group, beginning with the Fermi coupling constant, comes from PDG. The $1-\sigma$ uncertainties are given in parentheses. See the full *Review* for references and further explanation. + +
QuantitySymbol, equationValueUncertainty (ppb)
speed of light in vacuumc299 792 458 m s-1exact
Planck constanth6.626 070 15×10-34 J s (or J/Hz)exact
Planck constant, reduced electron charge magnitudeħ = h/2π1.054 571 817...×10-34 J s = 6.582 119 569...×10-22 MeV sexact
conversion constante1.602 176 634×10-19Cexact
conversion constantħc197.326 980 4... MeV fmexact
(ħc)20.389 379 372 1... GeV2 mbarnexact
electron massme0.510 998 950 00(15) MeV/c2 = 9.109 383 7015(28)×10-31 kg0.30
proton massmp938.272 088 16(29) MeV/c2 = 1.672 621 923 69(51)×10-27 kg0.31
= 1.007 276 466 621(53) u = 1836.152 673 43(11) me0.053, 0.060
neutron massmn939.565 420 52(54) MeV/c2 = 1.008 664 915 95(49) u0.57, 0.48
deuteron massmd1875.612 942 57(57) MeV/c20.30
unified atomic mass unit (u)u = (mass 12C atom)/12931.494 102 42(28) MeV/c2 = 1.660 539 066 60(50)×10-27 kg0.30
permittivity of free spaceε0 = 1/μ0c28.854 187 8128(13) × 10-12 F m-10.15
permeability of free spaceμ0/((4π × 10-7)1.000 000 000 55(15) N A-20.15
fine-structure constantα = e2/4πε0ħc (at Q2 = 0)7.297 352 5693(11)×10-3 = 1/137.035 999 084(21)
At Q2 ≈ me2/mV
the value is ~ 1/128.
re = e2/4πε0mec22.817 940 3262(13)×10-15 m
a = (4πε0ħ2/mec2) = reα-23.861 592 6796(12)×10-13 m
ħc/(1 eV)0.529 177 210 903(80)×10-10 m
wavelength of 1 eV/c particlehcR = mee4/2(4πε0)22 = mec2α2/2exact
1.9×10-3
Rydberg energyσT = (8πre)2/3
Thomson cross sectionσT = (8πre)2/3
+ +¹ *Physical constants* +---PAGE_BREAK--- + +
Bohr magnetonμB = eħ/2me5.788 381 8060(17)×10-11 MeV T-10.3
nuclear magnetonμN = eħ/2mp3.152 451 258 44(96)×10-14 MeV T-10.31
electron cyclotron freq./fieldωecycl/B = e/me1.758 820 010 76(53)×10-11 rad s-1 T-10.30
proton cyclotron freq./fieldωpcycl/B = e/mp9.578 833 1560(29)×107 rad s-1 T-10.31
gravitational constantGN6.674 30(15)×10-11 m3 kg-1s-22.2 × 104
standard gravitational accel.gN= 6.708 83(15)×10-39 ħc (GeV/c2)-22.2 × 104
9.806 65 m s-2exact
Avogadro constantNA6.022 140 76×1023 mol-1exact
Boltzmann constantk1.380 649×10-23 J K-1exact
molar volume, ideal gas at STPNAk(273.15 K)/(101 325 Pa)= 8.617 333 262... × 10-5 eV K-1exact
Wien displacement law constantb = λmaxT22.413 969 54... × 10-3 m3 mol-1exact
Stefan-Boltzmann constantσ = π2k4/60ħ3c22.897 771 955... × 10-3 m Kexact
5.670 374 419... × 10-8 W m-2 K-4
Fermi coupling constantGF/(ħc)31.166 378 7(6)×10-5 GeV-2510
weak-mixing anglesin2 θ̂(MZ) (MS)0.231 21(4)1.7 × 105
mW80.379(12) GeV/c21.5 × 105
O boson massmZ91.1876(21) GeV/c22.3 × 104
strong coupling constantαs(MZ)0.1179(10)8.5 × 106
e = 2.718 281 828 459 045 235...
π = 3.141 592 653 589 793 238...
in ≡ 0.0254 m
1 Å ≡ 0.1 nm
1 barn ≡ 10-28 m2
G ≡ 10-4 T
dyne ≡ 10-5 N
erg ≡ 10-7 J
eV = 1.602 176 634 × 10-19 J (exact)
(1 kg)c2 = 5.609 588 603... × 1035 eV (exact)
C = 2.997 924 58 × 109 esu
atmosphere ≡ 760 Torr ≡ 101 325 Pa
KT at 300 K = [38.681 740(22)]-1 eV
0 °C ≡ 273.15 K
atmosphere ≡ 760 Torr ≡ 101 325 Pa
+ + +---PAGE_BREAK--- + +**Table 2.1:** Revised August 2019 by D.E. Groom (LBNL) and D. Scott (U. of British Columbia). The figures in parentheses after some values give the 1-$\sigma$ uncertainties in the last digit(s). Physical constants are from Ref. [1]. While every effort has been made to obtain the most accurate current values of the listed quantities, the table does not represent a critical review or adjustment of the constants, and is not intended as a primary reference. The values and uncertainties for the cosmological parameters depend on the exact data sets, priors, and basis parameters used in the fit. Many of the derived parameters reported in this table have non-Gaussian likelihoods. Parameters may be highly correlated, so care must be taken in propagating errors. Unless otherwise specified, cosmological parameters are derived from a 6-parameter CDM cosmology fit to Planck cosmic microwave background 2018 temperature (TT) + polarization (TE,EE+lowE) + lensing data [2]. For more information see Ref. [3] and the original papers. + +
QuantitySymbolequationValueRadiativeCONSTANTS
Northern constant of gravitationGN6.673(30)(10) × 10-14 m3 kg-1s-2[1]
Planck massMP√(MP/GN)1.209(89)(14) × 10-15 GN × 10-2 m2 kg-1s-2[1]
vP= √(MP/GN)1.694(25)(18) × 10-15 m2 kg-1s-2[1]
Planck lengthLP3.158(66)(24) × 10-24 m[1]
Proper motion of equinox to equinox (2000)vP3.158(66)(24) × 10-24 m[1]
ideal year (period of Earth around Sun relative to year to year)T031.58(19) × π = π × 10-7 s-2[4]
anomalous limit
parallax (LP/a sin θ)
mP1495(57)783(70) m-1[5]
light year (depressed initial)pP= 3.064(60)
pc = 1096(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
pc = 3.064(73)
cold age
(year)
tcold age= (tcold age/tcold age)2(tcold age/tcold age)2 = tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × tcold age(tcold age) × t< Subscript of cold age is c.[8]
Schwarzschild radius of the Sun
Schwarzschild radius of the Sun is defined as R(Sun) − R(Sun)
R(Sun)= (GMc²/s²)258259/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95/95
Schwarzschild radius of the Earth is defined as R(Earth) − R(Earth)
[8]
Solar mass
Solar mass is defined as M(Sun) − M(Sun)
M(Sun)= (GMc²/s²)1,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,111
Schwarzschild radius of the Earth is defined as R(Earth) − R(Earth)
[1]
Boltzmann constant
Boltzmann constant is defined as kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT − kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kT ––kKg/m³s⁻¹kg⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m⁻¹s⁻¹m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m−1s−1m—the subscripts in the table are as follows:
[2]
Hubble constant
Hubble constant is defined as H(z) · (d(z)) where d(z) is the comoving distance between two points at redshift z.
H(z)= (H₀ / R(z)) / R(z)2.022×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×22×…                                                                                                             designation
The subscripts in the table are as follows:
[[a]]—[b] · W(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z) · H(z)—
H₀
Hubble constant is defined as H₀= (d⁴⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰²
Hubble constant is defined as d'∞= (d'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'∞'
[b] - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated - apparent balance of unilluminated-Apparent Balance is defined as B(a,b,c,d,e,f,g,h,i,j,k,l,m,n,p,q,r,s,t,u,v,w,x,y,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w,z,w_z_z_z_z_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy__yy___zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-z-Subscript for z is z and subscript for z is zæ[c] (M(a,b,c,d,e,f,g,h,i,j,k,l,m,n,p,q,r,s,t,u,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/v/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V/V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_V_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_v_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_u_uu_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a_a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a—_a——-the subscripts in the table are as follows:[d] (M(a,b,c,d,e,f,g,h,i,j,k,l,m,n,p,q,r,s,t,u,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v,v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-v-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-V-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA-VA- VA~V~V~A~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~V~A~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v~~v ~~u_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_s_ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss ssss shhh_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_h_hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmsrmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrsmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrmrm 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+The subscripts in the table are as follows: +The first subscript is the first letter in the name and the second subscript is the second letter in the name. +For example: if the first subscript is 'u' +and the second subscript is 'o' +then the name would be "uuo". +If the second subscript is 'n' +then the name would be "non". +If both subscripts are 'o' +then the name would be "uno". +If one subscript is 'n' +and the other is 'o' +then the name would be "nono". +If both subscripts are 'o' +then the name would be "uno-o". +If one subscript is 'n' +and the other is 'n' +then the name would be "nonon." +If both subscripts are 'n' +then the name would be "nonono." +If one subscript is 'o' +and the other is 'o' +then the name would be "uno-o-o." +If both subscripts are 'o' +then the name would be "uno-o-o-o." +If one subscript is 'o' +and the other is 'o' +then the name would be "uno-o-o-o-o." +If both subscripts are 'o' +then the name would be "uno-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_i_iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii +The third subscript is the third letter in the name and the fourth subscript is the fourth letter in the name. +For example: if the third subscript is 'i' +and the fourth subscript is 'o' +then the name would be "ioiioiioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioioio +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + age of the Universe today
Neff
sum of neutrino masses
neutrino density of the Universe
Ωc=h-ΔScav/93.14 Ā
Ωa=h-ΔSaav/93.14 Ā
Ωb
running spectral index, k_0=0.6 Mpc-1
residual to sound horizon perturbation ratio,
dark energy equation of state parameter
primordial helium fraction
Y_{\odot}
[Parameter in e-parameter ΛCDM fit.] Derived parameter in g-parameter ΛCDM fit.] Extended model parameter, Planck + BAO data [2]

































































































\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\\* Parameters in e-parameter ΛCDM fit.] Derived parameter in g-parameter ΛCDM fit.] Extended model parameter, Planck + BAO data [2]
\n\\* Parameters in e-parameter ΛCDM fit.] Derived parameter in g-parameter ΛCDM fit.] Extended model parameter, Planck + BAO data [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47]\n[48] [49] [50] [51] [52] [53] [54] [55] [56] [57] [58] [59] [60] [61] [62] [63] [64] [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] [75] [76] [77] [78] [79] [80] [81] [82] [83]\n[84]\n[85]\n[86]\n[87]\n[88]\n[89]\n[90]\n[91]\n[92]\n[93]\n[94]\n[95]\n[96]\n[97]\n[98]\n[99]\n[100]\n[101]\n[102]\n[103]\n[104]\n[105]\n[106]\n[107]\n[108]\n[109]\n[110]\n[111]\n[112]\n[113]\n[114]\n[115]\n[116]\n[117]\n[118]\n[119]\n[120]\n[121]\n[122]\n[123]\n[124]\n[125]\n[126]\n[127]\n[128]\n[129]\n[130]\n[131]\n[132]\n[133]\n[134]\n[135]\n[136]\n[137]\n[138]\n[139]\n[140]\n[141]\n[142]\n[143]\n[144]\n[145]\n[146]\n[147]\n[48]
\n[49]
\n[50]
\n[51]
\n[52]
\n[53]
\n[54]
\n[55]
\n[56]
\n[57]
\n[58]
\n[59]
\n[60]
\n[61]
\n[62]
\n[63]
\n[64]
\n[65]
\n[66]
\n[67]
\n[68]
\n[69]
\n[70]
\n[71]
\n[72]
\n[73]
\n[74]
\n[75]
\n[76]
\n[77]
\n[78]
\n[79]
\n[80]
\n[81]
\n[82]
\n[83]
\n---\nhubble-to-photon ratio (from HRD)\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhubble density of the Universe
at Hubble expansion rate
scalling factor for Hubble expansion rate
Hubble constant
scalling factor of decelerating constant
critical density of the Universe
hubble-to-photon ratio (from HRD)
\nhub-photon ratio (from HRD)
\nhub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+hub-photon density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
+ hub-helium fraction Y_{\odot} \hspace{fill}                                                                                                                                                                                                                                                                                                                                                                          &enspi; + + +---PAGE_BREAK--- + +# SUMMARY TABLES OF PARTICLE PROPERTIES + +Extracted from the Particle Listings of the +*Review of Particle Physics* + +P.A. Zyla et al. (Particle Data Group), +Prog. Theor. Exp. Phys. **2020**, 083C01 (2020) +Available at http://pdg.lbl.gov + +©2020 Regents of the University of California +(Approximate closing date for data: January 15, 2020) + +## GAUGE AND HIGGS BOSONS + +### $\gamma$ (photon) + +$$I(J^{PC}) = 0,1(1^{--})$$ + +Mass $m < 1 \times 10^{-18}$ eV + +Charge $q < 1 \times 10^{-46}$ e (mixed charge) + +Charge $q < 1 \times 10^{-35}$ e (single charge) + +Mean life $\tau$ = Stable + +### g or gluon + +$$I(J^P) = 0(1^-)$$ + +Mass $m = 0$ [a] + +SU(3) color octet + +### graviton + +$J = 2$ + +Mass $m < 6 \times 10^{-32}$ eV + +### W + +$J = 1$ + +Charge = $\pm 1$ e + +Mass $m = 80.379 \pm 0.012$ GeV + +W/Z mass ratio = $0.88147 \pm 0.00013$ + +$m_Z - m_W = 10.809 \pm 0.012$ GeV + +$m_{W^+} - m_{W^-} = -0.029 \pm 0.028$ GeV + +Full width $\Gamma = 2.085 \pm 0.042$ GeV + +$\langle N_{\pi^{\pm}} \rangle = 15.70 \pm 0.35$ + +$\langle N_{K^{\pm}} \rangle = 2.20 \pm 0.19$ + +$\langle N_p \rangle = 0.92 \pm 0.14$ + +$\langle N_{\text{charged}} \rangle = 19.39 \pm 0.08$ + +W$^-$ modes are charge conjugates of the modes below. + +
QuantitySymbol, equation.ValueReference, footnote
atmospheric densityH22.8012(7) × 7.2(7250)1) cm-3[30]
pre-early Hubble expansion rateH100 h km s-1 Mpc-1 = h (9.7777752 Gyr)-1[31]
scaling factor for Hubble expansion rateH00.074(5)
Hubble constantcH02(0.925692) × 10-28 h-1 m = 1.372(10) × 10-26 m[2,32]
scale factor of decelerating constantcs2(30)1.878(34) × 10-29 k2 cm-3
critical density of the Universeρcrit = 3H02e-Gc= 1.653(62)(24) × 10-5 h2 (GeV/c2) cm-3
= 2.775(300)7 × 10-14 h2 Mpc-3
[33]
Hubble-to-photon ratio (from HRD)
nBq = nB/nBc5.2, 2.5(5)(7) × 10-5 h2 cm-3[34]
nBcnBc(2.4) × 10-7 < nB < 2.7 × 10-7 cm-3 (96%) CL, (CL, η × nB)[34,34,45]
CMB radiation density of the Universe
(Peece 2018 6-parameter fit to ΛCDM cosmology)
ΩcΩc = ρccrit(0.922)(5) × τ = 1.058(6)[30]
atmospheric density of the UniverseΩa = ρacritτ = 0.280(12) × τ = -0.956(7)[2,3,27]
cold dark matter density of the Universe100 × approx to rv/DA1.068(32)[2,3,27]
reionization optical depthτ1.054(7)[2,3,27]
h(power spectrum, pert.) (av = 0.05 Mpc-1) ln(10-ΔGc)τ3.084(14)[2,3,27]
scale general indexnBc1.056(4)[2,3,27]
pulsar-to-sky parameterΩa1.03(5)[2,3]
dark energy density parameterΩc1.068(7)[2,3]
energy density of dark energyΛ1.583(16) × 10-39 g cm-3[2]
cosmological constantσR1.088(30) × 10-56 cm-2[2]
fictitious amplitude at R + Mpc scale
(result of matter-radiation equality)
σR1.051(16)[2,3]
age at matter-radiation equalityτm5.3(26)[2,36]
residual at which optical depth equals unityrv51.1(8) kyr[2]
comoving size of sound horizon at zvtv1.089(23)[2,37]
age when optical depth equals unitytv1.44(40) Mpc[2,48]
residual at half reionizationtv1.728(10) kyr[2,38]
age at half reionizationtv1.7(7) kyr[2,39]
residual when acceleration was zerotv690 (90) Mpc
rv
[2]
age of the Universe todaytv1.056(18)[2,37]
σRσR1.70(10) Gyr
rv
[2]
σRRvσRv13.79(23) Gyr
rv
[2]
W+ DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
+ν[b] (10.86 ± 0.09) %
e+ν
μ+ν
τ+ν
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
hadrons(67.41 ± 0.27) %
π+γ< 7× 10-695%40189
Ds+γ< 1.3× 10-395%40165
cX(33.3 ± 2.6) %
cΣ(31 ±+13-11) %
invisible[c] (1.4 ± 2.9) %
π+π+π-< 1.01× 10-695%40189
+ +**Z** + +$J = 1$ + +Charge = 0 + +Mass $m = 91.1876 \pm 0.0021$ GeV [$\sigma$] + +Full width $\Gamma = 2.4952 \pm 0.0023$ GeV + +$\Gamma(\ell^+ \ell^-) = 83.984 \pm 0.086$ MeV [b] + +$\Gamma(\text{invisible}) = 499.0 \pm 1.5$ MeV [e] + +$\Gamma(\text{hadrons}) = 1744.4 \pm 2.0$ MeV + +$\Gamma(\mu^+ \mu^-)/\Gamma(e^+ e^-) = 1.0001 \pm 0.0024$ + +$\Gamma(\tau^+ \tau^-)/\Gamma(e^+ e^-) = 1.0020 \pm 0.0032$ [f] + +Average charged multiplicity + +$\langle N_{\text{charged}} \rangle = 20.76 \pm 0.16 \quad (\text{S} = 2.1)$ + +Couplings to quarks and leptons + +$$g_V^\ell = -0.03783 \pm 0.00041$$ + +$$g_V^\mu = 0.266 \pm 0.034$$ + +$$g_V^d = -0.38^{+0.04}_{-0.05}$$ + +$$g_A^\ell = -0.50123 \pm 0.00026$$ + +$$g_A^\mu = 0.519^{+0.028}_{-0.033}$$ + +$$g_A^d = -0.527^{+0.040}_{-0.028}$$ + +$$g_{\nu\ell} = 0.5008 \pm 0.0008$$ + +$$g_{\nu e} = 0.53 \pm 0.09$$ + +$$g_{\nu\mu} = 0.502 \pm 0.017$$ + +Asymmetry parameters [g] + +$A_e = 0.1515 \pm 0.0019$ + +$A_\mu = 0.142 \pm 0.015$ + +$A_\tau = 0.143 \pm 0.004$ + +$A_s = 0.90 \pm 0.09$ + +$A_c = 0.670 \pm 0.027$ + +$A_b = 0.923 \pm 0.020$ + +Charge asymmetry (%) at Z pole + +$A_{FB}^{(0\ell)} = 1.71 \pm 0.10$ + +$A_{FB}^{(0u)} = 4 \pm 7$ + +$A_{FB}^{(0s)} = 9.8 \pm 1.1$ + +$A_{FB}^{(0c)} = 7.07 \pm 0.35$ + +$A_{FB}^{(0b)} = 9.92 \pm 0.16$ + + + + + + + + + + + + + + + + + + + + + + + + +
Z DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
e+e-[h] (3.3632±0.0042) %45594
μ+μ-[h] (3.3662±0.0066) %45594
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
τ+ τ-[h] ( 3.3696 ± 0.0083 ) %45559
+-[b,h] ( 3.3658 ± 0.0023 ) %-
+-+-[j] ( 4.63 ± 0.21 ) × 10-645594
invisible[h] (20.000 ± 0.055 ) %-
hadrons[h] (69.911 ± 0.056 ) %-
(uū + cc) / 2(11.6 ± 0.6 ) %-
(dd + ss + bb) / 3(15.6 ± 0.4 ) %-
cc(12.03 ± 0.21 ) %-
bb(15.12 ± 0.05 ) %-
bb bb( 3.6 ± 1.3 ) × 10-4-
ggg< 1.1 % CL=95%-
π0γ< 2.01 × 10-5 CL=95% 45594-
ηγ< 5.1 × 10-5 CL=95% 45592-
ρ0γ< 2.5 × 10-5 CL=95% 45591-
ωγ< 6.5 × 10-4 CL=95% 45590-
η'(958)γ< 4.2 × 10-5 CL=95% 45589-
φγ< 9 × 10-7 CL=95% 45588-
γγ< 1.46 × 10-5 CL=95% 45594-
π0 π0< 1.52 × 10-5 CL=95% 45594-
γγγ< 2.2 × 10-6 CL=95% 45594-
π± W∓[j] < 7 × 10-5 CL=95% 10167-
ρ± W∓[j] < 8.3 × 10-5 CL=95% 10142-
J/ψ(1S)X( 3.51 ± 0.23 ) × 10-3 S=1.1 --
J/ψ(1S)γ< 1.4 × 10-6 CL=95% 45541-
ψ(2S)X( 1.60 ± 0.29 ) × 10-3-
ψ(2S)γ< 4.5 × 10-6 CL=95% 45519-
J/ψ(1S)J/ψ(1S)< 2.2 × 10-6 CL=95% 45489-
χc1(1P)X( 2.9 ± 0.7 ) × 10-3-
χc2(1P)X< 3.2 × 10-3 CL=90%-
Υ(1S) X + Υ(2S) X + Υ(3S) X( 1.0 ± 0.5 ) × 10-4-
Υ(1S)X< 3.4 × 10-6 CL=95%-
Υ(1S)γ< 2.8 × 10-6 CL=95% 45103-
Υ(2S)X< 6.5 × 10-6 CL=95%-
Υ(2S)γ< 1.7 × 10-6 CL=95% 45043-
Υ(3S)X< 5.4 × 10-6 CL=95%-
Υ(3S)γ< 4.8 × 10-6 CL=95% 45006-
Υ(1, 2, 3S) Υ(1, 2, 3S)< 1.5 × 10-6 CL=95%-
(D0/D0) X(20.7 ± 2.0 ) % --
D∓X(12.2 ± 1.7 ) % --
D*(2010)±X [j](11.4 ± 1.3 ) % --
Ds1(2536)±X (3.6 ± 0.8) × 10-3- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                                                                                                                                                 CL=95%
e+e-γ [k] (6.08 ± 0.13) %—
μ+ μ-γ [k] (1.59 ± 0.13) %—
τ+ τ-γ [l] < 7.3 × 10-4 CL=95% 45559
[n] < 6.8 × 10-6 CL=95% —
eqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqspan=9em>⃝
b-baryon X [k] (1.38 ± 0.22) %—
Anomalous γ + hadrons [l] < 3.2 × 10-3
e+e-γ [l] < 5.2 × 10-4
μ+ μ-γ [l] < 5.6 × 10-4
τ+ τ-γ [l] < 7.3 × 10-4
esJ⃝
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+ + +---PAGE_BREAK--- + +
e±μ&mpart;LF[J] < 7.5× 10-7CL=95%45594
e±τ&mpart;LF[J] < 9.8× 10-6CL=95%45576
μ±τ&mpart;LF[J] < 1.2× 10-5CL=95%45576
p eL,B< 1.8× 10-6CL=95%45589
L,B< 1.8× 10-6CL=95%45589
+ +See Particle Listings for 4 decay modes that have been seen / not seen. + +### H⁰ + +$J = 0$ + +Mass $m = 125.10 \pm 0.14$ GeV + +Full width $\Gamma < 0.013$ GeV, CL = 95% (assumes equal on-shell and off-shell effective couplings) + +### H⁰ Signal Strengths in Different Channels + +Combined Final States = 1.13 ± 0.06 + +$WW^* = 1.19 \pm 0.12$ + +$ZZ^* = 1.20^{+0.12}_{-0.11}$ + +$\gamma\gamma = 1.11^{+0.10}_{-0.09}$ + +$c\bar{c}$ Final State < 110, CL = 95% + +$b\bar{b} = 1.04 \pm 0.13$ + +$\mu^+\mu^- = 0.6 \pm 0.8$ + +$\tau^+\tau^- = 1.15^{+0.16}_{-0.15}$ + +$Z\gamma < 6.6$, CL = 95% + +top Yukawa coupling < 1.7, CL = 95% + +$t\bar{t}H^0$ Production = 1.28 ± 0.20 + +$H^0$ Production Cross Section in $pp$ Collisions at $\sqrt{s} = 13$ TeV = $59 \pm 5$ pb + +
H0 DECAY MODESFraction (Γf/Γ)Confidence levelρ
(MeV/c)
e+e-<3.6 × 10-495%62550
J/ψγ<3.5 × 10-495%62511
J/ψJ/ψ<1.8 × 10-395%62473
ψ(2S)γ<2.0 × 10-395%62495
Υ(1S)γ<4.9 × 10-495%62192
Υ(2S)γ<5.9 × 10-495%62148
Υ(3S)γ<5.7 × 10-495%62121
Υ(nS)Υ(mS)<1.4 × 10-395%-
ρ(770)γ<8.8 × 10-495%62547
φ(1020)γ<4.8 × 10-495%62546
LF <6.1 × 10-595%62550
LF <4.7 × 10-395%62537
μτLF <2.5 × 10-395%62537
γ invisible<4.6 %95%-
+ +## Neutral Higgs Bosons, Searches for + +### Mass limits for heavy neutral Higgs bosons ($H_2^0, A^0$) in the MSSM + +$m > 389$ GeV, CL = 95% ($\tan\beta = 10$) + +$m > 863$ GeV, CL = 95% ($\tan\beta = 20$) + +$m > 1157$ GeV, CL = 95% ($\tan\beta = 30$) + +$m > 1341$ GeV, CL = 95% ($\tan\beta = 40$) + +$m > 1496$ GeV, CL = 95% ($\tan\beta = 50$) + +$m > 1613$ GeV, CL = 95% ($\tan\beta = 60$) +---PAGE_BREAK--- + +Charged Higgs Bosons ($H^\pm$ and $H^{\pm\pm}$), Searches for + +Mass limits for $m_{H^+} < m(\text{top})$ + +$m > 155$ GeV, CL = 95% + +Mass limits for $m_{H^+} > m(\text{top})$ + +
m > 181 GeV, CL = 95%(tanβ = 10)
m > 249 GeV, CL = 95%(tanβ = 20)
m > 390 GeV, CL = 95%(tanβ = 30)
m > 894 GeV, CL = 95%(tanβ = 40)
m > 1017 GeV, CL = 95%(tanβ = 50)
m > 1103 GeV, CL = 95%(tanβ = 60)
+ +New Heavy Bosons +($W'$, $Z'$, leptoquarks, etc.), +Searches for + +Additional W Bosons + +$W'$ with standard couplings + +Mass $m > 5200$ GeV, CL = 95% (pp direct search) + +$W_R$ (Right-handed W Boson) + +Mass $m > 715$ GeV, CL = 90% (electroweak fit) + +Additional Z Bosons + +$Z'_{SM}$ with standard couplings + +Mass $m > 4.500 \times 10^3$ GeV, CL = 95% (pp direct search) + +$Z_{LR}$ of $SU(2)_L \times SU(2)_R \times U(1)$ (with $g_L = g_R$) + +Mass $m > 630$ GeV, CL = 95% (pP direct search) + +Mass $m > 1162$ GeV, CL = 95% (electroweak fit) + +$Z_\chi$ of $SO(10) \to SU(5) \times U(1)_\chi$ (with $g_\chi=e/\cos\theta_W$) + +Mass $m > 4.100 \times 10^3$ GeV, CL = 95% (pp direct search) + +$Z_\psi$ of $E_6 \to SO(10) \times U(1)_\psi$ (with $g_\psi=e/\cos\theta_W$) + +Mass $m > 3900$ GeV, CL = 95% (pp direct search) + +$Z_\eta$ of $E_6 \to SU(3) \times SU(2) \times U(1) \times U(1)_\eta$ (with $g_\eta=e/\cos\theta_W$) + +Mass $m > 3.900 \times 10^3$ GeV, CL = 95% (pp direct search) + +Scalar Leptoquarks + +
$m > 1050$ GeV, CL = 95%(1st gen., pair prod., $B(\tau t)=1$)
$m > 1755$ GeV, CL = 95%(1st gen., single prod., $B(\tau b)=1$)
$m > 1420$ GeV, CL = 95%(2nd gen., pair prod., $B(\mu t)=1$)
$m > 660$ GeV, CL = 95%(2nd gen., single prod., $B(\mu q)=1$)
$m > 900$ GeV, CL = 95%(3rd gen., pair prod., $B(e q)=1$)
$m > 740$ GeV, CL = 95%(3rd gen., single prod., $B(e q)=1$)
+ +(See the Particle Listings in the Full Review of Particle Physics for assumptions on leptoquark quantum numbers and branching fractions.) + +Diquarks + +Mass $m > 6000$ GeV, CL = 95% ($E_6$ diquark) + +Axigluon + +Mass $m > 6100$ GeV, CL = 95% +---PAGE_BREAK--- + +Axions ($A^0$) and Other +Very Light Bosons, Searches for + +See the review on "Axions and other similar particles." + +The best limit for the half-life of neutrinoless double beta decay with Majoron emission is > 7.2 × 10²⁴ years (CL = 90%). + +NOTES + +In this Summary Table: + +When a quantity has “(S = ...)” to its right, the error on the quantity has been enlarged by the “scale factor” S, defined as $S = \sqrt{\chi^2/(N-1)}$, where N is the number of measurements used in calculating the quantity. + +A decay momentum p is given for each decay mode. For a 2-body decay, p is the momentum of each decay product in the rest frame of the decaying particle. For a 3-or-more-body decay, p is the largest momentum any of the products can have in this frame. + +[a] Theoretical value. A mass as large as a few MeV may not be precluded. + +[b] *l* indicates each type of lepton (e, μ, and τ), not sum over them. + +[c] This represents the width for the decay of the W boson into a charged particle with momentum below detectability, $p < 200$ MeV. + +[d] The Z-boson mass listed here corresponds to a Breit-Wigner resonance parameter. It lies approximately 34 MeV above the real part of the position of the pole (in the energy-squared plane) in the Z-boson propagator. + +[e] This partial width takes into account Z decays into $\nu\bar{\nu}$ and any other possible undetected modes. + +[f] This ratio has not been corrected for the $\tau$ mass. + +[g] Here $A \equiv 2g_Vg_A/(g_V^2+g_A^2)$. + +[h] This parameter is not directly used in the overall fit but is derived using the fit results; see the note “The Z boson” and ref. LEP-SLC 06 (Physics Reports (Physics Letters C) **427** 257 (2006)). + +[i] Here *l* indicates *e* or *μ*. + +[j] The value is for the sum of the charge states or particle/antiparticle states indicated. + +[k] This value is updated using the product of (i) the $Z \to b\bar{b}$ fraction from this listing and (ii) the b-hadron fraction in an unbiased sample of weakly decaying b-hadrons produced in Z-decays provided by the Heavy Flavor Averaging Group (HFLAV, http://www.slac.stanford.edu/xorg/hflav/osc/PDG_2009/#FRACZ). + +[l] See the Z Particle Listings in the Full Review of Particle Physics for the $\gamma$ energy range used in this measurement. + +[n] For $m_{\gamma\gamma} = (60 \pm 5)$ GeV. +---PAGE_BREAK--- + +LEPTONS + +e + +$$ +J = \frac{1}{2} +$$ + +Mass $m = (548.579909070 \pm 0.000000016) \times 10^{-6}$ u + +$$ +\text{Mass } m = 0.5109989461 \pm 0.000000031 \text{ MeV} +$$ + +$$ +|m_{e^+} - m_{e^-}|/m < 8 \times 10^{-9}, \text{ CL} = 90\% +$$ + +$$ +|q_{e^+} + q_{e^-}|/e < 4 \times 10^{-8} +$$ + +Magnetic moment anomaly + +$$ +(g-2)/2 = (1159.65218091 \pm 0.00000026) \times 10^{-6} +$$ + +$$ +(g_{e^{+}} - g_{e^{-}}) / g_{\text{average}} = (-0.5 \pm 2.1) \times 10^{-12} +$$ + +Electric dipole moment $d < 0.11 \times 10^{-28}$ e cm, CL = 90% + +Mean life $\tau > 6.6 \times 10^{28}$ yr, CL = 90% [a] + +μ + +$$ +J = \frac{1}{2} +$$ + +Mass $m = 0.1134289257 \pm 0.0000000025$ u + +$$ +\text{Mass } m = 105.6583745 \pm 0.0000024 \text{ MeV} +$$ + +$$ +\text{Mean life } \tau = (2.1969811 \pm 0.0000022) \times 10^{-6} \text{ s} +$$ + +$$ +\begin{gathered} +\tau_{\mu^{+}/\tau_{\mu^{-}}} = 1.00002 \pm 0.00008 \\ +c\tau = 658.6384 \text{ m} +\end{gathered} +$$ + +Magnetic moment anomaly $(g-2)/2 = (11659209 \pm 6) \times 10^{-10}$ + +$$ +(g_{\mu^+} - g_{\mu^-}) / g_{\text{average}} = (-0.11 \pm 0.12) \times 10^{-8} +$$ + +Electric diapole moment $|d| < 1.8 \times 10^{-19}$ e cm, CL = 95% + +Decay parameters [b] + +$$ +\rho = 0.74979 \pm 0.00026 +$$ + +$\eta = 0.057 \pm 0.034$ + +$\delta = 0.75047 \pm 0.00034$ + +$$ +\xi P_{\mu} = 1.0009^{+0.0016}_{-0.0007} [c] +$$ + +$$ +\xi P_{\mu} \delta / \rho = 1.0018^{+0.0016}_{-0.0007} [c] +$$ + +$\xi' = 1.00 \pm 0.04$ + +$\xi'' = 0.98 \pm 0.04$ + +$\alpha/A = (0 \pm 4) \times 10^{-3}$ + +$\alpha'/A = (-10 \pm 20) \times 10^{-3}$ + +$\beta/A = (4 \pm 6) \times 10^{-3}$ + +$\beta'/A = (2 \pm 7) \times 10^{-3}$ + +$\bar{\eta} = 0.02 \pm 0.08$ + +$\mu^+$ modes are charge conjugates of the modes below. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ μ- DECAY MODES + + Fraction (Γf/Γ) + + Confidence level + + p (MeV/c) +
+ e-νeνμ + + ≈ 100% + + + 53 +
+ e-νeμγ + + [d] (6.0±0.5) × 10-8 + + + 53 +
+ e-νeνμe+e- + + [e] (3.4±0.4) × 10-5 + + + 53 +
+ Lepton Family number (LF) violating modes +
+ e-νeνμ + + LF [f] < 1.2 + + % + + 90% +
+ e-γ + + LF < 4.2 + + × 10-13 + + 90% +
+ e-e+e- + + LF < 1.0 + + × 10-12 + + 90% +
+ e-2γ + + LF < 7.2 + + × 10-11 + + 90% +
+---PAGE_BREAK--- + +$$J = \frac{1}{2}$$ + +Mass $m = 1776.86 \pm 0.12$ MeV +$(m_{\tau^+} - m_{\tau^-})/m_{\text{average}} < 2.8 \times 10^{-4}$, CL = 90% +Mean life $\tau = (290.3 \pm 0.5) \times 10^{-15}$ s +$c\tau = 87.03 \ \mu\text{m}$ +Magnetic moment anomaly > -0.052 and < 0.013, CL = 95% +$Re(d_{\tau}) = -0.220$ to $0.45 \times 10^{-16}$ ecm, CL = 95% +$Im(d_{\tau}) = -0.250$ to $0.0080 \times 10^{-16}$ ecm, CL = 95% + +**Weak dipole moment** + +$Re(d_{\tau}^{W}) < 0.50 \times 10^{-17}$ e cm, CL = 95% +$Im(d_{\tau}^{W}) < 1.1 \times 10^{-17}$ e cm, CL = 95% + +**Weak anomalous magnetic dipole moment** + +$Re(\alpha_{\tau}^{W}) < 1.1 \times 10^{-3}$, CL = 95% +$Im(\alpha_{\tau}^{W}) < 2.7 \times 10^{-3}$, CL = 95% +$\tau^{\pm} \rightarrow \pi^{\pm} K_S^{0} \nu_{\tau}$ (RATE DIFFERENCE) / (RATE SUM) = +(-0.36 \pm 0.25)\%$ + +**Decay parameters** + +See the τ Particle Listings in the Full Review of Particle Physics for a note concerning τ-decay parameters. + +$$\rho(e \text{ or } \mu) = 0.745 \pm 0.008$$ + +$$\rho(e) = 0.747 \pm 0.010$$ + +$$\rho(\mu) = 0.763 \pm 0.020$$ + +$$\xi(e \text{ or } \mu) = 0.985 \pm 0.030$$ + +$$\xi(e) = 0.994 \pm 0.040$$ + +$$\xi(\mu) = 1.030 \pm 0.059$$ + +$$\eta(e \text{ or } \mu) = 0.013 \pm 0.020$$ + +$$\eta(\mu) = 0.094 \pm 0.073$$ + +$$(\delta\xi)(e \text{ or } \mu) = 0.746 \pm 0.021$$ + +$$(\delta\xi)(e) = 0.734 \pm 0.028$$ + +$$(\delta\xi)(\mu) = 0.778 \pm 0.037$$ + +$$\xi(\pi) = 0.993 \pm 0.022$$ + +$$\xi(\rho) = 0.994 \pm 0.008$$ + +$$\xi(a_1) = 1.001 \pm 0.027$$ + +$\xi(\text{all hadronic modes}) = 0.995 \pm 0.007$ + +$\bar{\eta}(\mu)$ PARAMETER = -1.3 ± 1.7 + +$\xi_K(e)$ PARAMETER = -0.4 ± 1.2 + +$\xi_K(\mu)$ PARAMETER = 0.8 ± 0.6 + +$\tau^+$ modes are charge conjugates of the modes below. "h±" stands for $\pi^\pm$ or $K^\pm$. "ℓ" stands for e or $\mu$. "Neutrals" stands for $\gamma$'s and/or $\pi^0$'s. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
τ- DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
Modes with one charged particle
particle- ≥ 0 neutrals
(“1-prong”)
≥ 0K0ντ
(85.24 ± 0.06 ) %
-
particle- ≥ 0 neutrals
≥ 0K0τ
(84.58 ± 0.06 ) %
-
μ-ν̄μντ
[g] (17.39 ± 0.04 ) %
885
μ-ν̄μντγ
[e] (3.67 ± 0.08 ) × 10-3
885
e-ν̄eντ
[g] (17.82 ± 0.04 ) %
888
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
e-eνTγ[e] (1.83 ± 0.05) %888
h- ≥ 0K0L νT(12.03 ± 0.05) %883
h- νT(11.51 ± 0.05) %883
π- νT[g] (10.82 ± 0.05) %883
K- νT[g] (6.96 ± 0.10) × 10-3820
h- ≥ 1 neutralsνT(37.01 ± 0.09) %-
h- ≥ 1π0 νT (ex.K0)(36.51 ± 0.09) %-
h- π0 νT(25.93 ± 0.09) %878
π-π0 νT[g] (25.49 ± 0.09) %878
π-π0 non-ρ(770)νT(3.0 ± 3.2) × 10-3878
K- π0 νT[g] (4.33 ± 0.15) × 10-3814
h- ≥ 2π0 νT(10.81 ± 0.09) %-
h-0 νT(9.48 ± 0.10) %862
h-0 νT (ex.K0)(9.32 ± 0.10) %862
π-0 νT (ex.K0)[g] (9.26 ± 0.10) %862
π-0 νT (ex.K0), scalar< 9 × 10-3CL=95%
π-0 νT (ex.K0), vector< 7 × 10-3CL=95%
K-0 νT (ex.K0)[g] (6.5 ± 2.2) × 10-4796
h- ≥ 3π0 νT(1.34 ± 0.07) %-
h- ≥ 3π0 νT (ex. K0)(1.25 ± 0.07) %-
h-0 νT(1.18 ± 0.07) %836
π-0 νT (ex.K0)[g] (1.04 ± 0.07) %836
K-0 νT (ex.K0, η)[g] (4.8 ± 2.1) × 10-4765
h-0 νT (ex.K0)(1.6 ± 0.4) × 10-3800
h-0 νT (ex.K0, η)[g] (1.1 ± 0.4) × 10-3800
aI(1260)νT → π-γνT(3.8 ± 1.5) × 10-4-
K- ≥ 0π0 ≥ 0K0 ≥ 0γ νT(1.552±0.029) %820
K- ≥ 1 (π0 or K0 or γ) νT(8.59 ± 0.28) × 10-3-
+ + + (9.43 ± 0.28) × 10⁻³
(9.87 ± 0.14) × 10⁻³
(8.38 ± 0.14) × 10⁻³
(5.4 ± 2.1) × 10⁻⁴
(1.486 ± 0.034) × 10⁻³
(2.99 ± 0.07) × 10⁻³
(5.32 ± 0.13) × 10⁻³
(3.82 ± 0.13) × 10⁻³
(2.2 ± 0.5) × 10⁻³
(1.50 ± 0.07) × 10⁻³
(4.08 ± 0.25) × 10⁻³
(2.6 ± 2.3) × 10⁻⁴
< 1.6 × 10⁻⁴
(1.55 ± 0.24) × 10⁻³
(2.35 ± 0.06) × 10⁻⁴
(1.08 ± 0.24) × 10⁻³
(2.35 ± 0.06) × 10⁻⁴
(3.6 ± 1.2) × 10⁻⁴
(1.82 ± 0.21) × 10⁻⁵
(1.08 ± 0.21) × 10⁻⁵
(6.8 ± 1.5) × 10⁻⁶ + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% + CL=95% +---PAGE_BREAK--- + +
Modes with K*'s
(particles)
KS*(particles)
h^-KS*νT
π-KS*νT
π-KS*(non-K*(892))νT
K^-KS*νT
K^-KS
h^-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS
π-KS♩
π-K♩
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
f1(1420)π-ντ → π-K0SK0Sπ0ντ( 2.4 ± 0.8 ) × 10-6-
π-K0SK0Lπ0ντ[g] ( 3.2 ± 1.2 ) × 10-4614
π-K0LK0Lπ0ντ( 1.82 ± 0.21 ) × 10-5614
K-K0SK0Sντ< 6.3× 10-7 CL=90%
K-K0SK0Sπ0ντ< 4.0× 10-7 CL=90%
K0h+h-h- ≥ 0 neutrals ντ< 1.7× 10-3 CL=95%
K0h+h-h-ντ[g] ( 2.5 ± 2.0 ) × 10-4760
+ +Modes with three charged particles + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
h-h-h+ ≥ 0 neutrals ≥ 0K0LνT(15.20 ± 0.06) %861
h-h-h+ ≥ 0 neutrals νT
(ex. K0S → π+π-)
("3-prong")
(14.55 ± 0.06) %861
h-h-h+νT(9.80 ± 0.05) %861
h-h-h+νT (ex.K0)(9.46 ± 0.05) %861
h-h-h+νT (ex.K0,ω)(9.43 ± 0.05) %861
π-π+π-νT(9.31 ± 0.05) %861
π-π+π-νT (ex.K0)(9.02 ± 0.05) %861
π-π+π-νT (ex.K0), non-axial vector
(ex. K0S,ω)
< 2.4 %CL=95%
π-π+π-νT (ex.K0,ω)[g] (8.99 ± 0.05) %861
h-h-h+ ≥ 1 neutrals νT(5.29 ± 0.05) %-
h-h-h+ ≥ 1π0νT (ex. K0)(5.09 ± 0.05) %-
h-h-h+π0νT(4.76 ± 0.05) %834
h-h-h+π0νT (ex.K0)(4.57 ± 0.05) %834
h-h-h+π0νT (ex. K0, ω)(2.79 ± 0.07) %834
π-π+π-π0νT(4.62 ± 0.05) %834
π-π+π-π0νT (ex.K0)(4.49 ± 0.05) %834
π-π+π-π0νT(ex.K0,ω)[g] (2.74 ± 0.07) %834
h-h-h+≥ 2π°ν°T ex. K°)(5.17 ± 0.31) × 10⁻³%-
h-h-hSUPSUP+2π°ν°T)(5.05 ± 0.31) × 10⁻³%797%
hSUPSUP- hSUPSUP+2π°ν°T (ex.K°)(4.95 ± 0.31) × 10⁻³%797%
hSUPSUP- hSUPSUP+2π°ν°T (ex.K°,ω,η)[g] (10 ± 4) × 10⁻⁴%797%
hSUPSUP- hSUPSUP+3π°ν°T)(2.13 ± 0.30) × 10⁻⁴%794%
2πSUPSUP- πSUPSUP+3π°ν°T (ex.K°)(1.95 ± 0.30) × 10⁻⁴%794%
2πSUPSUP- πSUPSUP+3π°ν°T (ex.K°, η,
f₁(1285))
(1.7 ± 0.4) × 10⁻⁴%-
2πSUPSUP- πSUPSUP+3π°ν°T (ex.K°, η,
ω, f₁(1285)) [g]
(1.4 ± 2.7) × 10⁻⁵%-
KSUPSUP- hSUPSUP≥ 0 neutrals ν°T)(6.29 ± 0.14) × 10⁻³%794%
KSUPSUP- hSUPSUP+ π°ν°T (ex.K°)(4.37 ± 0.07) × 10⁻³%794%
KSUPSUP- hSUPSUP+ π°-π°ν°T (ex.K°)(8.6 ± 1.2) × 10⁻⁴%763%
KSUPSUP- πSUPSUP+ π°-≥ 0 neutrals ν°T)(4.77 ± 0.14) × 10⁻³%794%
KSUPSUP- πSUPSUP+ π°-≥ 0π°ν°T (ex.K°)(3.73 ± 0.13) × 10⁻³%794%
KSUPSUP- πSUPSUP+ π°-ν°T (ex.K°)(3.45 ± 0.07) × 10⁻³%794%
KUPSUP- πSUPSUP+ π°-ν°T (ex.K°)(2.93 ± 0.07) × 10⁻³%794%
KUPSUP- πSUPSUP+ π°-ν°T (ex.K°,ω)[g] (2.93 ± 0.07) × 10⁻³%794%
KUPSUP- ρ°ν°T → KUPSUP+ π°-π°ν°T (ex.K°)(1.4 ± 0.5) × 10⁻³%-
KUPSUP- πUPSUP+ π°-π°ν°T (ex.K°)(1.31 ± 0.12) × 10⁻³%763%
KUPSUP- πUPSUP+ π°-π°ν°T (ex.K°)(7.9 ± 1.2) × 10⁻⁴%763%
KUPSUP- πUPSUP+ π°-π°ν°T (ex.K°,η)(7.6 ± 1.2) × 10⁻⁴%763%
KUPSUP- πUPSUP+ π°-π°ν°T (ex.K°,ω)(3.7 ± 0.9) × 10⁻⁴%763%
KUPSUP- πUPSUP+ π°-π°ν°T (ex.K°,ω,η)[g](3.9 ± 1.4) × 10⁻⁴%CL=95%
CL=95%
KUPSUP- πUPSUP+ ≥ 0 neutrals ν°T)< 9 × 10⁻⁴%685%
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Miscellaneous other allowed modes + +
K- K+ π- ≥ 0 neut. ντ( 1.496 ± 0.033 ) × 10-3685
K- K+ π- ντ[g] ( 1.435 ± 0.027 ) × 10-3685
K- K+ π- π0 ντ[g] ( 6.1 ± 1.8 ) × 10-5618
K- K+ K- ντ( 2.2 ± 0.8 ) × 10-5S=5.4472
K- K+ K- ντ (ex. φ)< 2.5× 10-6CL=90%-
K- K+ K- π0 ντ< 4.8× 10-6CL=90%345
π- K+ π- ≥ 0 neut. ντ< 2.5× 10-3CL=95%794
e- e- e+ νee( 2.8 ± 1.5 ) × 10-5888
μ- e- e+ νe μνe< 3.2× 10-5CL=90%885
π- μ- μ+ νe< 1.14× 10-5CL=90%870
Modes with five charged particles
3h- 2h+ ≥ 0 neutrals ντ
(ex. KS0 → π- π+)
("5-prong")
( 9.9 ± 0.4 ) × 10-4794
3h- 2h+ ντ (ex.KS0)( 8.29 ± 0.31 ) × 10-4794
-+ νT (ex.KS0, ω)( 8.27 ± 0.31 ) × 10-4794
-+ νT (ex.KS0, ω,
f₁(1285))
[g] ( 7.75 ± 0.30 ) × 10-4-
K--+ νT (ex.KS0)[g] ( 6 ± 12 ) × 10-7716
K+- π+ νT< 5.0× 10-6CL=90%716
K+ K-- π+ νT< 4.5× 10-7CL=90%528
3h- 2h+ πS0 νT(ex.KS0)( 1.65 ± 0.11 ) × 10-4746
746
-
( 1.63 ± 0.11 ) × 10-4
( 1.11 ± 0.10 ) × 10-4
f₁(1285)
-+ πS0 νT(ex.KS0, η, ω,
f₁(1285))
K--+ πS0 νT(ex.KS0) [g]
K*(892)superscript>
+3π-π+π-ν-τ
<8
×10-7
CL=90%
3h-2h+2π-ν-τ
<3.4
×10-6
CL=90%
(5π)- ντ(7.8 ± 0.5) × 10-3800
4h-3h+ ≥ 0 neutrals ντ
                                                                                                                             (5π)ντ
< 3.0 × 10-7CL=90%682
"7-prong"
4h-3h+ντ< 4.3 × 10-7682
4h-3h+πτ< 2.5 × 10-7612
X-(S=-1)ντ(2.92 ± 0.04)%-
K*(892)ντ≥ 0 neutrals ≥
 K*(892)ντ
(1.42 ± 0.18)% S=1.4
<K*(892)ντ>
< 3.0 × 10-7CL=90%665
<K*(892)ντ>
K*(892)ντ> π-Kντ(1.20 ± 0.07)% S=1.8
<K*(892)ντ>
< 3.0 × 10-7CL=90%665
<K*(892)ντ>
K*(892)ντ≥ 0 neutrals ντ(7.82 ± 0.26) × 10-3-
K*(892)ντK-≥ 0 neutrals ντ(3.2 ± 1.4) × 10-3542
<K*(892)ντ>
K*(892)ντK-≥ 0 neutrals ντ(2.1 ± 0.4) × 10-3542
<K*(892)ντ>
K*(892)ντπ-≥ 0 neutrals ντ(3.8 ± 1.7) × 10-3655
<K*(892)ντ>
K*(892)ντπ-≥ neutrals ντ(2.2 ± 0.5) × 10-3655
<K*(892)ντ>
(K*(892)π-≥ π-Kντπν)π-≥ π-Kντπν(1.0 ± 0.4) × 10-3-
K₁(1270)-ντ(4.7 ± 1.1) × 10-3447
<K₁(1270)-ντ>
K₁(1400)-ντ(1.7 ± 2.6) × 10-3S=1.7
<K₁(1400)-ντ>
335
<K₁(1400)-ντ>
K*(1410)-ντ(1.5 + 1.4 - 1.0) × 10-3326
<K*(1410)-ντ>
K*₀(1430)-ντ<5 × 10⁻⁴ CL=95%317
<K*₀(1430)-ντ>
K*₂(1430)-ντ<3 × 10⁻³ CL=95%315
<K*₂(1430)-ντ>
ηπ-≥ν*_T
ηπ-π⁰ν*_T
[g] (1.39 ± 0.07) × 10⁻³ CL=95%
<9.9 × 10⁻⁵ CL=95%797
π-π⁰ν*_T
ηπ-π⁰ν*_T [g]>
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ηπ-π0π0νT[g] (2.0 ± 0.4) × 10-4746
ηK-νT[g] (1.55 ± 0.08) × 10-4719
ηK*(892)-νT(1.38 ± 0.15) × 10-4511
ηK-π0νT[g] (4.8 ± 1.2) × 10-5665
ηK-π0(non-K*(892))νT< 3.5 × 10-5 CL=90%-
ηR0π-νT[g] (9.4 ± 1.5) × 10-5661
ηR0π-π0νT< 5.0 × 10-5 CL=90%590
ηK-K0νT< 9.0 × 10-6 CL=90%430
ηπ+π-π- ≥ 0 neutrals νT< 3 × 10-3 CL=90%744
ηπ-π+π-νT(ex.K0)[g] (2.20 ± 0.13) × 10-4744
ηπ-π+π-νT(ex.K0, f1(1285))(9.9 ± 1.6) × 10-5-
ηa1(1260)-νT → ηπ-ρ0νT< 3.9 × 10-4 CL=90%-
ηηπ-νT< 7.4 × 10-6 CL=90%637
ηηπ-π0νT< 2.0 × 10-4 CL=95%559
ηηK-νT< 3.0 × 10-6 CL=90%382
η'(958)π-νT< 4.0 × 10-6 CL=90%620
η'(958)π-π0νT< 1.2 × 10-5 CL=90%591
η'(958)K-νT< 2.4 × 10-6 CL=90%495
φπ-νT(3.4 ± 0.6) × 10-5585
φK-νT[g] (4.4 ± 1.6) × 10-5445
f1(1285)π-νT(3.9 ± 0.5) × 10-4S=1.9408
f1(1285)π-νT → ηπ-π+π-νT(1.18 ± 0.07) × 10-4S=1.3-
f1(1285)π-νT → 3π-+νT[g] (5.2 ± 0.4) × 10-5-
π(1300)-νT → (ρπ)-νT → (3π)-νT< 1.0 × 10-4 CL=90%-
π(1300)-νT → ((ππ)S-wave π)-νT → (3π)-νT< 1.9 × 10-4 CL=90%-
h-ω ≥ 0 neutrals νT(2.40 ± 0.08) %708
h-ων̄ν̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄τ̄ τ̅(1.99 ± 0.06) % [g] (1.95 ± 0.06) % [g] (4.1 ± 0.9) × 10-4
(4.1 ± 0.4) × 10-3
(1.4 ± 0.5) × 10-4
(7.2 ± 1.6) × 10-5
(5.4) × 10-7
(708)
(708)
(708)
(610)
(684)
(644)
(644)
CL=90% (250)
-ωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωomega
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common usage, LF means lepton family violation and not lepton number
violation (e.g. τ⁻ → e⁻π⁺π⁻). B means baryon number violation. + +
e−γLF < 3.3 × 10−8 CL=90%888
μ−γLF < 4.4 × 10−8 CL=90%885
e−π0LF < 8.0 × 10−8 CL=90%883
μ−π0LF < 1.1 × 10−7 CL=90%880
e−KνS0LF < 2.6 × 10−8 CL=90%819
μ−KνS0LF < 2.3 × 10−8 CL=90%815
e−ηLF < 9.2 × 10−8 CL=90%804
μ−ηLF < 6.5 × 10−8 CL=90%800
e−ρ0LF < 1.8 × 10−8 CL=90%719
μ−ρ0LF < 1.2 × 10−8 CL=90%715
+ +Lepton Family number (LF), Lepton number (L), +or Baryon number (B) violating modes + +L means lepton number violation (e.g. τ⁻ → e⁺π⁻π⁻). Following +common usage, LF means lepton family violation and not lepton number +violation (e.g. τ⁻ → e⁻π⁺π⁻). B means baryon number violation. + +
e−γLF < 3.3 × 10−8 CL=90%888
μ−γLF < 4.4 × 10−8 CL=90%885
e−π0LF < 8.0 × 10−8 CL=90%883
μ−π0LF < 1.1 × 10−7 CL=90%880
e−KνS0LF < 2.6 × 10−8 CL=90%819
μ−KνS0LF < 2.3 × 10−8 CL=90%815
e−ηLF < 9.2 × 10−8 CL=90%804
μ−ηLF < 6.5 × 10−8 CL=90%800
e−ρ0LF < 1.8 × 10−8 CL=90%719
μ−ρ0LF < 1.2 × 10−8 CL=90%715
+ +
ηπ⁻π⁰π⁰νₜ
[g] (2.0 ± 0.4) × 10⁻⁴
CL=96%
746

719

511

665

661

590

430

744

744

-

-

-

-

-

-

-

-

-

-

-

-

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-

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-

-

-

-

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-

-

-

-

-

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-

+ +$$ \begin{array}{l} \eta K^- \nu_T \\ \eta K^*(892)^-\nu_T \\ \eta K^- \pi^0 \nu_T \\ \eta K^- \pi^+ \pi^- \nu_T \\ \eta K^- \pi^+ \pi^- \pi^+ \nu_T \\ \eta K^- \pi^+ \pi^- \pi^+ \pi^- \nu_T \\ \eta a_{(1)}(1260)^-\nu_T \rightarrow \eta \pi^- \rho^{\bar{3}} \nu_T \\ \eta \eta \pi^- \nu_T \\ \eta \eta \pi^- \pi^{\bar{3}} \nu_T \\ \eta \eta K^- \nu_T \\ \eta' (958) \pi^- \nu_T \\ \eta' (958) \pi^- \pi^{\bar{3}} \nu_T \\ \eta' (958) K^- \nu_T \\ \phi \pi^- \nu_T \\ \phi K^- \nu_T \\ f_{(1)}(1285) \pi^- \nu_T \\ f_{(1)}(1285) \pi^- \nu_T \rightarrow \\ \qquad \eta \pi^- \pi^+ \pi^- \nu_T \\ f_{(1)}(1285) \pi^- \nu_T \rightarrow \\ f_{(3)}(3\pi)^-\nu_T \rightarrow (\rho\pi)^-\nu_T \\ f_{(3\pi)}(3\pi)^-\nu_T \\ f_{(3\pi)}(3\pi)^-\nu_T \\ ((\pi\pi)\textcolor{blue}{S-wave})\pi^- \nu_T \rightarrow \\ ((\pi\pi)\textcolor{red}{S-wave})\pi^- \nu_T \\ h^- \omega \geqslant 0 \text{ neutrals } \nu_T \\ h^- \omega\nu_T \\ h^- \omega\nu_T \\ \pi^- \omega\nu_T \\ K^- \omega\nu_T \\ h^- \omega\pi^{\bar{3}}\nu_T \\ h^- \omega2\pi^{\bar{3}}\nu_T \\ \pi^- \omega2\pi^{\bar{3}}\nu_T \\ h^-2\omega\nu_T \\ h^- h^+\omega\nu_T \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\ h^- h^+\omega\nu_T (ex.K^{\bar{3}}) \\h^{-}h^{+}\omega\overline{n}\nu_{T}^{+}(\textcolor{red}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{blue}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{green}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{magenta}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{orange}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{purple}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{yellow}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{cyan}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{magenta}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{orange}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{green}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{magenta}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{orange}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{magenta}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-Wave})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(\textcolor{teal}{S-WAVE})\overline{n}\nu_{T}^{+}(ex.\textit{kW}&b&b}&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&b&c)'

+ +$$ +\begin{array}{l} +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] \\ +[\mathrm{s}] +\end{array} +$$ +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
e- ωLF< 4.8× 10-8CL=90%716
μ- ωLF< 4.7× 10-8CL=90%711
e- K*(892)0LF< 3.2× 10-8CL=90%665
μ- K*(892)0LF< 5.9× 10-8CL=90%659
e-*(892)0LF< 3.4× 10-8CL=90%665
μ-*(892)0LF< 7.0× 10-8CL=90%659
e- η'(958)LF< 1.6× 10-7CL=90%630
μ- η'(958)LF< 1.3× 10-7CL=90%625
e- f0(980) → e-π+π-LF< 3.2× 10-8CL=90%-
μ- f0(980) → μ-π+π-LF< 3.4× 10-8CL=90%-
e- φLF< 3.1× 10-8CL=90%596
μ- φLF< 8.4× 10-8CL=90%590
e- e+e-LF< 2.7× 10-8CL=90%888
e- μ+μ-LF< 2.7× 10-8CL=90%882
e+μ--μ--LF< 1.7× 10-8CL=90%882
μ-e+e-LF< 1.8× 10-8CL=90%885
μ+e-e-LF< 1.5× 10-8CL=90%885
μ--μ-+μ--LF< 2.1× 10-8CL=90%873
e-π++π+-LF< 2.3× 10-8CL=90%877
e+π--π--L< 2.0× 10-8CL=90%877
μ--π++π+
-
-

(L)
LF







































































μ+
-
-

π+
-
-

e+π-K−
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e+π-K̃———————————————————————————————————————————————————————————————————————————————————————————————&mdash- L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,B L,Bnbsp;B, m+, m- p, m- m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m- p, m+, m-&$^{3}$ CL=95%
+ + + + + + e⁻ω + LF + < + < + < + < + < + < + × + × + × + × + × + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + CL=90% + + + + +---PAGE_BREAK--- + +## Heavy Charged Lepton Searches + +### $L^{\pm}$ - charged lepton + +Mass $m > 100.8$ GeV, CL = 95% [h] Decay to $\nu W$. + +### $L^{\pm}$ - stable charged heavy lepton + +Mass $m > 102.6$ GeV, CL = 95% + +## Neutrino Properties + +See the note on "Neutrino properties listings" in the Particle Listings. + +- Mass $m < 1.1$ eV, CL = 90% (tritium decay) + +- Mean life/mass, $\tau/m > 300$ s/eV, CL = 90% (reactor) + +- Mean life/mass, $\tau/m > 7 \times 10^9$ s/eV (solar) + +- Mean life/mass, $\tau/m > 15.4$ s/eV, CL = 90% (accelerator) + +- Magnetic moment $\mu < 0.28 \times 10^{-10} \mu_B$, CL = 90% (solar + radiochemical) + +## Number of Neutrino Types + +Number $N = 2.996 \pm 0.007$ (Standard Model fits to LEP-SLC data) + +Number $N = 2.92 \pm 0.05$ ($S = 1.2$) (Direct measurement of invisible Z width) + +## Neutrino Mixing + +The following values are obtained through data analyses based on the 3-neutrino mixing scheme described in the review "Neutrino Masses, Mixing, and Oscillations." + +$$\sin^2(\theta_{12}) = 0.307 \pm 0.013$$ + +$$\Delta m^2_{21} = (7.53 \pm 0.18) \times 10^{-5} \text{ eV}^2$$ + +$$\sin^2(\theta_{23}) = 0.547 \pm 0.021 \text{ (Inverted order)}$$ + +$$\sin^2(\theta_{23}) = 0.545 \pm 0.021 \text{ (Normal order)}$$ + +$$\Delta m^2_{32} = (-2.546^{+0.034}_{-0.040}) \times 10^{-3} \text{ eV}^2 \text{ (Inverted order)}$$ + +$$\Delta m^2_{32} = (2.453 \pm 0.034) \times 10^{-3} \text{ eV}^2 \text{ (Normal order)}$$ + +$$\sin^2(\theta_{13}) = (2.18 \pm 0.07) \times 10^{-2}$$ + +$\delta$, CP violating phase $= 1.36 \pm 0.17 \pi$ rad + +$$\langle \Delta m^2_{21} - \Delta m^2_{31} \rangle < 1.1 \times 10^{-4} \text{ eV}^2, \text{ CL} = 99.7\%$$ + +$$\langle \Delta m^2_{32} - \Delta m^2_{31} \rangle = (-0.12 \pm 0.25) \times 10^{-3} \text{ eV}^2$$ +---PAGE_BREAK--- + +NOTES + +In this Summary Table: + +When a quantity has "$(S = ...)$" to its right, the error on the quantity has been +enlarged by the "scale factor" S, defined as $S = \sqrt{\chi^2/(N-1)}$, where N is the +number of measurements used in calculating the quantity. + +A decay momentum p is given for each decay mode. For a 2-body decay, p is the momentum of each decay product in the rest frame of the decaying particle. For a 3-or-more-body decay, p is the largest momentum any of the products can have in this frame. + +[a] This is the best limit for the mode $e^{-} \rightarrow \nu\gamma$. The best limit for Nuclear de-excitation experiments is 6.4 $\times$ 10$^{24}$ yr. + +[b] See the review on "Muon Decay Parameters" for definitions and details. + +[c] $P_{\mu}$ is the longitudinal polarization of the muon from pion decay. For $\nu-A$ coupling, $P_{\mu} = 1$ and $\rho = \delta = 3/4$. + +[d] This only includes events with energy of $e > 45$ MeV and energy of $\gamma > 40$ MeV. Since the $e^{-}\bar{\nu}_{e}\nu_{\mu}$ and $e^{-}\bar{\nu}_{e}\nu_{\mu}\gamma$ modes cannot be clearly separated, we regard the latter mode as a subset of the former. + +[e] See the relevant Particle Listings in the Full *Review of Particle Physics* for the energy limits used in this measurement. + +[f] A test of additive vs. multiplicative lepton family number conservation. + +[g] Basis mode for the τ. + +[h] $L^{\pm}$ mass limit depends on decay assumptions; see the Full Listings. +---PAGE_BREAK--- + +## QUARKS + +The u-, d-, and s-quark masses are estimates of so-called "current-quark masses," in a mass-independent subtraction scheme such as $\overline{\text{MS}}$ at a scale $\mu \approx 2$ GeV. The c- and b-quark masses are the "running" masses in the $\overline{\text{MS}}$ scheme. This can be different from the heavy quark masses obtained in potential models. + +### u + +$$I(J^P) = \frac{1}{2}(\frac{1}{2}^+)$$ + +$m_u = 2.16_{-0.26}^{+0.49} \text{ MeV}$ Charge = $\frac{2}{3}$ $e$ $I_z = +\frac{1}{2}$ + +$m_u/m_d = 0.47_{-0.07}^{+0.06}$ + +### d + +$$I(J^P) = \frac{1}{2}(\frac{1}{2}^+)$$ + +$m_d = 4.67_{-0.17}^{+0.48} \text{ MeV}$ Charge = $-\frac{1}{3}$ $e$ $I_z = -\frac{1}{2}$ + +$m_s/m_d = 17-22$ + +$\bar{m} = (m_u+m_d)/2 = 3.45_{-0.15}^{+0.55} \text{ MeV}$ + +### s + +$m_s = 93_{-5}^{+11} \text{ MeV}$ Charge = $-\frac{1}{3}$ $e$ Strangeness = $-1$ + +$m_s / ((m_u + m_d)/2) = 27.3_{-1.3}^{+0.7}$ + +### c + +$$I(J^P) = 0(\frac{1}{2}^+)$$ + +$m_c = 1.27 \pm 0.02 \text{ GeV}$ Charge = $\frac{2}{3}$ $e$ Charm = +1 + +$m_c/m_s = 11.72 \pm 0.25$ + +$m_b/m_c = 4.577 \pm 0.008$ + +$m_b-m_c = 3.45 \pm 0.05 \text{ GeV}$ + +### b + +$$I(J^P) = 0(\frac{1}{2}^+)$$ + +$m_b = 4.18_{-0.02}^{+0.03} \text{ GeV}$ Charge = $-\frac{1}{3}$ $e$ Bottom = $-1$ + +### t + +$$I(J^P) = 0(\frac{1}{2}^+)$$ + +Charge = $\frac{2}{3}$ $e$ Top = +1 + +Mass (direct measurements) $m = 172.76 \pm 0.30 \text{ GeV}$ [a,b] ($S = 1.2$) + +Mass (from cross-section measurements) $m = 162.5_{-1.5}^{+2.1} \text{ GeV}$ [a] + +Mass (Pole from cross-section measurements) $m = 172.4 \pm 0.7 \text{ GeV}$ + +$m_t - m_\tau = -0.16 \pm 0.19 \text{ GeV}$ + +Full width $\Gamma = 1.42_{-0.15}^{+0.19} \text{ GeV}$ ($S = 1.4$) + +$\Gamma(Wb)/\Gamma(Wq(q=b, s, d)) = 0.957 \pm 0.034$ ($S = 1.5$) +---PAGE_BREAK--- + +t-quark EW Couplings + +$$F_0 = 0.687 \pm 0.018$$ + +$$F_{-} = 0.320 \pm 0.013$$ + +$$F_{+} = 0.002 \pm 0.011$$ + +$F_{V+A} < 0.29$, CL = 95% + +
t DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
Wq(q = b, s, d)-
Wb-
ενeb(11.10±0.30) %-
μνμb(11.40±0.20) %-
τντb(11.1 ±0.9 ) %-
qqb(66.5 ±1.4 ) %-
γq(q=u,c)[c] < 1.8× 10-495%
+ +ΔT = 1 weak neutral current (T1) modes + +
Zq(q=u,c)T1[d] < 5× 10-495%
HuT1< 1.2× 10-395%
HcT1< 1.1× 10-395%
+ qq'(q=d,s,b; q'=u,c)T1< 1.6× 10-395%
+ +b' (4th Generation) Quark, Searches for + +Mass $m > 190$ GeV, CL = 95% ($p\bar{p}$, quasi-stable $b'$) + +Mass $m > 1130$ GeV, CL = 95% ($B(b' \rightarrow Zb) = 1$) + +Mass $m > 1350$ GeV, CL = 95% ($B(b' \rightarrow Wt) = 1$) + +Mass $m > 46.0$ GeV, CL = 95% ($e^{+}e^{-}$, all decays) + +t' (4th Generation) Quark, Searches for + +$m(t'(2/3)) > 1280$ GeV, CL = 95% ($B(t' \rightarrow Zt) = 1$) + +$m(t'(2/3)) > 1295$ GeV, CL = 95% ($B(t' \rightarrow Wb) = 1$) + +$m(t'(2/3)) > 1310$ GeV, CL = 95% (singlet $t'$) + +$m(t'(5/3)) > 1350$ GeV, CL = 95% + +Free Quark Searches + +All searches since 1977 have had negative results. + +NOTES + +[a] A discussion of the definition of the top quark mass in these measurements can be found in the review "The Top Quark." + +[b] Based on published top mass measurements using data from Tevatron Run-I and Run-II and LHC at $\sqrt{s} = 7$ TeV. Including the most recent unpublished results from Tevatron Run-II, the Tevatron Electroweak Working Group reports a top mass of $173.2 \pm 0.9$ GeV. See the note "The Top Quark" in the Quark Particle Listings of this Review. + +[c] This limit is for $\Gamma(t \rightarrow \gamma q)/\Gamma(t \rightarrow Wb)$. + +[d] This limit is for $\Gamma(t \rightarrow Zq)/\Gamma(t \rightarrow Wb)$. +---PAGE_BREAK--- + +LIGHT UNFLAVORED MESONS +(S = C = B = 0) + +For *l* = 1 (π, b, ρ, a): $u\bar{d}$, ($u\bar{u}-d\bar{d})/\sqrt{2}$, $d\bar{u}$; + +for *l* = 0 (η, η', h, h', ω, φ, f, f'): $c_1(u\bar{u} + d\bar{d}) + c_2(s\bar{s})$ + +$$ +\pi^{\pm} \qquad I^{G}(JP) = 1^{-}(0^{-}) +$$ + +Mass $m = 139.57039 \pm 0.00018$ MeV (S = 1.8) + +Mean life $\tau = (2.6033 \pm 0.0005) \times 10^{-8}$ s (S = 1.2) +$c\tau = 7.8045$ m + +$\pi^{\pm} \rightarrow \ell^{\pm}\nu\gamma$ form factors [a] + +$F_V = 0.0254 \pm 0.0017$ + +$F_A = 0.0119 \pm 0.0001$ + +$F_V$ slope parameter $a = 0.10 \pm 0.06$ + +$R = 0.059_{-0.008}^{+0.009}$ + +$\pi^-$ modes are charge conjugates of the modes below. + +For decay limits to particles which are not established, see the section on +Searches for Axions and Other Very Light Bosons. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
π+ DECAY MODESFraction (Γf/Γ)Confidence levelρ
(MeV/c)
μ+νμ[b] (99.98770±0.00004) %30
μ+νμγ[c] (2.00 ±0.25) × 10-430
e+νe[b] (1.230 ±0.004) × 10-470
e+νeγ[c] (7.39 ±0.05) × 10-770
e+νeπ0(1.036 ±0.006) × 10-84
e+νee+e-(3.2 ±0.5) × 10-970
e+νeν̅< 5× 10-690%
+ +Lepton Family number (LF) or Lepton number (L) violating modes + + + + + + + + + + + + + + + + + + + + + + + +
+ μ+ν̅e + + L + + [d] < 1.5 + + × 10-3 + + 90% +
+ μ+ν̅e + + LF + + [d] < 8.0 + + × 10-3 + + 90% +
+ μ-e+e+ν + + LF + + < 1.6 + + × 10-6 + + 90% +
+ +$$ +\pi^0 \qquad I^G(JPC) = 1^{-}(0^{-}) +$$ + +Mass $m = 134.9768 \pm 0.0005$ MeV (S = 1.1) + +$m_{\pi^{\pm}} - m_{\pi^{0}} = 4.5936 \pm 0.0005$ MeV + +Mean life $\tau = (8.52 \pm 0.18) \times 10^{-17}$ s (S = 1.2) +$c\tau = 25.5$ nm + +For decay limits to particles which are not established, see the appropriate Search sections ($A^0$ (axion) and Other Light Boson ($X^0$) Searches, etc.). + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ π⁰ DECAY MODES + + Fraction (Γᵢ/Γ) + + Scale factor/ Confidence level + + ρ (MeV/c) +
+ 2γ + + (98.823±0.034) % + + S=1.5 + + 67 +
+ e⁺e⁻γ + + (1.174±0.035) % + + S=1.5 + + 67 +
+ γ positronium + + (1.82 ±0.29 ) × 10⁻⁹ + + + 67 +
+ e⁺e⁺e⁻e⁻ + + (3.34 ±0.16 ) × 10⁻⁵ + + + 67 +
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
e+ e-( 6.46 ±0.33 ) × 10-8
< 2× 10-8CL=90%
ν∇e[e] < 2.7× 10-7CL=90%
νe∇ee< 1.7× 10-6CL=90%
νμ∇μ< 1.6× 10-6CL=90%
ντ∇τ< 2.1× 10-6CL=90%
γν∇< 1.9× 10-7CL=90%
+ +Charge conjugation (C) or Lepton Family number (LF) violating modes + + + + + + + < 3.1 + × 10-8 + CL=90% + + + + + < 3.8 + × 10-10 + CL=90% + + + + + < 3.4 + × 10-9 + CL=90% + + + + + < 3.6 + × 10-10 + CL=90% + + +
C
μ+ e-LF
μ- e+LF
μ+ e- + μ- e+LF
+ +$$ +\eta \qquad I_G(J^{PC}) = 0^+(0^- +) +$$ + +Mass $m = 547.862 \pm 0.017$ MeV + +Full width $\Gamma = 1.31 \pm 0.05$ keV + +C-nonconserving decay parameters + +$\pi^+ \pi^- \pi^0$ left-right asymmetry = $(0.09_{-0.12}^{+0.11}) \times 10^{-2}$ + +$\pi^+ \pi^- \pi^0$ sextant asymmetry = $(0.12_{-0.11}^{+0.10}) \times 10^{-2}$ + +$\pi^+ \pi^- \pi^0$ quadrant asymmetry = $(-0.09 \pm 0.09) \times 10^{-2}$ + +$\pi^+ \pi^- \gamma$ left-right asymmetry = $(0.9 \pm 0.4) \times 10^{-2}$ + +$\pi^+ \pi^- \gamma$ $\beta$ (D-wave) = $-0.02 \pm 0.07$ ($S = 1.3$) + +CP-nonconserving decay parameters + +$\pi^+ \pi^- e^+ e^-$ decay-plane asymmetry $A_\phi = (-0.6 \pm 3.1) \times 10^{-2}$ + +Other decay parameters + +$\pi^0 \pi^0 \pi^0$ Dalitz plot $\alpha = -0.0288 \pm 0.0012$ ($S = 1.1$) + +Parameter $\Lambda$ in $\eta \to \ell^+\ell^-\gamma$ decay = $0.716 \pm 0.011$ GeV/c² + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ η DECAY MODES + + Fraction (Γ + + η + + /Γ) + + Scale factor/ +
+ Confidence level + + ρ (MeV/c) +
+ Neutral modes +
+ neutral modes + + (72.12±0.34) % + + S=1.2 + + — +
+ 2γ + + (39.41±0.20) % + + S=1.1 + + 274 +
+ 3π + + 0 + + + (32.68±0.23) % + + S=1.1 + + 179 +
+ π + + 0 + + 2γ + + ( 2.56±0.22 ) × 10 + + -4 + + + 257 +
+ 2π + + 0 + + 2γ + + < 1.2 + + × 10 + + -3 + + + CL=90% + + 238 +
+ 4γ + + < 2.8 + + × 10 + + -4 + + + CL=90% + + 274 +
+ invisible + + < 1.0 + + × 10 + + -4 + + + CL=90% + + — +
+ Charged modes +
+ charged modes +
+ π+ π- π0 (27.89±0.29) % +
+ π+ π- γ (22.92±0.28) % +
+ e+ e- γ (4.22±0.08) % +
+ e+ e- γ (6.9 ±0.4 ) × 10-3 S=1.3 +
+ μ+ μ- γ (3.1 ±0.4 ) × 10-4 S=1.2 +
+ e+ e- γ < 7 × 10-7 CL=90% +
+ μ+ μ- (5.8 ±0.8 ) × 10-6 S=1.2 +
+ 2e+2e- (2.40±0.22) × 10-5 S=1.2 +
+ π+ π- e+ e- (γ) (2.68±0.11) × 10-4 S=1.2 +
+ e+ e- μ+ μ- < 1.6 × 10-4 CL=90% +
+ 2μ+- < 3.6 × 10-4 CL=90% +
+ μ+ μ- π+ π- < 3.6 × 10-4 CL=90% +
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
π+e-νe + c.c.< 1.7× 10-4CL=90%256
π+π-< 2.1× 10-3236
π+π-π0γ< 5× 10-4CL=90%174
π0μ+μ-γ< 3× 10-6CL=90%210
Charge conjugation (C), Parity (P),
Charge conjugation × Parity (CP), or
Lepton Family number (LF) violating modes
π0γC[f] < 9× 10-5CL=90%257
π+π-P,CP< 1.3× 10-5CL=90%236
0P,CP< 3.5× 10-4CL=90%238
0γC< 5× 10-4CL=90%238
0γC< 6× 10-5CL=90%179
C< 1.6× 10-5CL=90%274
0P,CP< 6.9× 10-7CL=90%40
π0e+e-C[g] < 8× 10-6CL=90%257
π0μ+μ-C[g] < 5× 10-6CL=90%210
μ+e-+ μ-e+LF< 6× 10-6CL=90%264
+ +$$ +f_0(500) \qquad I^G(J^{PC}) = 0^{+}(0^{++}) +$$ + +also known as σ; was f₀(600) + +See the review on "Scalar Mesons below 2 GeV." + +Mass (T-Matrix Pole $\sqrt{s}$) = (400–550)–i(200–350) MeV + +Mass (Breit-Wigner) = (400–550) MeV + +Full width (Breit-Wigner) = (400–700) MeV + +$$ +\rho(770) \qquad I^G(J^{PC}) = 1^{+}(1^{-}) +$$ + +See the note in ρ(770) Particle Listings. + +Mass *m* = 775.26 ± 0.25 MeV + +Full width Γ = 149.1 ± 0.8 MeV + +Γee = 7.04 ± 0.06 keV + + + +
ρ(770) DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
ππ~ 100363
ρ(770)± decays
π±γ( 4.5 ±0.5 ) × 10-4S=2.2375
π±η< 6 × 10-3CL=84%152
π±π+π-π0< 2.0 × 10-3CL=84%254
ρ(770)0 decays
π+π-γ( 9.9 ±1.6 ) × 10-3S=1.4362
π0γ( 4.7 ±0.6 ) × 10-4376
ηγ( 3.00±0.21 ) × 10-4194
π0π0γ( 4.5 ±0.8 ) × 10-5363
μ+μ-[h] ( 4.55±0.28 ) × 10-5373
e+e-[h] ( 4.72±0.05 ) × 10-5388
π+π-π0( 1.01+0.54-0.36±0.34 ) × 10-4323
π+π-π+π-( 1.8 ±0.9 ) × 10-5251
π+π-π0π0( 1.6 ±0.8 ) × 10-5257
π0e+e-< 1.2 × 10-5CL=90%376
+ + +---PAGE_BREAK--- + +$$ \omega(782) \qquad I_G(J^{PC}) = 0^{-}(-^{-}) $$ + +Mass $m = 782.65 \pm 0.12$ MeV (S = 1.9) + +Full width $\Gamma = 8.49 \pm 0.08$ MeV + +$\Gamma_{ee} = 0.60 \pm 0.02$ keV + +
ω(782) DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
π+π-π0(89.3 ± 0.6 ) %327
π0γ( 8.40 ± 0.22 ) %S=1.8380
π+π-( 1.53 ± 0.06 ) %366
neutrals (excluding π0 γ)( 7 +7-4 ) × 10-3S=1.1-
ηγ( 4.5 ± 0.4 ) × 10-4S=1.1200
π0e+e-( 7.7 ± 0.6 ) × 10-4380
π0μ+μ-( 1.34 ± 0.18 ) × 10-4S=1.5349
e+e-( 7.36 ± 0.15 ) × 10-5S=1.5391
π+π-π0< 2CL=90%262
π+π-γ< 3.6CL=95%366
π+π-π+π-< 1CL=90%256
π0π0γ( 6.7 ± 1.1 ) × 10-5367
ηπ0γ< 3.3CL=90%162
μ+μ-( 7.4 ± 1.8 ) × 10-5377
< 1.9CL=95%391
+ +Charge conjugation (C) violating modes + +
ηπ0C< 2.2x 10-4CL=90%162
C< 2.2x 10-4
0C< 2.2x 10-4CL=90%367
C< 2.3x 10-4
0C< 2.3x 10-4CL=90%330
C< 7x 10-5

invisible
+ +$$ \eta'(958) \qquad I_G(J^{PC}) = 0^{+}(0^{-+}) $$ + +Mass $m = 957.78 \pm 0.06$ MeV + +Full width $\Gamma = 0.188 \pm 0.006$ MeV + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
η'(958) DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
π+π-η(42.5 ±0.5)%232
ρ0γ(including non-resonant
π+π-γ)
(29.5 ±0.4)%165
π0π0η(22.4 ±0.5)%239
ωγ(2.52 ±0.07)%159
ωe+e-(2.0 ±0.4)×10-4159
γγ(2.307±0.033)%479
0(2.50 ±0.17)×10-3430
μ+μ-γ(1.13 ±0.28)×10-490%467
π+π-μ+μ-<2.9×10-5401
π+π-π0(3.61 ±0.17)×10-3428
+π-π0) S-wave(3.8 ±0.5)×10-390%428
π&mpart;ρ±
 
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Meson Summary Table 31
2(π+π-)2π0< 1%95%197
3(π+π-)< 3.1× 10-590%189
K±π&mpm;< 4× 10-590%334
π+π-e+e-( 2.4 ±1.3
−1.0 )
× 10-3458
π+e-νe + c.c.< 2.1× 10-490%469
γe+e-( 4.91 ±0.27 )× 10-4479
π0γγ( 3.20 ±0.24 )× 10-3469
π0γγ(non resonant)( 6.2 ±0.9 )× 10-4-
ηγγ< 1.33× 10-490%322
0< 3.2× 10-490%380
e+e-< 5.6× 10-990%479
invisible< 6× 10-490%-
P,CP< 1.8× 10-590%458
π+π-P,CP< 4× 10-490%459
π0π0C [g]< 1.4× 10-390%469
ηγe+e-C [g]< 2.4× 10-390%322
C< 1.0× 10-490%479
μ+μ-π0C [g]< 6.0× 10-590%445
μ+μ-ηC [g]< 1.5× 10-590%273
LF< 4.7× 10-490%473
+ +$$ +f_0(980) \qquad I^G(J^{PC}) = 0^{+}(0^{++}) +$$ + +See the review on "Scalar Mesons below 2 GeV." +Mass *m* = 990 ± 20 MeV +Full width Γ = 10 to 100 MeV + +$$ +a_0(980) \qquad I^G(J^{PC}) = 1^{-}(0^{++}) +$$ + +See the review on "Scalar Mesons below 2 GeV." +Mass *m* = 980 ± 20 MeV +Full width Γ = 50 to 100 MeV + +$$ +\phi(1020) \qquad I^G(J^{PC}) = 0^{-}(1^{--}) +$$ + +Mass m = 1019.461 ± 0.016 MeV +Full width Γ = 4.249 ± 0.013 MeV (S = 1.1) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ $\phi(1020)$ DECAY MODES + + Fraction ($\Gamma_f/\Gamma$) + + Scale factor/ Confidence level + + $\rho$ (MeV/c) +
+ K+K- + + (49.2 ±0.5 ) % + + S=1.3 + + 127 +
+ KL0KS0 + + (34.0 ±0.4 ) % + + S=1.3 + + 110 +
+ ρπ + π+π-πS0 + + (15.24 ±0.33 ) % + + S=1.2 + + - +
+ ηγ + + ( 1.303±0.025 ) % + + S=1.2 + + 363 +
+ πS0γ + + ( 1.30 ±0.05 ) × 10-3 +
+ ℓ+- + + - + + 510 +
+ e+e- + + ( 2.973±0.034) × 10-4 S=1.3 + + 510 +
+ μ+μ- + + ( 2.86 ±0.19 ) × 10-4 + + 499 +
+ nνSe+e- + + ( 1.08 ±0.04 ) × 10-4 + + 363 +
+ π+π- + + ( 7.3 ±1.3 ) × 10-5 + + 490 +
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ωπ0( 4.7 ±0.5 ) × 10-5172
ωγ< 5 %CL=84%209
ργ< 1.2 × 10-5CL=90%215
π+ π- γ( 4.1 ±1.3 ) × 10-5490
f0(980)γ( 3.22 ±0.19 ) × 10-4S=1.129
π0 π0 γ( 1.12 ±0.06 ) × 10-4492
π+ π- π+ π-( 3.9 +2.8-2.2 ) × 10-6410
π+ π+ π- π- π0< 4.6 × 10-6CL=90%342
π0 e+ e-( 1.33 +0.07-0.10 ) × 10-5501
π0 ηγ( 7.27 ±0.30 ) × 10-5S=1.5346
a0(980)γ( 7.6 ±0.6 ) × 10-539
K0/K0γ< 1.9 × 10-8CL=90%110
η'(958)γ( 6.22 ±0.21 ) × 10-560
ηπ0 π0 γ< 2 × 10-5CL=90%293
μ+ μ- γ( 1.4 ±0.5 ) × 10-5499
ργγ< 1.2 × 10-4CL=90%215
ηπ+ π-< 1.8 × 10-5CL=90%288
ημ+ μ-< 9.4 × 10-6CL=90%321
ηU → ηe+e-< 1 × 10-6CL=90%-
invisible< 1.7 × 10-4CL=90%-
Lepton Family number (LF) violating modes
e± μ&mpart;LF< 2× 10-6CL=90%504
+ +$$ +h_1(1170) \qquad I_G(JPC) = 0^{--}(1^{+-}) +$$ + +Mass *m* = 1166 ± 6 MeV + +Full width Γ = 375 ± 35 MeV + +$$ +b_1(1235) \qquad I_G(JPC) = 1^+(1^{-+}) +$$ + +Mass $m = 1229.5 \pm 3.2$ MeV (S = 1.6) + +Full width $\Gamma = 142 \pm 9$ MeV (S = 1.2) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +See Particle Listings for 2 decay modes that have been seen / not seen. + +**η(1295)** + +$$ I^G(J^{PC}) = \eta^+(0^{-+}) $$ + +See the review on "Pseudoscalar and pseudovector mesons in the +1400 MeV region." + +Mass *m* = **1294** ± **4** MeV (S = **1.6**) + +Full width Γ = **55** ± **5** MeV +---PAGE_BREAK--- + +### $\pi(1300)$ + +$$ I_G(J^{PC}) = 1-(0^{-+}) $$ + +Mass $m = 1300 \pm 100$ MeV [J] + +Full width $\Gamma = 200$ to $600$ MeV + +### $a_2(1320)$ + +$$ I_G(J^{PC}) = 1-(2^{++}) $$ + +Mass $m = 1316.9 \pm 0.9$ MeV (S = 1.9) + +Full width $\Gamma = 107 \pm 5$ MeV [J] + +
bL(1235) DECAY MODESFraction (ΓL/Γ)Confidence level (MeV/c)
p
( 1.6 ±0.4 ) × 10-3

(K∇)±πS0
< 50 %
(32.7 ± 1.9) %S=1.2568
π0 π0 π+ π-(21.8 ± 1.3) %S=1.2566
+-(10.9 ± 0.6) %S=1.2563
ρ0 π+ π-(10.9 ± 0.6) %S=1.2336
0< 7 × 10-4CL=90%568
ηπ+ π-(35 ± 15) %479
ηπππ(52.2 ± 2.0) %S=1.2482
a0(980)π [ignoring a0(980) → KK](38 ± 4) %238
ηπππ [excluding a0(980)ππ](14 ± 4) %482
KKπ(9.0 ± 0.4) %S=1.1308
π+ π- π0(3.0 ± 0.9) × 10-3603
ρ± π< 3.1 × 10-3CL=95%390
γρ0(6.1 ± 1.0) %S=1.7406
φγ(7.4 ± 2.6) × 10-4236
e+ e-< 9.4 × 10-9CL=90%641
a2(1320) DECAY MODESFraction (Γj/Γ)Scale factor/
Confidence level
p
(MeV/c)
(70.1 ±2.7)%S=1.2623
ηπ(14.5 ±1.2)%535
ωππ(10.6 ±3.2)%S=1.3364
KK(4.9 ±0.8)%436
η'(958)π(5.5 ±0.9) × 10-3287
π±γ(2.91±0.27) × 10-3651
γγ(9.4 ±0.7) × 10-6658
e+e-< 5 × 10-9CL=90%658
+ +### $f_6(1370)$ + +$$ I_G(J^{PC}) = 0+(0^{++}) $$ + +See the review on "Scalar Mesons below 2 GeV." +Mass $m = 1200$ to $1500$ MeV +Full width $\Gamma = 200$ to $500$ MeV + +### $\pi_1(1400)$ [k] + +$$ I_G(J^{PC}) = 1-(1^{-+}) $$ + +See the review on "Non-$q\bar{q}$ Mesons." +Mass $m = 1354 \pm 25$ MeV (S = 1.8) +Full width $\Gamma = 330 \pm 35$ MeV + +### $\eta(1405)$ + +$$ I_G(J^{PC}) = 0+(0^{-+}) $$ + +See the review on "Pseudoscalar and Pseudovector Mesons in the 1400 MeV Region." + +Mass $m = 1408.8 \pm 2.0$ MeV (S = 2.2) + +Full width $\Gamma = 50.1 \pm 2.6$ MeV (S = 1.7) + +
η(1405) DECAY MODESFraction (Γj/Γ)Confidence levelp
(MeV/c)
ρρ<58%99.85%
+ +See Particle Listings for 9 decay modes that have been seen / not seen. + +### $h_1(1415)$ + +$$ I_G(J^{PC}) = 0-(1^{+-}) $$ + +was $h_1(1380)$ + +Mass $m = 1416 \pm 8$ MeV (S = 1.5) + +Full width $\Gamma = 90 \pm 15$ MeV +---PAGE_BREAK--- + +$f_1(1420)$ + +$$I^G(J^{PC}) = 0^{+}(1^{++})$$ + +See the review on "Pseudoscalar and Pseudovector Mesons in the +1400 MeV Region." + +Mass $m = 1426.3 \pm 0.9$ MeV (S = 1.1) + +Full width $\Gamma = 54.5 \pm 2.6$ MeV + +$\omega(1420)$ [J] + +$$I^G(J^{PC}) = 0^{--}(1^{--})$$ + +Mass $m = 1410 \pm 60$ MeV [J] + +Full width $\Gamma = 290 \pm 190$ MeV [J] + +$a_0(1450)$ + +$$I^G(J^{PC}) = 1^{--}(0^{++})$$ + +See the review on "Scalar Mesons below 2 GeV." + +Mass $m = 1474 \pm 19$ MeV + +Full width $\Gamma = 265 \pm 13$ MeV + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
a0(1450) DECAY MODESFraction (Γf/Γ)ρ (MeV/c)
πη0.093 ± 0.020627
πη'(958)0.033 ± 0.017410
K&K0.082 ± 0.028547
ωππ484
+ +**DEFINED AS 1** + +See Particle Listings for 2 decay modes that have been seen / not seen. + +$\rho(1450)$ + +$$I^G(J^{PC}) = 1^{+}(1^{-^{-}})$$ + +See the note in $\rho(1450)$ Particle Listings. + +Mass $m = 1465 \pm 25$ MeV [J] + +Full width $\Gamma = 400 \pm 60$ MeV [J] + +$\eta(1475)$ + +$$I^G(J^{PC}) = 0^{+}(0^{-+})$$ + +See the review on "Pseudoscalar and Pseudovector Mesons in the +1400 MeV Region." + +Mass $m = 1475 \pm 4$ MeV (S = 1.4) + +Full width $\Gamma = 90 \pm 9$ MeV (S = 1.6) + +$f_0(1500)$ + +$$I^G(J^{PC}) = 0^{+}(0^{++})$$ + +See the reviews on "Scalar Mesons below 2 GeV" and on "Non-$q\bar{q}$ Mesons". + +Mass $m = 1506 \pm 6$ MeV (S = 1.4) + +Full width $\Gamma = 112 \pm 9$ MeV + + + + + + + + + + + + + + + + + + + + + + + + +
f0(1500) DECAY MODESFraction (Γf/Γ)Scale factorp
(MeV/c)
ππ(34.5 ± 2.2) %1.2741
(48.9 ± 3.3) %1.2692
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + +
ηη( 6.0±0.9) %1.1517
ηη'(958)( 2.2±0.8) %1.420
KK( 8.5±1.0) %1.1569
+ +See Particle Listings for 9 decay modes that have been seen / not seen. + +$f_2'(1525)$ + +$I_G(JPC) = 0^+(2^+)$ + +Mass $m = 1517.4 \pm 2.5$ MeV (S = 2.8) + +Full width $\Gamma = 86 \pm 5$ MeV (S = 2.2) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
f'2(1525) DECAY MODESFraction (Γj/Γ)Scale factorp
(MeV/c)
KK(87.6±2.2) %1.1576
ηη(11.6±2.2) %1.1525
ππ( 8.3±1.6) × 10-3747
γγ( 9.5±1.1) × 10-71.1759
+ +$\pi_1(1600)$ + +$I_G(JPC) = 1^-(1^-)$ + +See the review on "Non-$q\bar{q}$ Mesons" and a note in PDG 06, Journal of Physics G33 1 (2006). + +Mass $m = 1660 \pm 15_{-11}^{+15}$ MeV (S = 1.2) + +Full width $\Gamma = 257 \pm 60$ MeV (S = 1.9) + +$a_1(1640)$ + +$I_G(JPC) = 1^-(1^+)$ + +Mass $m = 1655 \pm 16$ MeV (S = 1.2) + +Full width $\Gamma = 254 \pm 40$ MeV (S = 1.8) + +$\eta_2(1645)$ + +$I_G(JPC) = 0^+(2^-)$ + +Mass $m = 1617 \pm 5$ MeV + +Full width $\Gamma = 181 \pm 11$ MeV + +$\omega(1650)^{[\eta]}$ + +$I_G(JPC) = 0^-(1^{--})$ + +Mass $m = 1670 \pm 30$ MeV [J] + +Full width $\Gamma = 315 \pm 35$ MeV [J] + +$\omega_3(1670)$ + +$I_G(JPC) = 0^-(3^{--})$ + +Mass $m = 1667 \pm 4$ MeV + +Full width $\Gamma = 168 \pm 10$ MeV + +$\pi_2(1670)$ + +$I_G(JPC) = 1^-(2^-)$ + +Mass $m = 1670.6 \pm _{1.2}^{+2.9}$ MeV (S = 1.3) + +Full width $\Gamma = 258 \pm _9^{+8}$ MeV (S = 1.2) +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
π2(1670) DECAY MODES
Fraction (Γf/Γ)Confidence levelρ
(MeV/c)
(95.8±1.4) %808
f2(1270)π(56.3±3.2) %327
ρπ(31 ±4) %647
σπ(10 ±4) %-
π(ππ)S-wave(8.7±3.4) %-
π±π±π-(53 ±4) %806
K±K*(892) + c.c.(4.2±1.4) %453
ωρ(2.7±1.1) %302
π±γ(7.0±1.2) × 10-4829
γγ< 2.8 × 10-790%835
ηπ< 5 %739
π±+-< 5 %735
ρ(1450)π< 3.6 × 10-397.7%145
b1(1235)π< 1.9 × 10-397.7%364
+ +See Particle Listings for 2 decay modes that have been seen / not seen. + +$$ +\phi(1680) +$$ + +$$ +I^G(J^{PC}) = 0^{--} +$$ + +Mass $m = 1680 \pm 20$ MeV [J] + +Full width $\Gamma = 150 \pm 50$ MeV [J] + +$$ +\rho_3(1690) +$$ + +$$ +I^G(J^{PC}) = 1^{++}(-3-) +$$ + +Mass $m = 1688.8 \pm 2.1$ MeV + +Full width $\Gamma = 161 \pm 10$ MeV ($S = 1.5$) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ρ3(1690) DECAY MODES
Fraction (Γf/Γ)Scale factorρ
(MeV/c)
(71.1 ± 1.9)%790
π±π+π-π0(67 ± 22)%787
ωπ(16 ± 6)%655
ππ(23.6 ± 1.3)%834
K&K/π(    3.8 ± 1.2)%629
KK/κ(    (1.58 ± 0.26)%    )1.2685
+ +See Particle Listings for 5 decay modes that have been seen / not seen. + +$$ +\rho(1700) \qquad I^G(J^{PC}) = 1^{+-}(-1-) +$$ + +See the note in ρ(1700) Particle Listings. + +Mass $m = 1720 \pm 20$ MeV [J] ($\eta\rho^0$ and $\pi^+\pi^-$ modes) + +Full width $\Gamma = 250 \pm 100$ MeV [$\overline{J}$] ($\eta\rho^0$ and $\pi^+\pi^-$ modes) + +$$ +a_2(1700) \qquad I^G(J^{PC}) = 1^{-(2++)} +$$ + +Mass $m = 1705 \pm 40$ MeV + +Full width $\Gamma = 258 \pm 40$ MeV + +
a2(1700) DECAY MODES
Fraction (Γf/Γ)p (MeV/c)
ηπ(3.7 ±1.0 ) %758
γγ̅(1.16±0.27) × 10-6852
KK(1.9 ±1.2 ) %695
+---PAGE_BREAK--- + +**f₀(1710)** + +$$I^G(J^{PC}) = 0^{+}(0^{++})$$ + +See the review on "Non-$q\bar{q}$ Mesons." +Mass $m = 1704 \pm 12$ MeV +Full width $\Gamma = 123 \pm 18$ MeV + +**π(1800)** + +$$I^G(J^{PC}) = 1^{-(0^{-+})}$$ + +Mass $m = 1810_{-11}^{+9}$ MeV (S = 2.2) +Full width $\Gamma = 215_{-8}^{+7}$ MeV + +**φ₃(1850)** + +$$I^G(J^{PC}) = 0^{--}(3^{--})$$ + +Mass $m = 1854 \pm 7$ MeV +Full width $\Gamma = 87_{-23}^{+28}$ MeV (S = 1.2) + +**η₂(1870)** + +$$I^G(J^{PC}) = 0^{+}(2^{-+})$$ + +Mass $m = 1842 \pm 8$ MeV +Full width $\Gamma = 225 \pm 14$ MeV + +**π₂(1880)** + +$$I^G(J^{PC}) = 1^{-(2^{-+})}$$ + +Mass $m = 1874_{-5}^{+26}$ MeV (S = 1.6) +Full width $\Gamma = 237_{-30}^{+33}$ MeV (S = 1.2) + +**f₂(1950)** + +$$I^G(J^{PC}) = 0^{+}(2^{++})$$ + +Mass $m = 1936 \pm 12$ MeV (S = 1.3) +Full width $\Gamma = 464 \pm 24$ MeV + +**a₄(1970)** + +$$I^G(J^{PC}) = 1^{-(4^{++})}$$ + +was a₄(2040) +Mass $m = 1967 \pm 16$ MeV (S = 2.1) +Full width $\Gamma = 324_{-18}^{+15}$ MeV + +**f₂(2010)** + +$$I^G(J^{PC}) = 0^{+}(2^{++})$$ + +Mass $m = 2011_{-80}^{+60}$ MeV +Full width $\Gamma = 202 \pm 60$ MeV +---PAGE_BREAK--- + +$f_4(2050)$ + +$$ I^G(J^{PC}) = 0^{+}(4^{++}) $$ + +Mass $m = 2018 \pm 11$ MeV (S = 2.1) + +Full width $\Gamma = 237 \pm 18$ MeV (S = 1.9) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
$f_4(2050)$ DECAY MODESFraction ($\Gamma_I/\Gamma$)p (MeV/c)
$\pi\pi$(17.0±1.5) %1000
$K\overline{K}$(6.8+3.4-1.8 × 10-3)880
$\eta\eta$(2.1±0.8) × 10-3848
$4\pi^0$< 1.2 %964
+ +See Particle Listings for 2 decay modes that have been seen / not seen. + +$\phi(2170)$ + +$$ I^G(J^{PC}) = 0^{-}(1^{--}) $$ + +Mass $m = 2160 \pm 80$ MeV [J] + +Full width $\Gamma = 125 \pm 65$ MeV [J] + +$f_2(2300)$ + +$$ I^G(J^{PC}) = 0^{+}(2^{++}) $$ + +Mass $m = 2297 \pm 28$ MeV + +Full width $\Gamma = 149 \pm 40$ MeV + +$f_2(2340)$ + +$$ I^G(J^{PC}) = 0^{+}(2^{++}) $$ + +Mass $m = 2345_{-40}^{+50}$ MeV + +Full width $\Gamma = 322_{-60}^{+70}$ MeV + +STRANGE MESONS +($S = \pm 1$, $C = B = 0$) + +$K^+ = u\bar{s}, K^0 = d\bar{s}, \bar{K}^0 = \bar{d}s, K^- = \bar{u}s, \text{ similarly for } K^*'$s + +$K^\pm$ + +$$ I(J^P) = \frac{1}{2}(0^{-}) $$ + +Mass $m = 493.677 \pm 0.016$ MeV [o] (S = 2.8) + +Mean life $\tau = (1.2380 \pm 0.0020) \times 10^{-8}$ s (S = 1.8) + +$c\tau = 3.711$ m + +CPT violation parameters ($\Delta$ = rate difference/sum) + +$\Delta(K^\pm \to \mu^\pm\nu_\mu) = (-0.27 \pm 0.21)\%$ + +$\Delta(K^\pm \to \pi^\pm\pi^0) = (0.4 \pm 0.6)\%$ [p] + +CP violation parameters ($\Delta$ = rate difference/sum) + +$\Delta(K^\pm \to \pi^\pm e^+e^-) = (-2.2 \pm 1.6) \times 10^{-2}$ + +$\Delta(K^\pm \to \pi^\pm\mu^+\mu^-) = 0.010 \pm 0.023$ + +$\Delta(K^\pm \to \pi^\pm\pi^0\gamma) = (0.0 \pm 1.2) \times 10^{-3}$ + +$\Delta(K^\pm \to \pi^\pm\pi^+\pi^-) = (0.04 \pm 0.06)\%$ + +$\Delta(K^\pm \to \pi^\pm\pi^0\pi^0) = (-0.02 \pm 0.28)\%$ +---PAGE_BREAK--- + +### T violation parameters + +$$K^+ \to \pi^0 \mu^+ \nu_\mu \quad P_T = (-1.7 \pm 2.5) \times 10^{-3}$$ + +$$K^+ \to \mu^+ \nu_\mu \gamma \quad P_T = (-0.6 \pm 1.9) \times 10^{-2}$$ + +$$K^+ \to \pi^0 \mu^+ \nu_\mu \quad \text{Im}(\xi) = -0.006 \pm 0.008$$ + +### Slope parameter g [q] + +(See Particle Listings for quadratic coefficients and alternative parametrization related to $\pi\pi$ scattering) + +$$K^{\pm} \to \pi^{\pm} \pi^{+} \pi^{-} g = -0.21134 \pm 0.00017$$ + +$$ (g_+ - g_-) / (g_+ + g_-) = (-1.5 \pm 2.2) \times 10^{-4} $$ + +$$K^{\pm} \to \pi^{\pm} \pi^{0} \pi^{0} g = 0.626 \pm 0.007$$ + +$$ (g_{+} - g_{-}) / (g_{+} + g_{-}) = (1.8 \pm 1.8) \times 10^{-4} $$ + +### K± decay form factors [a,r] + +Assuming $\mu$-$e$ universality + +$$\lambda_+(K_{\mu3}^+) = \lambda_+(K_{e3}^+) = (2.959 \pm 0.025) \times 10^{-2}$$ + +$$\lambda_0(K_{\mu3}^+) = (1.76 \pm 0.25) \times 10^{-2} \quad (\text{S} = 2.7)$$ + +Not assuming $\mu$-$e$ universality + +$$\lambda_+(K_{e3}^+) = (2.956 \pm 0.025) \times 10^{-2}$$ + +$$\lambda_+(K_{\mu3}^+) = (3.09 \pm 0.25) \times 10^{-2} \quad (\text{S} = 1.5)$$ + +$$\lambda_0(K_{\mu3}^+) = (1.73 \pm 0.27) \times 10^{-2} \quad (\text{S} = 2.6)$$ + +$K_{e3}$ form factor quadratic fit + +$$\lambda'_+(\mathcal{K}_{e3}^\pm) \text{ linear coeff.} = (2.59 \pm 0.04) \times 10^{-2}$$ + +$$\lambda''_+(\mathcal{K}_{e3}^\pm) \text{ quadratic coeff.} = (0.186 \pm 0.021) \times 10^{-2}$$ + +$\lambda'_+$ (LINEAR $K_{\mu3}^\pm$ FORM FACTOR FROM QUADRATIC FIT) =$ (24 \pm 4) \times 10^{-3}$ + +$\lambda''_+$ (QUADRATIC $K_{\mu3}^\pm$ FORM FACTOR) = $(1.8 \pm 1.5) \times 10^{-3}$ + +$M_V$ (VECTOR POLE MASS FOR $K_{e3}^\pm$ DECAY) = $890.3 \pm 2.8$ MeV + +$M_V$ (VECTOR POLE MASS FOR $K_{\mu3}^\pm$ DECAY) = $878 \pm 12$ MeV + +$M_S$ (SCALAR POLE MASS FOR $K_{\mu3}^\pm$ DECAY) = $1215 \pm 50$ MeV + +$\Lambda_+$ (DISPERSIVE VECTOR FORM FACTOR IN $K_{e3}^\pm$ DECAY) = $(2.460 \pm 0.017) \times 10^{-2}$ + +$\Lambda_+$ (DISPERSIVE VECTOR FORM FACTOR IN $K_{\mu3}^\pm$ DECAY) = $(25.4 \pm 0.9) \times 10^{-3}$ + +$\ln(C)$ (DISPERSIVE SCALAR FORM FACTOR in $K_{\mu3}^\pm$ decays) = $(182 \pm 16) \times 10^{-3}$ + +$$K_{e3}^{+} |f_S/f_{+}| = (-0.08^{+0.34}_{-0.40}) \times 10^{-2}$$ + +$$K_{e3}^{+} |f_T/f_{+}| = (-1.2^{+1.3}_{-1.1}) \times 10^{-2}$$ + +$$K_{\mu3}^{+} |f_S/f_{+}| = (0.2 \pm 0.6) \times 10^{-2}$$ + +$$K_{\mu3}^{+} |f_T/f_{+}| = (-0.1 \pm 0.7) \times 10^{-2}$$ + +$$K^+ \to e^+ \nu_e \gamma \quad |F_A + F_V| = 0.133 \pm 0.008 \quad (\text{S} = 1.3)$$ + +$$K^+ \to \mu^+ \nu_\mu \gamma \quad |F_A + F_V| = 0.165 \pm 0.013$$ + +$$K^+ \to e^+ \nu_e \gamma \quad |F_A - F_V| < 0.49, \text{ CL } = 90\%$$ + +$$K^+ \to \mu^+ \nu_\mu \gamma \quad |F_A - F_V| = -0.153 \pm 0.033 \quad (\text{S} = 1.1)$$ +---PAGE_BREAK--- + +**Charge radius** + +$$ \langle r \rangle = 0.560 \pm 0.031 \text{ fm} $$ + +**Forward-backward asymmetry** + +$$ A_{FB}(K_{\pi\mu\mu}^{\pm}) = \frac{\Gamma(\cos(\theta_{K\mu})>0)-\Gamma(\cos(\theta_{K\mu})<0)}{\Gamma(\cos(\theta_{K\mu})>0)+\Gamma(\cos(\theta_{K\mu})<0)} < 2.3 \times 10^{-2}, \text{ CL} = 90\% $$ + +$K^-$ modes are charge conjugates of the modes below. + +
Κ+ DECAY MODESFraction (Γf/Γ)Scale factor/ ρ
Confidence level (MeV/c)
Leptonic and semileptonic modes
e+ νe( 1.582±0.007 ) × 10-5247
μ+ νμ( 63.56 ±0.11 ) %S=1.2 236
π0 e+ νe( 5.07 ±0.04 ) %S=2.1 228
Called Ke3+
π0 μ+ νμ( 3.352±0.033 ) %S=1.9 215
Called Kμ3+
π0 π0 e+ νe( 2.55 ±0.04 ) × 10-5S=1.1 206
π+ π- e+ νe( 4.247±0.024 ) × 10-5203
π+ π- μ+ νμ( 1.4 ±0.9 ) × 10-5151
π0 π0 π0 e+ νe< 3.5 × 10-6CL=90% 135
Hadronic modes
π+ π0( 20.67 ±0.08 ) %S=1.2 205
π+ π0 π0( 1.760±0.023 ) %S=1.1 133
π+ π+ π-( 5.583±0.024 ) %125
Leptonic and semileptonic modes with photons
μ+ νμ γ[s,t] ( 6.2 ±0.8 ) × 10-3236
μ+ νμ γ(SD+)[a,u] ( 1.33 ±0.22 ) × 10-5-
μ+ νμ γ(SD+INT)[a,u] < 2.7 × 10-5CL=90% -
μ+ νμ γ(SD- + SD-INT)[a,u] < 2.6 × 10-4CL=90% -
e+ νe γ( 9.4 ±0.4 ) × 10-6247
π0 e+ νe γ[s,t] ( 2.56 ±0.16 ) × 10-4228
π0 e+ νe γ(SD)[a,u] < 5.3 × 10-5CL=90% 228
π0 μ+ νμ γ[s,t] ( 1.25 ±0.25 ) × 10-5215
π0 π0 e+ νe γ< 5 × 10-6CL=90% 206
Hadronic modes with photons or ℓℓ pairs
π+ π0 γ(INT)(-4.2 ±0.9) × 10-6-
π+ π0 γ(DE)[s,v] ( 6.0 ±0.4 ) × 10-6205
π+ π0e-e-( 4.24 ±0.14 ) × 10-6205
[s,t] ( 7.6
+6.0
-3.0
) × 10-6
π+ π0π0γ[s,t] ( 7.1 ±0.5 ) × 10-6133
[s] ( 1.01 ±0.06 ) × 10-6
π+γγ[s] < 1.0 × 10-4CL=90%
π+3γ( 1.19 ±0.13 ) × 10-8
Leptonic modes with ℓℓ pairs
e+νeνν< 6 × 10-5CL=90%
μνν< 2.4 × 10-6
eνee+e-e-( 2.48 ±0.20 ) × 10-8247
μννe+e-e-( 7.06 ±0.31 ) × 10-8
eνeμ+μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-μ-\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\\ +\end{aligned} +$$ +---PAGE_BREAK--- + +Lepton family number (LF), Lepton number (L), $\Delta S = \Delta Q$ (SQ) +violating modes, or $\Delta S = 1$ weak neutral current (S1) modes + +
π+ π+ e-νeSQ< 1.3× 10-8CL=90%203
π+ π+ μ-νμSQ< 3.0× 10-6CL=95%151
π+ e+e-S1( 3.00 ±0.09 )× 10-7227
π+ μ+μ-S1( 9.4 ±0.6 )× 10-8S=2.6172
π+ νν̄S1( 1.7 ±1.1 )× 10-10227
π+ π0νν̄S1< 4.3× 10-5CL=90%205
μ- νe+e+LF< 2.1× 10-8CL=90%236
μ+ νeLF [d] < 4× 10-3CL=90%236
π+ μ+e-LF< 1.3× 10-11CL=90%214
π+ μ-e+LF< 5.2× 10-10CL=90%214
π- μ+e+L< 5.0× 10-10CL=90%214
π- e+e+L< 2.2× 10-10CL=90%227
π- μ+μ+L< 4.2× 10-11CL=90%172
μ+ν̄eL [d] < 3.3× 10-3CL=90%236
π0e+ēeL [x] < 3× 10-3CL=90%228
π+ γ̄[x] < 2.3× 10-9CL=90%227
+ +$$I(J^P) = \frac{1}{2}(0^-)$$ + +50% $K_S$, 50% $K_L$ + +$$\text{Mass } m = 497.611 \pm 0.013 \text{ MeV} \quad (\text{S} = 1.2)$$ + +$$m_{K^0} - m_{\bar{K}^0} = 3.934 \pm 0.020 \text{ MeV} \quad (\text{S} = 1.6)$$ + +Mean square charge radius + +$$\langle r^2 \rangle = -0.077 \pm 0.010 \text{ fm}^2$$ + +T-violation parameters in $K^0-\bar{K}^0$ mixing [r] + +Asymmetry $A_T$ in $K^0-\bar{K}^0$ mixing = $(6.6 \pm 1.6) \times 10^{-3}$ + +CP-violation parameters + +$$\mathrm{Re}(\epsilon) = (1.596 \pm 0.013) \times 10^{-3}$$ + +CPT-violation parameters [r] + +$$\mathrm{Re}\,\delta = (2.5 \pm 2.3) \times 10^{-4}$$ + +$$\mathrm{Im}\,\delta = (-1.5 \pm 1.6) \times 10^{-5}$$ + +$\mathrm{Re}(y)$, $K_{e3}$ parameter = $(0.4 \pm 2.5) \times 10^{-3}$ + +$\mathrm{Re}(x_−)$, $K_{e3}$ parameter = $(-2.9 \pm 2.0) \times 10^{-3}$ + +$$|m_{K^0} - m_{\bar{K}^0}| / m_{\text{average}} < 6 \times 10^{-19}, \text{ CL} = 90\% [\text{V}]$$ + +$$(\Gamma_{K^0} - \Gamma_{\bar{K}^0})/m_{\text{average}} = (8 \pm 8) \times 10^{-18}$$ + +Tests of $\Delta S = \Delta Q$ + +$$\mathrm{Re}(x_+), K_{e3} \text{ parameter} = (-0.9 \pm 3.0) \times 10^{-3}$$ + +$$I(J^P) = \frac{1}{2}(0^-)$$ + +Mean life $\tau = (0.8954 \pm 0.0004) \times 10^{-10}$ s (S = 1.1) Assuming CPT + +Mean life $\tau = (0.89564 \pm 0.00033) \times 10^{-10}$ s Not assuming CPT +$c\tau = 2.6844 \text{ cm}$ Assuming CPT +---PAGE_BREAK--- + +CP-violation parameters [z] + +$$ +\begin{align*} +\operatorname{Im}(\eta_{+-0}) &= -0.002 \pm 0.009 \\ +\operatorname{Im}(\eta_{000}) &= -0.001 \pm 0.016 +\end{align*} +$$ + +$$ +|\eta_{000}| = |A(K_S^0 \rightarrow 3\pi^0)/A(K_L^0 \rightarrow 3\pi^0)| < 0.0088, \text{ CL} = 90\% +$$ + +CP asymmetry A in π⁺π⁻ e⁺e⁻ = (-0.4 ± 0.8)% + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K0S DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
ρ
(MeV/c)
Hadronic modes
π0π0(30.69±0.05) %209
π+π-(69.20±0.05) %206
π+π-π0(3.5 +1.1-0.9) × 10-7133
Modes with photons or lℓ pairs
π+π-γ[t,aa] (1.79±0.05) × 10-3206
π+π-e+e-(4.79±0.15) × 10-5206
π0γγ[aa] (4.9 ± 1.8) × 10-8230
γγ(2.63±0.17) × 10-6S=3.0249
Semileptonic modes
π±e&mpart;νe[bb] (7.04±0.08) × 10-4229
CP violating (CP) and ΔS = 1 weak neutral current (S1) modes
0CP < 2.6 × 10-8CL=90%139
μ+μ-S1 < 8 × 10-10CL=90%225
e+e-S1 < 9 × 10-9CL=90%249
π0e+e-S1 [aa] (3.0 +1.5-1.2) × 10-9230
π0μ+μ-S1 (2.9 +1.5-1.2) × 10-9177
+ +$$ +I(J^P) = \frac{1}{2}(0^{-}) +$$ + +$m_{K_L} - m_{K_S}$ + +$$ +\begin{align*} +&= (0.5293 \pm 0.0009) \times 10^{10} \, \hbar \, \text{s}^{-1} && (\text{S} = 1.3) \quad \text{Assuming CPT} \\ +&= (3.484 \pm 0.006) \times 10^{-12} \, \text{MeV} && \text{Assuming CPT} \\ +&= (0.5289 \pm 0.0010) \times 10^{10} \, \hbar \, \text{s}^{-1} && \text{Not assuming CPT} +\end{align*} +$$ + +Mean life $\tau = (5.116 \pm 0.021) \times 10^{-8}$ s ($S = 1.1$) + +$c\tau = 15.34 \text{ m}$ + +**Slope parameters** $^{[q]}$ + +(See Particle Listings for other linear and quadratic coefficients) + +$$ +\begin{align*} +K_L^0 &\rightarrow \pi^+\pi^-\pi^0: g = 0.678 \pm 0.008 && (S = 1.5) \\ +K_L^b &\rightarrow \pi^+\pi^-\pi^0: h = 0.076 \pm 0.006 \\ +K_L^c &\rightarrow \pi^+\pi^-\pi^0: k = 0.0099 \pm 0.0015 \\ +K_L^d &\rightarrow \pi^0\pi^0\pi^0: h = (0.6 \pm 1.2) \times 10^{-3} +\end{align*} +$$ + +$K_L$ decay form factors [r] + +Linear parametrization assuming $\mu-e$ universality + +$$ +\lambda_+(K_{\mu 3}^0) = \lambda_+(K_{e3}^0) = (2.82 \pm 0.04) \times 10^{-2} \quad (\text{S} = 1.1) +$$ + +$$ +\lambda_0(K_{\mu 3}^0) = (1.38 \pm 0.18) \times 10^{-2} \quad (\text{S} = 2.2) +$$ +---PAGE_BREAK--- + +### Quadratic parametrization assuming $\mu$-e universality + +$$ \lambda'_+(\mathcal{K}_{\mu 3}^0) = \lambda'_+(\mathcal{K}_{e3}^0) = (2.40 \pm 0.12) \times 10^{-2} \quad (\text{S} = 1.2) $$ + +$$ \lambda''_+(\mathcal{K}_{\mu 3}^0) = \lambda''_+(\mathcal{K}_{e3}^0) = (0.20 \pm 0.05) \times 10^{-2} \quad (\text{S} = 1.2) $$ + +$$ \lambda_0(\mathcal{K}_{\mu 3}^0) = (1.16 \pm 0.09) \times 10^{-2} \quad (\text{S} = 1.2) $$ + +### Pole parametrization assuming $\mu$-e universality + +$$ M_V^\mu(\mathcal{K}_{\mu 3}^0) = M_V^e(\mathcal{K}_{e3}^0) = 878 \pm 6 \text{ MeV} \quad (\text{S} = 1.1) $$ + +$$ M_S^\mu(\mathcal{K}_{\mu 3}^0) = 1252 \pm 90 \text{ MeV} \quad (\text{S} = 2.6) $$ + +### Dispersive parametrization assuming $\mu$-e universality + +$$ \Lambda_+ = (2.51 \pm 0.06) \times 10^{-2} \quad (\text{S} = 1.5) $$ + +$$ \ln(C) = (1.75 \pm 0.18) \times 10^{-1} \quad (\text{S} = 2.0) $$ + +$$ K_{e3}^{0} |f_{5}/f_{+}| = (1.5^{+1.4}_{-1.6}) \times 10^{-2} $$ + +$$ K_{e3}^{0} |f_{T}/f_{+}| = (5^{+4}_{-5}) \times 10^{-2} $$ + +$$ K_{\mu 3}^{0} |f_{T}/f_{+}| = (12 \pm 12) \times 10^{-2} $$ + +$$ K_L \rightarrow \ell^+\ell^-\gamma, K_L \rightarrow \ell^+\ell^-\ell'^+\ell'^- : \alpha_{K^*} = -0.205 \pm 0.022 \quad (\text{S} = 1.8) $$ + +$$ K_L^0 \rightarrow \ell^+\ell^-\gamma, K_L^0 \rightarrow \ell^+\ell^-\ell'^+\ell'^- : \alpha_{DIP} = -1.69 \pm 0.08 \quad (\text{S} = 1.7) $$ + +$$ K_L \rightarrow \pi^+\pi^- e^+e^- : a_1/a_2 = -0.737 \pm 0.014 \text{ GeV}^2 $$ + +$$ K_L \rightarrow \pi^0 2\gamma: \quad a_V = -0.43 \pm 0.06 \quad (\text{S} = 1.5) $$ + +### CP-violation parameters [z] + +$$ A_L = (0.332 \pm 0.006)\% $$ + +$$ |\eta_{00}| = (2.220 \pm 0.011) \times 10^{-3} \quad (\text{S} = 1.8) $$ + +$$ |\eta_{+-}| = (2.232 \pm 0.011) \times 10^{-3} \quad (\text{S} = 1.8) $$ + +$$ |\epsilon| = (2.228 \pm 0.011) \times 10^{-3} \quad (\text{S} = 1.8) $$ + +$$ |\eta_{00}/\eta_{+-}| = 0.9950 \pm 0.0007 \quad [\text{cc}] \quad (\text{S} = 1.6) $$ + +$$ \mathrm{Re}(\epsilon'/\epsilon) = (1.66 \pm 0.23) \times 10^{-3} \quad [\mathrm{cc}] \quad (\text{S} = 1.6) $$ + +### Assuming CPT + +$$ \phi_{+-} = (43.51 \pm 0.05)^{\circ} \quad (\text{S} = 1.2) $$ + +$$ \phi_{00} = (43.52 \pm 0.05)^{\circ} \quad (\text{S} = 1.3) $$ + +$$ \phi_e = \phi_{SW} = (43.52 \pm 0.05)^{\circ} \quad (\text{S} = 1.2) $$ + +$$ \mathrm{Im}(\epsilon'/\epsilon) = -(a_{00} - a_{+-})/3 = (-0.002 \pm 0.005)^{\circ} \quad (\text{S} = 1.7) $$ + +### Not assuming CPT + +$$ \phi_{+-} = (43.4 \pm 0.5)^{\circ} \quad (\text{S} = 1.2) $$ + +$$ a_{\phi(5)} = (43.7 \pm 0.6)^{\circ} \quad (\text{S} = 1.2) $$ + +$$ a_e = (43.5 \pm 0.5)^{\circ} \quad (\text{S} = 1.3) $$ + +### CP asymmetry A in $K_L^0$ +$\pi^+\pi^- e^+e^- = (13.7 \pm 1.5)\%$ + +$$ \beta_{CP} \text{ from } K_L^0 \rightarrow e^+e^- e^+e^- = -0.19 \pm 0.07 $$ + +$$ \gamma_{CP} \text{ from } K_L^L \rightarrow e^+e^- e^+e^- = 0.01 \pm 0.11 \quad (\text{S} = 1.6) $$ + +### j for $K_L^L$ +$\pi^+\pi^-\pi^0 = 0.0012 \pm 0.0008$ + +### f for $K_L^L$ +$\pi^+\pi^-\pi^0 = 0.004 \pm 0.006$ + +$$ |\eta_{+-\gamma}| = (2.35 \pm 0.07) \times 10^{-3} $$ + +$$ \phi_{+-\gamma} = (44 \pm 4)^{\circ} $$ +---PAGE_BREAK--- + +$$ +\begin{gather*} +|\epsilon'_{+-\gamma}|/\epsilon < 0.3, \text{ CL} = 90\% \\ +|g_{E1}| \text{ for } K_L^0 \rightarrow \pi^+\pi^-\gamma < 0.21, \text{ CL} = 90\% +\end{gather*} +$$ + +**T-violation parameters** + +$$ +\operatorname{Im}(\xi) \text{ in } K_{\mu 3}^{0}=-0.007 \pm 0.026 +$$ + +CPT invariance tests + +$$ +\phi_{00} - \phi_{+-} = (0.34 \pm 0.32)^{\circ} \\ +\mathrm{Re}(\frac{2}{3}\eta_{+-} + \frac{1}{3}\eta_{00}) - \frac{\Delta\mu}{2} = (-3 \pm 35) \times 10^{-6} +$$ + +$\Delta S = -\Delta Q$ in $K_{e3}^0$ decay + +$$ +\begin{align*} +\operatorname{Re} x &= -0.002 \pm 0.006 \\ +\operatorname{Im} x &= 0.0012 \pm 0.0021 +\end{align*} +$$ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K0L DECAY MODESFraction (Γf/Γ)Scale factor/ pConfidence level (MeV/c)
Semileptonic modes
π±eνe
Called K0e3.
[bb] (40.55 ± 0.11 ) %S=1.7229
π±μνμ
Called K0μ3.
[bb] (27.04 ± 0.07 ) %S=1.1216
(πμatom)ν
π0π±eν
π±eνe+e-
( 1.05 ± 0.11 ) × 10-7
[bb] ( 5.20 ± 0.11 ) × 10-5
[bb] ( 1.26 ± 0.04 ) × 10-5
188
207
229
Hadronic modes, including Charge conjugation × Parity Violating (CPV) modes
0(19.52 ± 0.12 ) %S=1.6139
π+π-π0(12.54 ± 0.05 ) %133
π+π-CPV [dd] ( 1.967±0.010 ) × 10-3S=1.5206
π0π0CPV ( 8.64 ± 0.06 ) × 10-4S=1.8209
Semileptonic modes with photons
π±eνeγ
π±μνμγ
[t,bb,ee] ( 3.79 ± 0.06 ) × 10-3
( 5.65 ± 0.23 ) × 10-4
229
216
Hadronic modes with photons or lℓ pairs
π0π0γ
π+π-γ
π+π-γ(DE)
π0
π0γe+e-
< 2.43 × 10-7
[t,ee] ( 4.15 ± 0.15 ) × 10-5
( 2.84 ± 0.11 ) × 10-5
[ee] ( 1.273±0.033 ) × 10-6
( 1.62 ± 0.17 ) × 10-8
CL=90%
S=2.8
S=2.0
S=2.0
S=1.1
209
206
206
230
230
249
249
249
225
225
Other modes with photons or lℓ pairs


e+e-γ
μ+μ-γ
e+e-γγ
μ+μ-γγ
( 5.47 ± 0.04 ) × 10-4
< 7.4 × 10-8
( 9.4 ± 0.4 ) × 10-6
( 3.59 ± 0.11 ) × 10-7
[ee] ( 5.95 ± 0.33 ) × 10-7
[ee] ( 1.0 +0.8 -0.6 ) × 10-8
S=1.1
CL=90%
S=2.0
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3
S=1.3

( 6.84 ± 0.11 ) × 10-9
( +6 -4 ) × 10-12
( 9 +6 -4 ) × 10-7
249






























































Charge conjugation × Parity (CP) or Lepton Family number (LF)
violating modes, or D S = 1 weak neutral current (SI) modes
μ+μ-
e+e-
π+π-e+e-
SI ( ( +6 -4 ) × 10-9
( +6 -4 ) × 10-7
( +6 -4 ) × 10-7)
( ( 6.84 ± 0.11 ) × 10-9
( +6 -4 ) × 10-7
( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7)
( ( +6 -4 ) × 10-7 SI is a weakly charged lepton.
225
SI is a weakly charged lepton.
\n249
\n225
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\nSI is a weakly charged lepton.
\n\\textbf{Note: SI's are usually chargeless particles, so their charge should be zero in these cases and not appear in the table above as 'chargeless' or 'zero charge'.
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
π0π0 e+e-S1< 6.6× 10-9CL=90%209
π0π0 μ+μ-S1< 9.2× 10-11CL=90%57
μ+μ- e+e-S1( 2.69 ±0.27 )× 10-9225
e+e- e+e-S1( 3.56 ±0.21 )× 10-8249
π0 μ+μ-CP,S1 [π-]< 3.8× 10-10CL=90%177
π0 e+e-CP,S1 [π-]< 2.8× 10-10CL=90%230
π0νν̄CP,S1 [gg]< 3.0× 10-9CL=90%230
π0π0ν̄ν̄S1< 8.1× 10-7CL=90%209
e±μLF [bb]< 4.7× 10-12CL=90%238
e±e±μμLF [bb]< 4.12× 10-11CL=90%225
π0μ±eLF [bb]< 7.6× 10-11CL=90%217
π0π0 μ±eLF< 1.7× 10-10CL=90%159
+ +$K_0^*(700)$ + +$$ +I(J^P) = \frac{1}{2}(0^+) +$$ + +also known as κ; was $K_0^*(800)$ + +Mass (T-Matrix Pole $\sqrt{s}$) = (630–730) – i (260–340) MeV + +Mass (Breit-Wigner) = 824 ± 30 MeV + +Full width (Breit-Wigner) = 478 ± 50 MeV + +
K⁰(700) DECAY MODESFraction (Γᵢ/Γ)p (MeV/c)
100 %240
+ +$K^*(892)$ + +$$ +I(J^P) = \frac{1}{2}(1^-) +$$ + +$K^*(892)^{\pm}$ hadroproduced mass $m = 891.66 \pm 0.26$ MeV + +$K^*(892)^{\pm}$ in $\tau$ decays mass $m = 895.5 \pm 0.8$ MeV + +$K^*(892)^{0}$ mass $m = 895.55 \pm 0.20$ MeV (S = 1.7) + +$K^*(892)^{\pm}$ hadroproduced full width $\Gamma = 50.8 \pm 0.9$ MeV + +$K^*(892)^{\pm}$ in $\tau$ decays full width $\Gamma = 46.2 \pm 1.3$ MeV + +$K^*(892)^{0}$ full width $\Gamma = 47.3 \pm 0.5$ MeV (S = 1.9) + +
K*(892) DECAY MODESFraction (Γᵢ/Γ)Confidence levelp
(MeV/c)
~ 100 %289
K⁰γ( 2.46±0.21 ) × 10⁻³307
K∓γ( 9.9 ±0.9 ) × 10⁻⁴309
Kππ< 7 × 10⁻⁴95%223
+ +$K_1(1270)$ + +$$ +I(J^P) = \frac{1}{2}(1^+) +$$ + +Mass $m = 1253 \pm 7$ MeV [$\not{J}$] (S = 2.2) + +Full width $\Gamma = 90 \pm 20$ MeV [$\not{J}$] + +
K₁(1270) DECAY MODESFraction (Γᵢ/Γ)p (MeV/c)
(42 ±6)%
K₀*(1430)π(28 ±4)%
K*(892)π(16 ±5)%‡†
(11.0±2.0)%††
Kf₀(1370)(3.0±2.0)%††
+ +See Particle Listings for 1 decay modes that have been seen / not seen. +---PAGE_BREAK--- + +### $K_1(1400)$ + +$$I(J^P) = \frac{1}{2}(1^+)$$ + +Mass $m = 1403 \pm 7$ MeV +Full width $\Gamma = 174 \pm 13$ MeV (S = 1.6) + +
K1(1400) DECAY MODESFraction (Γf/Γ)p (MeV/c)
K*(892) π(94 ±6) %402
(3.0±3.0) %293
Kf0(1370)(2.0±2.0) %
(1.0±1.0) %284
+ +See Particle Listings for 2 decay modes that have been seen / not seen. + +### $K^*(1410)$ + +$$I(J^P) = \frac{1}{2}(1^-)$$ + +Mass $m = 1414 \pm 15$ MeV (S = 1.3) +Full width $\Gamma = 232 \pm 21$ MeV (S = 1.1) + +
K*(1410) DECAY MODESFraction (Γf/Γ)Confidence levelp (MeV/c)
K*(892) π> 40 %95%410
(6.6±1.3) %612
< 7 %95%305
γK0< 2.3 × 10-490%619
+ +### $K_0^*(1430)^{[hh]}$ + +$$I(J^P) = \frac{1}{2}(0^+)$$ + +Mass $m = 1425 \pm 50$ MeV +Full width $\Gamma = 270 \pm 80$ MeV + +
K0* (1430) DECAY MODESFraction (Γf/Γ)p (MeV/c)
(93 ±10)%619
(8.6+/3.4)%486
+ +See Particle Listings for 1 decay mode that has been seen / not seen. + +### $K_2^*(1430)$ + +$$I(J^P) = \frac{1}{2}(2^+)$$ + +$K_2^*(1430)^{\pm}$ mass $m = 1427.3 \pm 1.5$ MeV (S = 1.3) +$K_2^*(1430)^{0}$ mass $m = 1432.4 \pm 1.3$ MeV +$K_2^*(1430)^{\pm}$ full width $\Gamma = 100.0 \pm 2.1$ MeV +$K_2^*(1430)^{0}$ full width $\Gamma = 109 \pm 5$ MeV (S = 1.9) + +
K2* (1430) DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
(49.9±1.2) %620
K*(892) π(24.7±1.5) %420
K*(892) ππ(13.4±2.2) %373
(8.7±0.8) %S=1.2320
(2.9±0.8) %313
K+γ(2.4±0.5) × 10-3S=1.1628
(1.5+3.4/1.0) × 10-3S=1.3488
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + +
Kωπ< 7.2× 10-4CL=95%106
K0γ< 9× 10-4CL=90%627
+ +$$ +\begin{array}{l} +K^*(1680) \\ +\quad \text{Mass } m = 1718 \pm 18 \text{ MeV} \\ +\quad \text{Full width } \Gamma = 322 \pm 110 \text{ MeV (S = 4.2)} +\end{array} +$$ + +$$ +I(J^P) = \frac{1}{2}(1^{-}) +$$ + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ K*(1680) DECAY MODES + + Fraction (Γ + + f + + /Γ) + + p (MeV/c) +
+ Kπ + + (38.7±2.5) % + + 782 +
+ Kρ + + (31.4 + + +5.0 + + + −2.1 + + ) % + + 571 +
+ K*(892)π + + (29.9 + + +2.2 + + + −5.0 + + ) % + + 618 +
+ +See Particle Listings for 1 decay modes that have been seen / not seen. + +$$ +\begin{array}{l} +K_2(1770) [ii] \\ +\quad \text{Mass } m = 1773 \pm 8 \text{ MeV} \\ +\quad \text{Full width } \Gamma = 186 \pm 14 \text{ MeV} +\end{array} +$$ + +$$ +I(J^P) = \frac{1}{2}(2^{-}) +$$ + + + + + + + + + + + + + + + + + + + +
+ K2(1770) DECAY MODES + + Fraction (Γf/Γ) + + p (MeV/c) +
+ Kππ + + + 794 +
+ See Particle Listings for 5 decay modes that have been seen / not seen. +
+ +$$ +\begin{array}{l} +K_3^*(1780) \\ +\quad \text{Mass } m = 1776 \pm 7 \text{ MeV (S = 1.1)} \\ +\quad \text{Full width } \Gamma = 159 \pm 21 \text{ MeV (S = 1.3)} +\end{array} +$$ + +$$ +I(J^P) = \frac{1}{2}(3^{-}) +$$ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K3*(1780) DECAY MODESFraction (Γf/Γ)Confidence levelp (MeV/c)
Kρ(31 ± 9 ) %613
K* (892) π(20 ± 5 ) %656
Kπ(18.8± 1.0 ) %813
Kη(30 ±13 ) %719
K*2(1430) π< 16 %95%290
+ +$$ +K_2(1820) [Jl] +\qquad I(J^P) = \frac{1}{2}(2^{-}) +$$ + +$$ +\begin{array}{l} +\text{Mass } m = 1819 \pm 12 \text{ MeV} \\ +\text{Full width } \Gamma = 264 \pm 34 \text{ MeV} +\end{array} +$$ + +$$ +K_4^*(2045) \\ +I(J^P) = \frac{1}{2}(4^{+}) +$$ + +$$ +\begin{array}{l} +\text{Mass } m = 2048_{-9}^{+8} \text{ MeV (S = 1.1)} \\ +\text{Full width } \Gamma = 199_{-19}^{+27} \text{ MeV} +\end{array} +$$ + + + + + + + + + + + + + + + + + + + + + +
K*4(2045) DECAY MODESFraction (Γf/Γ)p (MeV/c)
(9.9±1.2) %960
K*(892)π��(9 ±5 ) %804
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ K*(892) πππ + + (7 ±5 ) % + + 770 +
+ ρKπ + + (5.7±3.2) % + + 744 +
+ ωKπ + + (5.0±3.0) % + + 740 +
+ φKπ + + (2.8±1.4) % + + 597 +
+ φK*(892) + + (1.4±0.7) % + + 368 +
+ +CHARMED MESONS + +(C = ±1) + +$D^+ = c\bar{d}, D^0 = c\bar{u}, \bar{D}^0 = \bar{c}u, D^- = \bar{c}d,$ + +similarly for D*'s + +$$ +D^{\pm} \qquad I(J^{P}) = \frac{1}{2}(0^{-}) +$$ + +Mass $m = 1869.65 \pm 0.05$ MeV + +Mean life $\tau = (1040 \pm 7) \times 10^{-15}$ s + +$c\tau = 311.8~\mu m$ + +c-quark decays + +$$ +\Gamma(c \rightarrow \ell^{+} anything)/\Gamma(c \rightarrow anything) = 0.096 \pm 0.004 [kk] +$$ + +$$ +\Gamma(c \rightarrow D^{*}(2010)^{+} anything)/\Gamma(c \rightarrow anything) = 0.255 \pm 0.017 +$$ + +CP-violation decay-rate asymmetries + +$$ +A_{CP}(\mu^{\pm}\nu) = (8 \pm 8)\% +$$ + +$$ +A_{CP}(K_L^0 e^{\pm}\nu) = (-0.6 \pm 1.6)\% +$$ + +$$ +A_{CP}(K_S^0 \pi^{\pm}) = (-0.41 \pm 0.09)\% +$$ + +$$ +A_{CP}(K_L^0 K^{\pm}) \text{ in } D^{\pm} \rightarrow K_L^0 K^{\pm} = (-4.2 \pm 3.4) \times 10^{-2} +$$ + +$$ +A_{CP}(K^{\mp}2\pi^{\pm}) = (-0.18 \pm 0.16)\% +$$ + +$A_{CP}(K^{\mp}\pi^{\pm}\pi^0) = (-0.3 \pm 0.7)\%$ + +$A_{CP}(K_0^0 \pi^{\pm} \pi^0) = (-0.1 \pm 0.7)\%$ + +$A_{CP}(K_5^0 \pi^{\pm} \pi^+ \pi^-) = (0.0 \pm 1.2)\%$ + +$A_{CP}(\pi^{\pm}\pi^0) = (2.4 \pm 1.2)\%$ + +$A_{CP}(\pi^{\pm}\eta) = (1.0 \pm 1.5)\% \ (S = 1.4)$ + +$A_{CP}(\pi^{\pm}\eta'(958)) = (-0.6 \pm 0.7)\%$ + +$A_{CP}(K_0^0/K^0 K^{\pm}) = (0.11 \pm 0.17)\%$ + +$A_{CP}(K_5^0 K^\pm) = (-0.01 \pm 0.07)\%$ + +$A_{CP}(K_S^0 K^\pm \pi^0) \text{ in } D^\pm \to K_S^0 K^\pm \pi^0 = (1 \pm 4) \times 10^{-2}$ + +$A_{CP}(K_5^0 K^\pm \pi^0) \text{ in } D^\pm \to K_5^0 K^\pm \pi^0 = (-1 \pm 4) \times 10^{-2}$ + +$A_{CP}(K^+ K^- \pi^+) = (0.37 \pm 0.29)\%$ + +$A_{CP}(K^+ K^{*0}) = (-0.3 \pm 0.4)\%$ + +$A_{CP}(\phi\pi^\pm) = (0.01 \pm 0.09)\% \ (S = 1.8)$ + +$A_{CP}(K^\pm K_0^\ast(1430)^0) = (8^{+7}_{-6})\%$ + +$A_{CP}(K^\pm K_2^\ast(1430)^0) = (43^{+20}_{-26})\%$ + +$A_{CP}(K^\pm K_0^\ast(700)) = (-12^{+18}_{-13})\%$ + +$A_{CP}(a_0(1450)^0\pi^\pm) = (-19^{+14}_{-16})\%$ + +$A_{CP}(\phi(1680)\pi^\pm) = (-9 \pm 26)\%$ + +$A_{CP}(\pi^+\pi^-\pi^\pm) = (-2 \pm 4)\%$ + +$A_{CP}(K_5^0 K^\pm \pi^+ \pi^-) = (-4 \pm 7)\%$ + +$A_{CP}(K^\pm \pi^0) = (-4 \pm 11)\%$ + +$\chi^2$ tests of CP-violation (CPV) + +Local CPV in $D^\pm \to \pi^+\pi^-\pi^\pm = 78.1\%$ + +Local CPV in $D^\pm \to K^+K^-\pi^\pm = 31\%$ +---PAGE_BREAK--- + +CP violating asymmetries of P-odd (T-odd) moments + +$$A_T(K_S^0 K^\pm \pi^+ \pi^-) = (-12 \pm 11) \times 10^{-3} [M]$$ + +D⁺ form factors + +$$f_+(0)|V_{cs}| \text{ in } \bar{K}^0 \ell^+ \nu_\ell = 0.719 \pm 0.011 \quad (\text{S} = 1.6)$$ + +$$r_1 \equiv a_1/a_0 \text{ in } \bar{K}^0 \ell^+ \nu_\ell = -2.13 \pm 0.14$$ + +$$r_2 \equiv a_2/a_0 \text{ in } \bar{K}^0 \ell^+ \nu_\ell = -3 \pm 12 \quad (\text{S} = 1.5)$$ + +$$f_+(0)|V_{cd}| \text{ in } \pi^0 \ell^+ \nu_\ell = 0.1407 \pm 0.0025$$ + +$$r_1 \equiv a_1/a_0 \text{ in } \pi^0 \ell^+ \nu_\ell = -2.00 \pm 0.13$$ + +$$r_2 \equiv a_2/a_0 \text{ in } \pi^0 \ell^+ \nu_\ell = -4 \pm 5$$ + +$$f_+(0)|V_{cd}| \text{ in } D^+ \to \eta e^+ \nu_e = (8.3 \pm 0.5) \times 10^{-2}$$ + +$$r_1 \equiv a_1/a_0 \text{ in } D^+ \to \eta e^+ \nu_e = -5.3 \pm 2.7 \quad (\text{S} = 1.9)$$ + +$$r_v \equiv V(0)/A_1(0) \text{ in } D^+ \to \omega e^+ \nu_e = 1.24 \pm 0.11$$ + +$$r_2 \equiv A_2(0)/A_1(0) \text{ in } D^+ \to \omega e^+ \nu_e = 1.06 \pm 0.16$$ + +$$r_v \equiv V(0)/A_1(0) \text{ in } D^+, D^0 \to \rho e^+ \nu_e = 1.64 \pm 0.10 \quad (\text{S} = 1.2)$$ + +$$r_2 \equiv A_2(0)/A_1(0) \text{ in } D^+, D^0 \to \rho e^+ \nu_e = 0.84 \pm 0.06$$ + +$$r_v \equiv V(0)/A_1(0) \text{ in } K^*(892)^0 \ell^+ \nu_\ell = 1.49 \pm 0.05 \quad (\text{S} = 2.1)$$ + +$$r_2 \equiv A_2(0)/A_1(0) \text{ in } K^*(892)^0 \ell^+ \nu_\ell = 0.802 \pm 0.021$$ + +$$r_3 \equiv A_3(0)/A_1(0) \text{ in } K^*(892)^0 \ell^+ \nu_\ell = 0.04$$ + +$$\Gamma_L/\Gamma_T \text{ in } K^*(892)^0 \ell^+ \nu_\ell = 1.13 \pm 0.08$$ + +$$\Gamma_+/(\Gamma_-) \text{ in } K^*(892)^0 \ell^+ \nu_\ell = 0.22 \pm 0.06 \quad (\text{S} = 1.6)$$ + +Most decay modes (other than the semileptonic modes) that involve a neutral K meson are now given as $K_S^0$ modes, not as $\bar{K}^0$ modes. Nearly always it is a $K_S^0$ that is measured, and interference between Cabibbo-allowed and doubly Cabibbo-suppressed modes can invalidate the assumption that $2\Gamma(K_S^0) = \Gamma(\bar{K}^0)$. + +
D+ DECAY MODESFraction (Γj/Γ)Scale factor / Confidence levelρ
Inclusive modes
e+ semileptonic(16.07 ± 0.30 )%-
μ+ anything(17.6 ± 3.2 )%-
K- anything(25.7 ± 1.4 )%-
K0 anything + K0 anything(61 ± 5 )%-
K+ anything(5.9 ± 0.8 )%-
K*(892)- anything(6 ± 5 )%-
K*(892)0 anything(23 ± 5 )%-
K*(892)0 anything< 6.6 %CL=90%-
η anything(6.3 ± 0.7 )%-
η' anything(1.04 ± 0.18 )%-
φ anything(1.12 ± 0.04 )%-
Leptonic and semileptonic modes
e+ νe< 8.8 × 10-6CL=90%935
γe+νe< 3.0 × 10-5CL=90%935
μ+νμ(3.74 ± 0.17 ) × 10-4932
τ+ντ(1.20 ± 0.27 ) × 10-390
K0e+νe(8.73 ± 0.10 )%869
K0μ+νμ(8.76 ± 0.19 )%865
K-π+e+νe(4.02 ± 0.18 )%S=3.2864
K-π+                                                                               (892)0e+νe, K*(892)0 → K-π+               (892)0e+νe(3.77 ± 0.17 )%722
(K-π+)[0.8-1.0]GeV e+νe(3.39 ± 0.09 )%864
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
(K-π+)S-wave e+νe( 2.28 ± 0.11 ) × 10-3-
K*(1410)0 e+νe,< 6× 10-3 CL=90%-
K*(1410)0 → K-π+
2(1430)0 e+νe,< 5× 10-4 CL=90%-
K*2(1430)0 → K-π+
K-π+ e+νe nonresonant< 7× 10-3 CL=90%864
K*(892)0 e+νe( 5.40 ± 0.10 ) %S=1.1722
K-π+μ+νμ( 3.65 ± 0.34 ) %851
K*(892)0 μ+νμ,( 3.52 ± 0.10 ) %717
K*(892)0 → K-π+
K-π+μ+νμ nonresonant( 1.9 ± 0.5 ) × 10-3851
K*(892)0 μ+νμ( 5.27 ± 0.15 ) %717
K-π+π0μ+νμ< 1.5× 10-3 CL=90%825
1(1270)0 e+νe, K̅10( 1.06 ± 0.15 ) × 10-3-
K-π+π0
K*0(1430)0μ+νμ< 2.3× 10-4 CL=90%380
K*(1680)0 μ+νμ< 1.5× 10-3 CL=90%105
π0e+νe( 3.72 ± 0.17 ) × 10-3S=2.0930
π0μ+νμ( 3.50 ± 0.15 ) × 10-3927
ηe+νe( 1.11 ± 0.07 ) × 10-3855
π-π+e+νe( 2.45 ± 0.10 ) × 10-3924
f0(500)0e+νe, f0(500)0( 6.3 ± 0.5 ) × 10-4-
π±±
ρ0e+νe( 2.18 ± 0.17) × 10-3774
ρ0μ+νμ( 2.4 ± 0.4 ) × 10-3770
ωe+νe( 1.69 ± 0.11 ) × 10-3771
η'(958)e+νe( 2.0 ± 0.4 ) × 10-4690
a(980)0e+νe, a(980)0 → ηπ0( 1.7 ± 0.8) × 10-4-
φe+νe< 1.3× 10-5CL=90%
Hadronic modes with a K̄ or KK̄̄
KS0π+-( .562±.03 ) %S=.......................................................................................
+ + +---PAGE_BREAK--- + +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +---PAGE_BREAK--- + +
0(1680)0π+, K̅00 → KS0π0(10 ± 7 / -10) × 10-4-
π̅0π+, π̅0 → KS0π0(6 ± 5 / -4) × 10-3-
KS0π+π0 nonresonant(3 ± 4) × 10-3845
KS0π+π0 nonresonant and
π̅0π+
(1.37 ± 0.21 / -0.40) %-
(KS0π0)S-waveπ+(1.27 ± 0.27 / -0.33) %845
KS0π+η'(958)(1.90 ± 0.21) × 10-3481
K-+π0[pp] (6.25 ± 0.18) %816
KS0+π-[pp] (3.10 ± 0.09) %814
K-+π-[nn] (5.7 ± 0.5) × 10-3
(1.2 ± 0.4) × 10-3
S=1.1 772
645
K̂*(892)0+π-,
                                                                                                                   (2.3 ± 0.4) × 10-3
239
K̂*(892)0 → K-π+(9.3 ± 1.9) × 10-3
K̂*(892)0 → K-π+(1.72 ± 0.28) × 10-3524
K-+π- nonresonant(4.0 ± 2.9) × 10-4772
K+2KS0(2.54 ± 0.13) × 10-3545
K+K-KS0π+(2.4 ± 0.5) × 10-4436
Pionic modes
π+π0(1.247 ± 0.033) × 10-3925
+π-(3.27 ± 0.18) × 10-3909
ρ0π+(8.3 ± 1.5) × 10-4767
π+S-πS-)S-wave(1.83 ± 0.16) × 10-3909
σ̂̂, σ → π+π-(1.38 ± 0.12) × 10-3-
f0(980)πS+,
                (f0(980))S-wave
(1.56 ± 0.33) × 10-4669
f0(1370)πS+,
    (f0(1370))S-wave
(8 ± 4) × 10-5-
f2(1270)πS+,
    (f2(1270))S-wave
(5.0 ± 0.9) × 10-4485
ρ(1450)0πS+,
    (rho(1450))S-wave
< 8 × 10-5CL=95%
f0(1500)πS+,
    (f0(1500))S-wave
(1.1 ± 0.4) × 10-4-
f0(1710)πS+,
    (f0(1710))S-wave
< 5 × 10-5CL=95%
f0(1790)πS+,
    (f0(1790))S-wave
< 7 × 10-5CL=95%
S-πS-)S-waveπ-< 1.2 × 10-4CL=95%
Nonresonant modes with a KℬKℬ pair CL=95%
Hadronic modes with a KℬKℬ pair CL=95%
Nonresonant modes with a Kℬ
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
KS0K+π0( 5.07 ± 0.30 ) × 10-3744
KS0K+π0( 5.24 ± 0.31 ) × 10-3744
K+K-π+[nn] ( 9.68 ± 0.18 ) × 10-3744
φπ+( 5.70 ± 0.14 ) × 10-3647
φπ+, φ → K+K-( 2.69 + 0.07− 0.08 ) × 10-3647
K+K*(892)0,
        K*(892)0 → K-π+
( 2.49 + 0.08− 0.13 ) × 10-3613
K+K0*(1430)0,
        K0*(1430)0
            K-π+
( 1.82 ± 0.35 ) × 10-3-
K+K2*(1430)0,
        K2* → K-π+
( 1.6 + 1.2− 0.8 ) × 10-4-
K+K0*(700),
        K0* → K-π+
( 6.8 + 3.5− 2.1 ) × 10-4-
a0(1450)0π+,
        a0* → K+K-
( 4.5 + 7.0− 1.8 ) × 10-4-
φ(1680)π+, φ → K+K-( 4.9 + 4.0− 1.9 ) × 10-5-
KS0KS0π+( 2.70 ± 0.13 ) × 10-3741
KS+KS0π+π-( 1.74 ± 0.18 ) × 10-3678
KS0K-+( 2.38 ± 0.17 ) × 10-3678
KS+K-+π-( 2.3 ± 1.2 ) × 10-4601
A few poorly measured branching fractions:
φπ+π0( 2.3 ± 1.0 ) %CL=90%619
φρ+< 1.5 ± %
K+K-π+π0 non-φ( 1.5 + 0.7− 0.6 ) %682
K*(892)+KS0( 1.7 ± 0.8 ) %
Doubly Cabibbo-suppressed modes
KS+π0( 2.08 ± 0.21 ) × 10-4S=1.4864
KS+η( 1.25 ± 0.16 ) × 10-4S=1.1
KS+η'(958)( 1.85 ± 0.20 ) × 10-4776
571
846
679
714
KS+πs+πs-( 4.91 ± 0.09 ) × 10-4
KS*+ρ*
(892)**
π**
        KS*+π*
            KS*+ρ*
(f0(980), fs(980) → π**
            KS*+ρ*
(fs(980), fs⃝(980) → π**
            KS⃝*+ρ*
(fs⃝(980), fs⃝⃗(980) → π**
            KS⃝⃗*+ρ*
+ +$\Delta C = 1$ weak neutral current (C1) modes, or Lepton Family number (LF) or Lepton number (L) violating modes + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
$\pi^+ e^+ e^-$, $C_1$< 1.1$\times 10^{-6}$ CL=90%930
$\pi^+ \pi^0 e^+ e^-$, $C_1$< 1.4$\times 10^{-5}$ CL=90%925
$\pi^+ \phi, \phi \rightarrow e^+ e^-$, $[rr]$(1.7 $\pm$ 1.4)$\times 10^{-6}$ CL=90%-
$\pi^+ \mu^+ \mu^-$, $C_1$< 7.3$\times 10^{-8}$ CL=90%918
$\pi^+ \phi, \phi \rightarrow \mu^+ \mu^-$, $[rr]$(1.8 $\pm$ 0.8)$\times 10^{-6}$ CL=90%-
$\rho^+ \mu^+ \mu^-$, $C_1$< 5.6$\times 10^{-4}$ CL=90%757
$K^+ e^+ e^-$, $[ss]$< 1.0$\times 10^{-6}$ CL=90%870
$K^+ \pi^0 e^+ e^-$, $[ss]$< 1.5$\times 10^{-5}$ CL=90%864
$K_S^0 \pi^+ e^+ e^-$, $[ss]$< 2.6$\times 10^{-5}$ CL=90%-
+ + +
KS⃝K⃝*K⃝(892)*K⃝*K⃝(5.77 ± 0.12)×1e-5 CL=90%
KS⃝K⃝*K⃝(1430)*K⃝*K⃝(4.4 ± 2.6)×1e-5 CL=90%
KS⃝K⃝(700), K⃝*K⃝(3.9 ± 2.7)×1e-5 CL=90%
+ + +
KS⃝K⃝*K⃝(892)*K⃝(2.70 ± 0.13)×1e-3 CL=90%
KS⃝K⃝*K⃝(1430)*K⃝(1.74 ± 0.18)×1e-3 CL=90%
KS⃝K⃝*K⃝(70)(6.8 ± 3.5)×1e-4 CL=90%
+ + + +
Branching fraction / Process / Notation / Unit / Sign / Precision / Range / Reference / Source / Notes / Example / Limitations / Implications / Other Information / Source / References / etc.Value / Precision / Range / etc.
φπ⁺π⁺π⁺ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ ��� K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K⁺K⁻ → K++S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-Wave to S-WAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAVE TO SWAYAGE + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K0S K+ e+ e-< 1.1× 10-5CL=90%-
K+ μ+ μ-[ss] < 4.3× 10-6CL=90%856
π+ e+ μ-LF< 2.9× 10-6CL=90%927
π+ e- μ+LF< 3.6× 10-6CL=90%927
K+ e+ μ-LF< 1.2× 10-6CL=90%866
K+ e- μ+LF< 2.8× 10-6CL=90%866
π- 2e+L< 1.1× 10-6CL=90%930
π-+L< 2.2× 10-8CL=90%918
π- e+ μ+L< 2.0× 10-6CL=90%927
ρ-+L< 5.6× 10-4CL=90%757
K- 2e+L< 9× 10-7CL=90%870
K0S π- 2e+< 3.3× 10-6CL=90%863
K- π0 2e+< 8.5× 10-6CL=90%864
K-+L< 1.0× 10-5CL=90%856
K- e+ μ+L< 1.9× 10-6CL=90%866
K* (892)-+L< 8.5× 10-4CL=90%703
+ +See Particle Listings for 2 decay modes that have been seen / not seen. + +$$ +\begin{array}{l} +I(J^P) = \frac{1}{2}(0^{-}) \\ +\\ +\text{Mass } m = 1864.83 \pm 0.05 \text{ MeV} \\ +m_{D^{\pm}} - m_{D^{0}} = 4.822 \pm 0.015 \text{ MeV} \\ +\text{Mean life } \tau = (410.1 \pm 1.5) \times 10^{-15} \text{ s} \\ +c\tau = 122.9 \, \mu\text{m} +\end{array} +$$ + +### Mixing and related parameters + +$$ +|m_{D_1^0} - m_{D_2^0}| = (0.95^{+0.41}_{-0.44}) \times 10^{10} \, \hbar \, s^{-1} +$$ + +$$ +(\Gamma_{D_1^0} - \Gamma_{D_2^0})/\Gamma = 2y = (1.29^{+0.14}_{-0.18}) \times 10^{-2} +$$ + +$$ +|q/p| = 0.92^{+0.12}_{-0.09} +$$ + +$$ +A_{\Gamma} = (-0.125 \pm 0.526) \times 10^{-3} +$$ + +$$ +\phi^{K_S^0 \pi \pi} = -0.09^{+0.10}_{-0.13} +$$ + +$K^+ \pi^- $ relative strong phase: $\cos \delta = 0.97 \pm 0.11$ + +$K^- \pi^+ \pi^0$ coherence factor $R_{K\pi\pi^0} = 0.82 \pm 0.06$ + +$K^- \pi^+ \pi^0$ average relative strong phase $\delta^{K\pi\pi^0} = (199 \pm 14)^{\circ}$ + +$K^- \pi^- 2\pi^+$ coherence factor $R_{K3\pi} = 0.53^{+0.18}_{-0.21}$ + +$K^- \pi^- 2\pi^+$ average relative strong phase $\delta^{K3\pi} = (125^{+22}_{-14})^\circ$ + +$D^0 \rightarrow K^- \pi^- 2\pi^+, R_{K3\pi} (\text{y cos}\delta^{K3\pi} - \text{x sin}\delta^{K3\pi}) = (-3.0 \pm 0.7) \times 10^{-3} \text{ TeV}^{-1}$ + +$K_S^0 K^+ \pi^- $ coherence factor $R_{K_S^0 K\pi} = 0.70 \pm 0.08$ + +$K_S^0 K^+ \pi^-$ average relative strong phase $\delta^{K_S^0 K\pi} = (0 \pm 16)^\circ$ + +$K^* K$ coherence factor $R_{K^* K} = 0.94 \pm 0.12$ + +$K^* K$ average relative strong phase $\delta^{K^* K} = (-17 \pm 18)^\circ$ + +### CP-violation decay-rate asymmetries (labeled by the D⁰ decay) + +$$ +A_{CP}(K^{+} K^{-}) = (-0.07 \pm 0.11)\% +$$ + +$$ +A_{CP}(2K_S^0) = (0.4 \pm 1.4)\% +$$ + +$$ +A_{CP}(\pi^+ \pi^-) = (0.13 \pm 0.14)\% +$$ + +$A_{CP}(\pi^0 \pi^0) = (0.0 \pm 0.6)\%$ + +$$ +A_{CP}(\rho\gamma) = (6 \pm 15) \times 10^{-2} +$$ + +$$ +A_{CP}(\phi\gamma) = (-9 \pm 7) \times 10^{-2} +$$ + +$$ +A_{CP}(\overline{K^*}(892)^{0}\gamma) = (-0.3 \pm 2.0) \times 10^{-2} +$$ +---PAGE_BREAK--- + +$$A_{CP}(\pi^+\pi^-\pi^0) = (0.3 \pm 0.4)\%$$ + +$$A_{CP}(\rho(770)^+\pi^- \rightarrow \pi^+\pi^-\pi^0) = (1.2 \pm 0.9)\% \text{ [tt]}$$ + +$$A_{CP}(\rho(770)^0\pi^0 \rightarrow \pi^+\pi^-\pi^0) = (-3.1 \pm 3.0)\% \text{ [tt]}$$ + +$$A_{CP}(\rho(770)^-\pi^+ \rightarrow \pi^+\pi^-\pi^0) = (-1.0 \pm 1.7)\% \text{ [tt]}$$ + +$$A_{CP}(\rho(1450)^+\pi^- \rightarrow \pi^+\pi^-\pi^0) = (0 \pm 70)\% \text{ [tt]}$$ + +$$A_{CP}(\rho(1450)^0\pi^0 \rightarrow \pi^+\pi^-\pi^0) = (-20 \pm 40)\% \text{ [tt]}$$ + +$$A_{CP}(\rho(1450)^-\pi^+ \rightarrow \pi^+\pi^-\pi^0) = (6 \pm 9)\% \text{ [tt]}$$ + +$$A_{CP}(\rho(1700)^+\pi^- \rightarrow \pi^+\pi^-\pi^0) = (-5 \pm 14)\% \text{ [tt]}$$ + +$$A_{CP}(\rho(1700)^0\pi^0 \rightarrow \pi^+\pi^-\pi^0) = (13 \pm 9)\% \text{ [tt]}$$ + +$$A_{CP}(\rho(1700)^-\pi^+ \rightarrow \pi^+\pi^-\pi^0) = (8 \pm 11)\% \text{ [tt]}$$ + +$$A_{CP}(f_0(980)\pi^0 \rightarrow \pi^+\pi^-\pi^0) = (0 \pm 35)\% \text{ [tt]}$$ + +$$A_{CP}(f_0(1370)\pi^0 \rightarrow \pi^+\pi^-\pi^0) = (25 \pm 18)\% \text{ [tt]}$$ + +$$A_{CP}(f_0(1500)\pi^0 \rightarrow \pi^+\pi^-\pi^0) = (0 \pm 18)\% \text{ [tt]}$$ + +$$A_{CP}(f_0(1710)\pi^0 \rightarrow \pi^+\pi^-\pi^0) = (0 \pm 24)\% \text{ [tt]}$$ + +$$A_{CP}(f_2(1270)\pi^0 \rightarrow \pi^+\pi^-\pi^0) = (-4 \pm 6)\% \text{ [tt]}$$ + +$$A_{CP}(\sigma(400)\pi^0 \rightarrow \pi^+\pi^-\pi^0) = (6 \pm 8)\% \text{ [tt]}$$ + +$$A_{CP}(\text{nonresonant } \pi^+\pi^-\pi^0) = (-13 \pm 23)\% \text{ [tt]}$$ + +$$A_{CP}(a_1(1260)^+\pi^- \rightarrow 2\pi^+2\pi^-) = (5 \pm 6)\%$$ + +$$A_{CP}(a_1(1260)^-\pi^- \rightarrow 2\pi^+2\pi^-) = (14 \pm 18)\%$$ + +$$A_{CP}(\pi(1300)^+\pi^- \rightarrow 2\pi^+2\pi^-) = (-2 \pm 15)\%$$ + +$$A_{CP}(\pi(1300)^-\pi^- \rightarrow 2\pi^+2\pi^-) = (-6 \pm 30)\%$$ + +$$A_{CP}(a_1(1640)^+\pi^- \rightarrow 2\pi^+2\pi^-) = (9 \pm 26)\%$$ + +$$A_{CP}(\pi_2(1670)^+\pi^- \rightarrow 2\pi^+2\pi^-) = (7 \pm 18)\%$$ + +$$A_{CP}(\sigma f_0(1370) \rightarrow 2\pi^+2\pi^-) = (-15 \pm 19)\%$$ + +$$A_{CP}(\sigma\rho(770)^0 \rightarrow 2\pi^+2\pi^-) = (3 \pm 27)\%$$ + +$$A_{CP}(2\rho(770)^0 \rightarrow 2\pi^+2\pi^-) = (-6 \pm 6)\%$$ + +$$A_{CP}(2f_2(1270) \rightarrow 2\pi^+2\pi^-) = (-28 \pm 24)\%$$ + +$$A_{CP}(K^{+}K^{-}\pi^{0}) = (-1.0 \pm 1.7)\%$$ + +$$A_{CP}(K^{*}(892)^+K^- \rightarrow K^{+}K^{-}\pi^{0}) = (-0.9 \pm 1.3)\% \text{ [tt]}$$ + +$$A_{CP}(K^{*}(1410)^+K^- \rightarrow K^{+}K^{-}\pi^{0}) = (-21 \pm 24)\% \text{ [tt]}$$ + +$$A_{CP}((K^{+}\pi^{0})S_{-wave}K^{-} \rightarrow K^{+}K^{-}\pi^{0}) = (7 \pm 15)\% \text{ [tt]}$$ + +$$A_{CP}(\phi(1020)\pi^{0} \rightarrow K^{+}K^{-}\pi^{0}) = (1.1 \pm 2.2)\% \text{ [tt]}$$ + +$$A_{CP}(f_0(980)\pi^{0} \rightarrow K^{+}K^{-}\pi^{0}) = (-3 \pm 19)\% \text{ [tt]}$$ + +$$A_{CP}(a_0(980)^{0}\pi^{0} \rightarrow K^{+}K^{-}\pi^{0}) = (-5 \pm 16)\% \text{ [tt]}$$ + +$$A_{CP}(t'_2(1525)\pi^{0} \rightarrow K^{+}K^{-}\pi^{0}) = (0 \pm 160)\% \text{ [tt]}$$ + +$$A_{CP}(K^{*}(892)^-K^{+} \rightarrow K^{+}K^{-}\pi^{0}) = (-5 \pm 4)\% \text{ [tt]}$$ + +$$A_{CP}(K^{*}(1410)^-K^{+} \rightarrow K^{+}K^{-}\pi^{0}) = (-17 \pm 29)\% \text{ [tt]}$$ + +$$A_{CP}((K^{-}\pi^{0})S_{-wave}K^{+} \rightarrow K^{+}K^{-}\pi^{0}) = (-10 \pm 40)\% \text{ [tt]}$$ + +$$A_{CP}(K_S^{\oplus}\pi^0) = (-0.20 \pm 0.17)\%$$ + +$$A_{CP}(K_S^{\ominus}\eta) = (0.5 \pm 0.5)\%$$ + +$$A_{CP}(K_S^{\oplus}\eta') = (1.0 \pm 0.7)\%$$ + +$$A_{CP}(K_S^{\ominus}\phi) = (-3 \pm 9)\%$$ + +$$A_{CP}(K^{-}\pi^{+}) = (0.2 \pm 0.5)\%$$ + +$$A_{CP}(K^{+}\pi^{-}) = (-0.9 \pm 1.4)\%$$ + +$$A_{CP}(D_{CP}(\pm 1) \rightarrow K^{\mp}\pi^{\pm}) = (12.7 \pm 1.5)\%$$ + +$$A_{CP}(K^{-}\pi^{+}\pi^{0}) = (0.1 \pm 0.5)\%$$ + +$$A_{CP}(K^{+}\pi^{-}\pi^{0}) = (0 \pm 5)\%$$ + +$$A_{CP}(K_S^{\oplus}\pi^{+}\pi^{-}) = (-0.1 \pm 0.8)\%$$ + +$$A_{CP}(K^{*}(892)^{-}\pi^{+} \rightarrow K_S^{\oplus}\pi^{+}\pi^{-}) = (0.4 \pm 0.5)\%$$ + +$$A_{CP}(K^{*}(892)^{+}\pi^{-} \rightarrow K_S^{\oplus}\pi^{+}\pi^{-}) = (1 \pm 6)\%$$ + +$$A_{CP}(\bar{K}^{0}\rho^{0} \rightarrow K_S^{\oplus}\pi^{+}\pi^{-}) = (-0.1 \pm 0.5)\%$$ +---PAGE_BREAK--- + +$$A_{CP}(\bar{K}^0 \omega \rightarrow K_S^0 \pi^+ \pi^-) = (-13 \pm 7)\%$$ + +$$A_{CP}(\bar{K}^0 f_0(980) \rightarrow K_S^0 \pi^+ \pi^-) = (-0.4 \pm 2.7)\%$$ + +$$A_{CP}(\bar{K}^0 f_2(1270) \rightarrow K_S^0 \pi^+ \pi^-) = (-4 \pm 5)\%$$ + +$$A_{CP}(\bar{K}^0 f_0(1370) \rightarrow K_S^0 \pi^+ \pi^-) = (-1 \pm 9)\%$$ + +$$A_{CP}(\bar{K}^0 \rho^0(1450) \rightarrow K_S^0 \pi^+ \pi^-) = (-4 \pm 10)\%$$ + +$$A_{CP}(\bar{K}^0 f_0(600) \rightarrow K_S^0 \pi^+ \pi^-) = (-3 \pm 5)\%$$ + +$$A_{CP}(K^{*}(1410)^{-}\pi^{+} \rightarrow K_S^{0}\pi^{+}\pi^{-}) = (-2 \pm 9)\%$$ + +$$A_{CP}(K_0^*(1430)^{-}\pi^{+} \rightarrow K_S^0\pi^{+}\pi^{-}) = (4 \pm 4)\%$$ + +$$A_{CP}(K_0^*(1430)^{+}\pi^{-} \rightarrow K_S^0\pi^{+}\pi^{-}) = (12 \pm 15)\%$$ + +$$A_{CP}(K_2^*(1430)^{-}\pi^{+} \rightarrow K_S^0\pi^{+}\pi^{-}) = (3 \pm 6)\%$$ + +$$A_{CP}(K_2^*(1430)^{+}\pi^{-} \rightarrow K_S^0\pi^{+}\pi^{-}) = (-10 \pm 32)\%$$ + +$$A_{CP}(K^{-}\pi^{+}\pi^{+}\pi^{-}) = (0.2 \pm 0.5)\%$$ + +$$A_{CP}(K^{+}\pi^{-}\pi^{+}\pi^{-}) = (-2 \pm 4)\%$$ + +$$A_{CP}(K^{+}K^{-}\pi^{+}\pi^{-}) = (1.3 \pm 1.7)\%$$ + +$$A_{CP}(K_1^*(1270)^{+}K^{-} \rightarrow K^{+}K^{-}\pi^{+}\pi^{-}) = (-2.3 \pm 1.7)\%$$ + +$$A_{CP}(K_1^*(1270)^{+}K^{-} \rightarrow K^{*0}\pi^{+}K^{-}) = (-1 \pm 10)\%$$ + +$$A_{CP}(K_1^*(1270)^{-}K^{+} \rightarrow \bar{K}^{*0}\pi^{-}K^{+}) = (-10 \pm 32)\%$$ + +$$A_{CP}(K_1^*(1270)^{-}K^{+} \rightarrow K^{+}K^{-}\pi^{+}\pi^{-}) = (1.7 \pm 3.5)\%$$ + +$$A_{CP}(K_1^*(1270)^{+}K^{-} \rightarrow \rho^{0}K^{+}K^{-}) = (-7 \pm 17)\%$$ + +$$A_{CP}(K_1^*(1270)^{-}K^{+} \rightarrow \rho^{0}K^{-}K^{+}) = (10 \pm 13)\%$$ + +$$A_{CP}(K_1(1400)^{+}K^{-} \rightarrow K^{+}K^{-}\pi^{+}\pi^{-}) = (-4.4 \pm 2.1)\%$$ + +$$A_{CP}(K^{*}(1410)^{+}K^{-} \rightarrow K^{*0}\pi^{+}K^{-}) = (-20 \pm 17)\%$$ + +$$A_{CP}(K^{*}(1410)^{-}K^{+} \rightarrow \bar{K}^{*0}\pi^{-}K^{+}) = (-1 \pm 14)\%$$ + +$$A_{CP}(K^{*}(1680)^{+}K^{-} \rightarrow K^{+}K^{-}\pi^{+}\pi^{-}) = (-17 \pm 29)\%$$ + +$$A_{CP}(K^{*0}\bar{K}^{*0}) \text{ in } D^0, \bar{D}^0 \rightarrow K^{*0}\bar{K}^{*0} = (-5 \pm 14)\%$$ + +$$A_{CP}(K^{*0}\bar{K}^{*0}) \text{ S-wave}) = (-3.9 \pm 2.2)\%$$ + +$$A_{CP}(\phi\rho^0) \text{ in } D^0, \bar{D}^0 \rightarrow \phi\rho^0 = (1 \pm 9)\%$$ + +$$A_{CP}(\phi\rho^0) \text{ S-wave}) = (-3 \pm 5)\%$$ + +$$A_{CP}(\phi\rho^0) \text{ D-wave}) = (-37 \pm 19)\%$$ + +$$A_{CP}(\phi(\pi^{+}\pi^{-})S-wave) = (6 \pm 6)\%$$ + +$$A_{CP}(K^{*}(892)^{0}(K^{-}\pi^{+})S-wave) = (-10 \pm 40)\%$$ + +$$A_{CP}(K^{+}K^{-}\pi^{+}\pi^{-}\text{non-resonant}) = (8 \pm 20)\%$$ + +$$A_{CP}((K^{-}\pi^{+})P-wave)(K^{+}\pi^{-})S-wave) = (3 \pm 11)\%$$ + +$$A_{CP}(K^{+}K^{-}\mu^{+}\mu^{-}) \text{ in } D^0, \bar{D}^0 \rightarrow K^{+}K^{-}\mu^{+}\mu^{-} = (0 \pm 11)\%$$ + +$$A_{CP}(\pi^{+}\mu^{-}\mu^{+}\mu^{-}) \text{ in } D^0, \bar{D}^0 \rightarrow \pi^{+}\pi^{-}\mu^{+}\mu^{-} = (5 \pm 4)\%$$ + +### CP-even fractions (labeled by the $D^0$ decay) + +CP-even fraction in $D^0 \rightarrow \pi^+\pi^-\pi^0$ decays = $(97.3 \pm 1.7)\%$ + +CP-even fraction in $D^0 \rightarrow K^+K^-\pi^0$ decays = $(73 \pm 6)\%$ + +CP-even fraction in $D^0 \rightarrow \pi^+\pi^-\pi^+\pi^-$ decays = $(76.9 \pm 2.3)\%$ + +CP-even fraction in $D^0 \rightarrow K_S^0\pi^+\pi^-\pi^0$ decays = $(23.8 \pm 1.7)\%$ + +CP-even fraction in $D^0 \rightarrow K^+K^-\pi^+\pi^-$ decays = $(75 \pm 4)\%$ + +### CP-violation asymmetry difference + +$\Delta A_{CP} = A_{CP}(K^+ K^-) - A_{CP}(\pi^+ \pi^-) = (-0.154 \pm 0.029)\%$ + +### $\chi^2$ tests of CP-violation (CPV) p-values + +Local CPV in $D^0, \bar{D}^0 \rightarrow \pi^+\pi^-\pi^0 = 4.9\%$ + +Local CPV in $D^0, \bar{D}^0 \rightarrow \pi^+\pi^-\pi^+\pi^- = (0.6 \pm 0.2)\%$ + +Local CPV in $D^0, \bar{D}^0 \rightarrow K_S^0\pi^+\pi^- = 96\%$ + +Local CPV in $D^0, \bar{D}^0 \rightarrow K^+K^-\\ -\pi^0 = 16.6\%$ + +Local CPV in $D^0, \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0 \\ -\bar{D}^0\\}$ +---PAGE_BREAK--- + +**T-violation decay-rate asymmetry** + +$$A_T(K^+ K^- \pi^+ \pi^-) = (2.9 \pm 2.2) \times 10^{-3} [{\rm{MeV}}]$$ + +$$A_{T\text{viol}}(K_S \pi^+ \pi^- \pi^0) \text{ in } D^0, \bar{D}^0 \rightarrow K_S \pi^+ \pi^- \pi^0 = (-0.3^{+1.4}_{-1.6}) \times 10^{-3}$$ + +**CPT-violation decay-rate asymmetry** + +$$A_{CPT}(K^{\mp}\pi^{\pm}) = 0.008 \pm 0.008$$ + +**Form factors** + +$$r_V \equiv V(0)/A_1(0) \text{ in } D^0 \rightarrow K^*(892)^-\ell^+\nu_\ell = 1.46 \pm 0.07$$ + +$$r_2 \equiv A_2(0)/A_1(0) \text{ in } D^0 \rightarrow K^*(892)^-\ell^+\nu_\ell = 0.68 \pm 0.06$$ + +$$f_+(0) \text{ in } D^0 \rightarrow K^- \ell^+ \nu_\ell = 0.736 \pm 0.004$$ + +$$f_+(0)|V_{cs}| \text{ in } D^0 \rightarrow K^- \ell^+ \nu_\ell = 0.7166 \pm 0.0030$$ + +$$r_1 \equiv a_1/a_0 \text{ in } D^0 \rightarrow K^- \ell^+ \nu_\ell = -2.40 \pm 0.16$$ + +$$r_2 \equiv a_2/a_0 \text{ in } D^0 \rightarrow K^- \ell^+ \nu_\ell = 5 \pm 4$$ + +$$f_+(0) \text{ in } D^0 \rightarrow \pi^- \ell^+ \nu_\ell = 0.637 \pm 0.009$$ + +$$f_+(0)|V_{cd}| \text{ in } D^0 \rightarrow \pi^- \ell^+ \nu_\ell = 0.1436 \pm 0.0026 \quad (S = 1.5)$$ + +$$r_1 \equiv a_1/a_0 \text{ in } D^0 \rightarrow \pi^- \ell^+ \nu_\ell = -1.97 \pm 0.28 \quad (S = 1.4)$$ + +$$r_2 \equiv a_1/a_0 \text{ in } D^0 \rightarrow \pi^- \ell^+ \nu_\ell = -0.2 \pm 2.2 \quad (S = 1.7)$$ + +Most decay modes (other than the semileptonic modes) that involve a neutral $K$ meson are now given as $K_S^0$ modes, not as $\bar{K}^0$ modes. Nearly always it is a $K_S^0$ that is measured, and interference between Cabibbo-allowed and doubly Cabibbo-suppressed modes can invalidate the assumption that $2\Gamma(K_S^0) = \Gamma(\bar{K}^0)$. + +
D0 DECAY MODESFraction (Γf/Γ)Scale factor/ p
Confidence level(MeV/c)
Topological modes
0-prongs[uu] (15 ± 6 )%-
2-prongs(71 ± 6 )%-
4-prongs[vv] (14.6 ± 0.5 )%-
6-prongs[xx] (6.5 ± 1.3 ) × 10-4-
Inclusive modes
e+ anything[yy] (6.49 ± 0.11 )%-
μ+ anything(6.8 ± 0.6 )%-
K- anything(54.7 ± 2.8 )%S=1.3
K0 anything + K0 anything(47 ± 4 )%-
K+ anything(3.4 ± 0.4 )%-
K*(892)- anything(15 ± 9 )%-
K*(892)0 anything(9 ± 4 )%-
K*(892)+ anything< 3.6 %CL=90%
K*(892)0 anything(2.8 ± 1.3 )%-
η anything(9.5 ± 0.9 )%-
η' anything(2.48 ± 0.27 )%-
φ anything(1.08 ± 0.04 )%-
invisibles< 9.4 × 10-5CL=90%
+ +
Semileptonic modes
K- e+ νe(3.542 ± 0.035) %S=1.3867
K- μ+ νμ(3.41 ± 0.04) %864
K*(892)- e+ νe(2.15 ± 0.16) %719
K*(892)- μ+ νμ(1.89 ± 0.24) %714
K- π0 e+ νe(1.6 +1.3-0.5) %861
+---PAGE_BREAK--- + +
K0π-e+νe( 1.44 ± 0.04 ) %860
(ℍ0π-)S-wavee+νe( 7.9 ± 1.7 ) × 10-4860
K-π+π-e+νe( 2.8 + 1.4- 1.1 ) × 10-4843
K1(1270)-e+νe( 7.6 + 4.0- 3.1 ) × 10-4511
K-π+π-μ+νμ< 1.3CL=90%821
(ℍ*(892)π-)S-waveμ+νμ< 1.5CL=90%692
π-e+νe( 2.91 ± 0.04 ) × 10-3927
π-μ+νμ( 2.67 ± 0.12 ) × 10-3S=1.3924
π-π0e+νe( 1.45 ± 0.07 ) × 10-3922
ρ-e+νe( 1.50 ± 0.12 ) × 10-3S=1.9771
a(980)-e+νe, a- → ηπ-( 1.33 + 0.34- 0.30 ) × 10-4-
+ +Hadronic modes with one K + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K-π+( 3.950±0.031) %S=1.2861
KS0π0( 1.240±0.022) %860
KS0π0(10.0 ± 0.7) × 10-3860
KS0π+π-[nn] (2.80 ± 0.18) %S=1.1842
KS0ρ0( 6.3 + 0.6- 0.8 ) × 10-3674
KS0ω, ω → π+π-( 2.0 ± 0.6 ) × 10-4670
KS+π-)S-wave( 3.3 ± 0.8 ) × 10-3842
KS0f0(980), f0 → π+π-( 1.20 + 0.40- 0.23 ) × 10-3549
KS0f0(1370), f0 → π+π-( 2.8 + 0.9- 1.3 ) × 10-3
KS0f2(1270), f2 → π+π-( 9 +10- 6 ) × 10-5262
K*(892)-π+, K*-( 1.64 + 0.14- 0.17 ) %711
KS0π-
KS(1430)-π+, KS*-( 2.67 + 0.40 - 0.33 ) × 10-3 378
KS*-π-
KS(1430)-π+, KS*-( 3.4 + 1.9 - 1.0 ) × 10-4 367
KS*-π-
K*(1680)-π+, K*-( 4.4 ± 3.5 ) × 10-4 46
KS*-π-
K*(892)+ π- , K*+                                                                                                                                                        ( [zz] (1.13 + 0.60 - 0.34) × 10-4 ) %  + +K*(1430)*+π+[zz]1.4×10-5  + +K*(1430)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*(892)*+π+[zz]1.4×10-5  + +K*
K*
K*
K*
K*
K*
K*
K* +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
*0(1430)0π0, K̅*0 → K-π+( 5.9 ± 5.0 / − 1.6 ) × 10-3379
K*(1680)-π+, K*-( 1.9 ± 0.7 ) × 10-346
K-π+π0 nonresonant( 1.15 ± 0.60 / − 0.20 ) %844
K0S0( 9.1 ± 1.1 ) × 10-3S=2.2
K0S(2π0)S-wave( 2.6 ± 0.7 ) × 10-3
*(892)0π0, K̅**0 → K0Sπ0( 8.1 ± 0.7 ) × 10-3
*(1430)0π0, K̅**0 → K0Sπ0( 4 ± 23 ) × 10-5
*(1680)0π0, K̅**0 → K0Sπ0( 1.0 ± 0.4 ) × 10-3
K0Sf2(1270), f2 → 2π0( 2.3 ± 1.1 ) × 10-4-
2K0S, one K0S → 2π0( 3.2 ± 1.1 ) × 10-4-
K-+π-[nn] ( 8.23 ± 0.14 ) %S=1.1
K-π+ρ0total( 6.87 ± 0.31 ) %
K-π+ρ03-body( 6.1 ± 1.6 ) × 10-3
*(892)0ρ0, K̅**0( 1.01 ± 0.05 ) %
-π+( 1.2 ± 0.4 ) %
*(892)0ρ0 transverse, K̅**0 → K-π+( 417)
K1a1(1260)+, a1+( 4.33 ± 0.32 ) %
ρ0π+( 3.9 ± 0.4 ) × 10-3
K1(1270)-π+, K1--848
K-π+π-total( 6.6 ± 2.3 ) × 10-4
K1(1270)-π+, K1-484
*(892)0π-, K̅**0
K-2π-+π--nonresonant( 1.81 ± 0.07 ) %813
KS0πS+πS-πS0( 5.2 ± 0.6 ) %813
KS0η, η → πS+πS-πS0( 1.17 ± 0.03 ) × 10-3772
KS0ω, ω → πS+πS-πS0( 9.9 ± 0.6 ) × 10-3670
K-π-+-0( 8.86 ± 0.23 ) %815
K-2π-+----⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π-⇌π

+ +

[aaa]

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
KKSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSπ+π- + ( 1.455± 0.024 ) × 10-3S=1.3922
0( 8.26 ± 0.25 ) × 10-4923
π+π-π-( 1.49 ± 0.06 ) %S=2.1907
ρ+π-( 1.01 ± 0.04 ) %764
ρ0π0( 3.86 ± 0.23 ) × 10-3764
ρ-π+( 5.15 ± 0.25 ) × 10-3764
ρ(1450)+π-, ρ+ → π+π0( 1.6 ± 2.1 ) × 10-5-
ρ(1450)0π0, ρ0 → π+π-( 4.5 ± 2.0 ) × 10-5-
ρ(1450)-π+, ρ- → π-π0( 2.7 ± 0.4 ) × 10-4-
ρ(1700)+π-, ρ+ → π+π0( 6.1 ± 1.5 ) × 10-4-
ρ(1700)0π0, ρ0 → π+π-( 7.4 ± 1.8 ) × 10-4-
ρ(1700)-π+, ρ- → π-π0( 4.8 ± 1.1 ) × 10-4-
f₀(980)π0, f₀ → π+π-( 3.7 ± 0.9 ) × 10-5-
f₀(500)π0, f₀ → π+π-( 1.22 ± 0.22 ) × 10-4-
f₀(1370)π0, f₀ → π+π-( 5.5 ± 2.1 ) × 10-5-
f₀(1500)π0, f₀ → π+π-( 5.8 ± 1.6 ) × 10-5-
f₀(1710)π0, f₀ → π+π-( 4.6 ± 1.6 ) × 10-5-
f₂(1270)π0, f₂ → π+π-( 1.97 ± 0.21 ) × 10-4-
π+π-π- nonresonant( 1.3 ± 0.4 ) × 10-4907
0( 2.0 ± 0.5 ) × 10-4908
+-( 7.56 ± 0.20 ) × 10-3880
a₁(1260)i\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\-\\--i
total
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+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
a1(1260)+π-, a1+( 3.14 ± 0.21 ) × 10-3-
ρ0π+S-wave
a1(1260)+π-, a1+( 1.9 ± 0.5 ) × 10-4-
ρ0π+D-wave
a1(1260)+π-, a1+ → σπ+( 6.4 ± 0.7 ) × 10-4-
a1(1260)-π+, a1-( 2.3 ± 0.9 ) × 10-4-
ρ0π-S-wave
a1(1260)-π+, a1- → σπ-( 6.1 ± 3.4 ) × 10-5-
π(1300)+π-, π(1300)+( 5.1 ± 2.7 ) × 10-4-
σπ+
π(1300)-π+, π(1300)-( 2.3 ± 2.2 ) × 10-4-
σπ-
a1(1640)+π-, a1+( 3.2 ± 1.6 ) × 10-4-
ρ0π+D-wave
a1(1640)+π-, a1+ → σπ+( 1.8 ± 1.4 ) × 10-4-
π2(1670)+π-, π2+( 2.0 ± 0.9 ) × 10-4-
f2(1270)0π+, f20
π+π-
π2(1670)+π-, π2+ → σπ+( 2.6 ± 1.0 ) × 10-4-
0total( 1.85 ± 0.13 ) × 10-3518
0, parallel helicities( 8.3 ± 3.2 ) × 10-5-
0, perpendicular helicities( 4.8 ± 0.6 ) × 10-4-
0, longitudinal helicities( 1.27 ± 0.10 ) × 10-3-
2ρ(770)0, S-wave( 1.8 ± 1.3 ) × 10-4-
2ρ(770)0, P-wave( 5.3 ± 1.3 ) × 10-4-
2ρ(770)0, D-wave( 6.2 ± 3.0 ) × 10-4-
Resonant (π+π-+π-( 1.51 ± 0.12 ) × 10-3-
3-body total
σπ+π-( 6.2 ± 0.9 ) × 10-4-
σρ(770)0( 5.0 ± 2.5 ) × 10-4-
f0(980)π+π-, f0 → π+π-( 1.8 ± 0.5 ) × 10-4-
f2(1270)π+π-, f2( 3.7 ± 0.6 ) × 10-4-
π+π-
f2(1270), f2 → π+π-( 1.6 ± 1.8 ) × 10-4-
f0(1370)σ, f0 → π+π-( 1.6 ± 0.5 ) × 10-3-
π+π-
2ππ0
( 1.02 ± 0.09 ) %                                                                                                            ( 882) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + https://www.w3.org/TR/CSS2/prop-值-定义.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-定义 + https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-defineurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the-ink-converter-attribute.html#prop-value-eachurleachancequrisourceuri + +https://www.w3.org/TR/CSS2/properties-of-the- + +---PAGE_BREAK--- + +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
KS0 K- π+( 3.3 ± 0.5 ) × 10-3S=1.1739
K̅*(892)0 KS0, K̅*0 → K-π+( 8.2 ± 1.6 ) × 10-5608
K*(892)+ K-, K*+ → KS0π+( 1.89 ± 0.30 ) × 10-3--
K̅*(1410)0 KS0, K̅*0 → K-π+( 1.3 ± 1.9 ) × 10-4--
K*(1410)+ K-, K*+ → KS0π+( 3.2 ± 1.9 ) × 10-4--
(K-π+)S-wave KS0( 6.0 ± 2.9 ) × 10-4739
(KS0π+)S-wave K-( 3.9 ± 1.0 ) × 10-4
a0(980)-π+, a0- → KS0K-( 1.3 ± 1.4 ) × 10-4--
a0(1450)-π+, a0- → KS0K-( 2.5 ± 2.0 ) × 10-5--
a2(1320)-π+, a2- → KS0K-( 5 ± 5 ) × 10-6--
ρ(1450)-π+, ρ- → KS0K-( 4.6 ± 2.5 ) × 10-5--
KS0 K+ π-( 2.17 ± 0.34 ) × 10-3S=1.1739
K*(892)0 KS0, K*0 → K+π-( 1.12 ± 0.21 ) × 10-4608
K*(892)- K+, K*− → KS0π-( 6.2 ± 1.0 ) × 10-4--
K*(1410)0 KS0, K*0 → K+π+( 5 ± 8 ) × 10-5--
K*(1410)- K+, K*− → KS0π-( 2.6 ± 2.0 ) × 10-4--
(K+π-)S-wave KS0( 3.7 ± 1.9 ) × 10-4739
(KS0π-)S-wave K+( 1.4 ± 0.6 ) × 10-4
a0(980)+/-, a0+/-, a0+/- → KS0K+/-( 6 ± 4 ) × 10-4--
a0(1450)+/-, a0+/-, a0+/-, a0+/-/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, a0/±/K̅, aa_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2_2-/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+/-/+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,+,-,++-+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--+-+--%-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓∓S=1.1 +
K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)K* (895)
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K1(1270)+ K-, K1+( 1.5 ± 0.5 ) × 10-4-
K*(1430)0 π+, K*0
K-
K1(1270)+ K-, K1+ → ρ0 K+( 2.2 ± 0.6 ) × 10-4-
K1(1270)+ K-, K1+( 1.5 ± 1.2 ) × 10-5-
ω(782) K+, ω → π+π-
K1(1270)- K+, K1- → ρ0 K-( 1.3 ± 0.4 ) × 10-4-
K1(1400)+ K-, K1+( 4.6 ± 0.4 ) × 10-4-
K*(892)0 π+, K*0
K-
K*(1410)- K+, K*-( 7.0 ± 1.1 ) × 10-5-
K1(1680)+ K-, K1+( 8.9 ± 3.2 ) × 10-5-
K*0 π+, K*0 → K-
K+ K- π+ π- non-resonant( 2.7 ± 0.6 ) × 10-4-
2KS0 π+ π-( 1.22 ± 0.23 ) × 10-3673
KS0 K-+ π-< 1.4 × 10-4CL=90%
K+ K- π+ π- πe0( 3.1 ± 2.0 ) × 10-3600
+ +Other $K\bar{K}X$ modes. They include all decay modes of the $\phi$, $\eta$, and $\omega$. + +
$\phi\pi^0$( 1.17 ± 0.04 ) × 10⁻³645
$\phi\eta$( 1.8 ± 0.5 ) × 10⁻⁴489
$\phi\omega$< 2.1 × 10⁻³ CL=90%238
+ +**Radiative modes** + +
$\rho^0\gamma$( 1.82 ± 0.32 ) × 10⁻⁵ CL=90%771
$\omega\gamma$< 2.4 × 10⁻⁴ CL=90%768
$\phi\gamma$( 2.81 ± 0.19 ) × 10⁻⁵ CL=95%654
$K^*(892)^0\gamma$( 4.2 ± 0.7 ) × 10⁻⁴ CL=90%719
+ +**Doubly Cabibbo suppressed (DC) modes or $\Delta C = 2$ forbidden via mixing (C2M) modes** + +
K+ℓ-νℓ via D̄0< 2.2 × 10-5CL=90%-
K+or K*(892)+e-νe via D̄0< 6 × 10-5CL=90%-
K-DC
( 1.50 ± 0.07 ) × 10-4
S=3.0861
K- via DCS
KS
KS
K*S
K*(892)S
K*(892)S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S
K*S) → D̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄
                                                                                                                                      
K*(892)s
 K*K*K*K*K*K*K*K*K*K*K*K*K*K*K*K*K*K*K*K*K*
DC
( 1.364 ± 0.026 ) × 10⁻⁴
< 1.6 × 10⁻⁵ CL=95%<
< 1.8 × 10⁻⁴ CL=95%<
S=3.0
<
861
<
K*(892)s♩K*K*K*K*K*K*K*K*K*DC
( 1.13 + - 0.60
& - 0.34 ) × 10⁻⁴
< 1.4 × 10⁻⁵ CL=95%<
K*(892)s♩K*K*K*K*K*K*K*K*DC
( 3.06 ± 0.15 ) × 10⁻⁴
( 7.6 + - 0.5
& - 0.6 ) × 10⁻⁴ CL=95%<
K*(892)s♩K*K*K*K*K*K*K*DC
( 2.49 ± 0.07 ) × 10⁻⁴
( 2.65 ± 0.06 ) × 10⁻⁴ CL=95%<
K*(892)s♩K*K*K*K*K*K*DC
( 7.9 ± 3.0 ) × 10⁻⁶
( - & + & - & + ) × 10⁻⁶ CL=95%<
+ + + + + + + + + + + + + + + + + + +
+ $\mu^{-}$ anything via $\overline{D}^{0}$ + + CL=90% + + - +
+
+
+
+ + +---PAGE_BREAK--- + +ΔC = 1 weak neutral current (C1) modes, +Lepton Family number (LF) violating modes, +Lepton (L) or Baryon (B) number violating modes + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
γγC1< 8.5× 10-7CL=90%932
e+e-C1< 7.9× 10-8CL=90%932
μ+ μ-C1< 6.2× 10-9CL=90%926
π0 e+ e-C1< 4× 10-6CL=90%928
π0 μ+ μ-C1< 1.8× 10-4CL=90%915
η e+ e-C1< 3× 10-6CL=90%852
η μ+ μ-C1< 5.3× 10-4CL=90%838
π+ π- e+ e-C1< 7× 10-6CL=90%922
ρ0 e+ e-C1< 1.0× 10-4CL=90%771
π+ π- μ+ μ-C1( 9.6 ± 1.2 )× 10-7894
π+ π- μ+ μ- (non-res)< 5.5× 10-7CL=90%-
ρ0 μ+ μ-C1< 2.2× 10-5CL=90%754
ω e+ e-C1< 6× 10-6CL=90%768
ω μ+ μ-C1< 8.3× 10-4CL=90%751
K- K+ e+ e-C1< 1.1× 10-5CL=90%791
φ e+ e-C1< 5.2× 10-5CL=90%654
K- K+ μ+ μ-C1( 1.54 ± 0.32 )× 10-7710
K- K+ μ+ μ- (non-res)< 3.3× 10-5CL=90%-
φ μ+ μ-C1< 3.1× 10-5CL=90%631
L*eL+eL-[ss]< 2.4× 10-5CL=90%
L*μL+μL-[ss]< 2.6× 10-4CL=90%
L*πL+eL+e-
-675 <
m<875 MeV
(non-res)
[ss]( 4.0 ± 0.5 )× 10-6CL=90%
γγC1< 8.5 × 10⁻⁷ CL=90%932
e⁺e⁻ C1< 7.9 × 10⁻⁸ CL=90%
μ⁺μ⁻ C1< 6.2 × 10⁻⁹ CL=90%926
π⁰e⁺e⁻ C1< 4 × 10⁻⁶ CL=90%
π⁰μ⁺μ⁻ C1< 1.8 × 10⁻⁴ CL=90%915
ηe⁺e⁻ C1< 3 × 10⁻⁶ CL=90%
ημ⁺μ⁻ C1< 5.3 × 10⁻⁴ CL=90%838
π⁺π⁻e⁺e⁻ C1< 7 × 10⁻⁶ CL=90%
ρ⁰e⁺e⁻ C1< 1.0 × 10⁻⁴ CL=90%771
π⁺π⁻μ⁺μ⁻ C1 (9.6 ± 1.2) × 10⁻⁷ CL=90%< 5.5 × 10⁻⁷ CL=90%
π⁺π⁻μ⁺μ⁻(non-res)C1 (2.2 × 10⁻⁵ CL=90%) - < 5.5 × 10⁻⁷ CL=90%-
ρ⁰μ⁺μ⁻ C1 (6.6 × 10⁻⁵ CL=90%) - < 2.2 × 10⁻⁵ CL=90%754
768
751
791
654
710
-
ωe⁺e⁻ C1 (8.3 × 10⁻⁵ CL=90%) - < 6 × 10⁻⁶ CL=90%-
ωμ⁺μ⁻ C1 (3.3 × 10⁻⁵ CL=90%) - < 8.3 × 10⁻⁶ CL=90%-
K⁻K⁺e⁺e⁻ C1 (3.5 × 10⁻⁵ CL=90%) - < 3.3 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻ C1 (4.7 × 10⁻⁵ CL=90%) - < 3.3 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.5 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.7 × 10⁻⁵ CL=90%) - < 3.5 × 10⁻⁵ CL=90%
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%-
K⁻K⁺μ⁺μ⁻(non-res)C1 (4.4 × 10⁻⁵ CL=90%) - < 3.4 × 10⁻⁵ CL=90%
+ + + + + + +
γγ +
γγ + + +---PAGE_BREAK--- + +
pe-L,B [ccc] < 1.0x 10-5CL=90%696
p̄e+L,B [ddd] < 1.1x 10-5CL=90%696
+ +### D*(2007)⁰ + +$$I(J^P) = \frac{1}{2}(1^-)$$ + +$I, J, P$ need confirmation. + +Mass $m = 2006.85 \pm 0.05$ MeV (S = 1.1) + +$m_{D^{*0}} - m_{D^0} = 142.014 \pm 0.030$ MeV (S = 1.5) + +Full width $\Gamma < 2.1$ MeV, CL = 90% + +$\bar{D}^*(2007)^0$ modes are charge conjugates of modes below. + +
D*(2007)0 DECAY MODESFraction (Γf/Γ)p (MeV/c)
D0π-(64.7±0.9) %43
D0γ(35.3±0.9) %137
+ +### D*(2010)± + +$$I(J^P) = \frac{1}{2}(1^-)$$ + +$I, J, P$ need confirmation. + +Mass $m = 2010.26 \pm 0.05$ MeV + +$m_{D^{*}(2010)^+} - m_{D^+} = 140.603 \pm 0.015$ MeV + +$m_{D^{*}(2010)^+} - m_{D^0} = 145.4257 \pm 0.0017$ MeV + +Full width $\Gamma = 83.4 \pm 1.8$ keV + +$D^{*}(2010)^-$ modes are charge conjugates of the modes below. + +
D*(2010)± DECAY MODESFraction (Γf/Γ)p (MeV/c)
D0π+(67.7±0.5) %39
D+π0(30.7±0.5) %38
D+γ(1.6±0.4) %136
+ +### D0**(2300)0 + +$$I(J^P) = \frac{1}{2}(0^+)$$ + +was $D_0^*(2400)^0$ + +Mass $m = 2300 \pm 19$ MeV + +Full width $\Gamma = 274 \pm 40$ MeV + +### D1(2420)0 + +$$I(J^P) = \frac{1}{2}(1^+)$$ + +Mass $m = 2420.8 \pm 0.5$ MeV (S = 1.3) + +$m_{D_1^0} - m_{D^{*+}} = 410.6 \pm 0.5$ MeV (S = 1.3) + +Full width $\Gamma = 31.7 \pm 2.5$ MeV (S = 3.5) + +### D2**(2460)0 + +$$I(J^P) = \frac{1}{2}(2^+)$$ + +$J^P = 2^+$ assignment strongly favored. + +Mass $m = 2460.7 \pm 0.4$ MeV (S = 3.1) + +$m_{D_2^*} - m_{D^+} = 591.0 \pm 0.4$ MeV (S = 2.9) + +$m_{D_2^*} - m_{D^{*+}} = 450.4 \pm 0.4$ MeV (S = 2.9) + +Full width $\Gamma = 47.5 \pm 1.1$ MeV (S = 1.8) +---PAGE_BREAK--- + +$$D_2^*(2460)^{\pm} \qquad I(J^P) = \frac{1}{2}(2^+)$$ + +$J^P = 2^+$ assignment strongly favored. + +Mass $m = 2465.4 \pm 1.3$ MeV (S = 3.1) + +$m_{D_2^*(2460)\pm} - m_{D_2^*(2460)\ominus} = 2.4 \pm 1.7$ MeV + +Full width $\Gamma = 46.7 \pm 1.2$ MeV + +CHARMED, STRANGE MESONS +(C = S = ±1) + +$D_s^+ = c\bar{s}, D_s^- = \bar{c}s$, similarly for $D_s^*$'s + +$$D_s^{\pm} \qquad I(J^P) = 0(0^-)$$ + +Mass $m = 1968.34 \pm 0.07$ MeV + +$m_{D_s^{\pm}} - m_{D_s^{\mp}} = 98.69 \pm 0.05$ MeV + +Mean life $\tau = (504 \pm 4) \times 10^{-15}$ s (S = 1.2) + +$c\tau = 151.2~\mu\text{m}$ + +CP-violating decay-rate asymmetries + +A$_{CP}(\mu^{\pm}\nu) = (5 \pm 6)\%$ + +A$_{CP}(K^{\pm} K_S^0) = (0.09 \pm 0.26)\%$ + +A$_{CP}(K^{\pm} K_L^0)$ in $D_s^+ \to K^{\pm} K_L^0 = (-1.1 \pm 2.7) \times 10^{-2}$ + +A$_{CP}(K^+ K^- \pi^{\pm}) = (-0.5 \pm 0.9)\%$ + +A$_{CP}(\phi\pi^{\pm}) = (-0.38 \pm 0.27)\%$ + +A$_{CP}(K^{\pm} K_S^0 \pi^0) = (-2 \pm 6)\%$ + +A$_{CP}(2K_S^0 \pi^{\pm}) = (3 \pm 5)\%$ + +A$_{CP}(K^+ K^- \pi^{\pm}\pi^0) = (0.0 \pm 3.0)\%$ + +A$_{CP}(K^{\pm} K_S^{0\pm} \pi^+\pi^-) = (-6 \pm 5)\%$ + +A$_{CP}(K_S^0 K^{\mp} 2\pi^{\pm}) = (4.1 \pm 2.8)\%$ + +A$_{CP}(\pi^+ \pi^- \pi^{\pm}) = (-0.7 \pm 3.1)\%$ + +A$_{CP}(\pi^{\pm}\eta) = (1.1 \pm 3.1)\%$ + +A$_{CP}(\pi^{\pm}\eta') = (-0.9 \pm 0.5)\%$ + +A$_{CP}(\eta\pi^{\pm}\pi^0) = (-1 \pm 4)\%$ + +A$_{CP}(\eta'\pi^{\pm}\pi^0) = (0 \pm 8)\%$ + +A$_{CP}(K^{\pm}\pi^0) = (-27 \pm 24)\%$ + +A$_{CP}(K_S^0 / K^0 \pi^{\pm}) = (0.4 \pm 0.5)\%$ + +A$_{CP}(K_S^0 \pi^{\pm}) = (0.20 \pm 0.18)\%$ + +A$_{CP}(K^{\pm}\pi^+\pi^-) = (4 \pm 5)\%$ + +A$_{CP}(K^{\pm}\eta) = (9 \pm 15)\%$ + +A$_{CP}(K^{\pm}\eta'(958)) = (6 \pm 19)\%$ + +CP violating asymmetries of P-odd (T-odd) moments + +$A_T(K_S^0 K^\pm \pi^+\pi^-) = (-14 \pm 8) \times 10^{-3} [TeV]$ + +$D_s^\dagger \rightarrow \phi l^\dagger v_\ell$ form factors + +$r_2 = 0.84 \pm 0.11$ (S = 2.4) + +$r_v = 1.80 \pm 0.08$ + +$\Gamma_L/\Gamma_T = 0.72 \pm 0.18$ +---PAGE_BREAK--- + +$$f_+(0) |V_{cs}| \text{ in } D_s^+ \rightarrow \eta e^+ \nu_e = 0.446 \pm 0.007$$ + +$$f_+(0) |V_{cs}| \text{ in } D_s^+ \rightarrow \eta' e^+ \nu_e = 0.48 \pm 0.05$$ + +CP violating asymmetries of P-odd (T-odd) moments + +$$f_+(0)|V_{cd}| \text{ in } D_s^+ \rightarrow K^0 e^+ \nu_e = 0.162 \pm 0.019$$ + +$$r_v \equiv V(0)/A_1(0) \text{ in } D_s^+ \rightarrow K^*(892)^0 e^+ \nu_e = 1.7 \pm 0.4$$ + +$$r_2 \equiv A_2(0)/A_1(0) \text{ in } D_s^+ \rightarrow K^*(892)^0 e^+ \nu_e = 0.77 \pm 0.29$$ + +$$f_{D_s^+}^* |V_{cs}| \text{ in } D_s^+ \rightarrow \mu^+ \nu_\mu = 246 \pm 5 \text{ MeV}$$ + +Unless otherwise noted, the branching fractions for modes with a resonance in the final state include all the decay modes of the resonance. $D_s^-$ modes are charge conjugates of the modes below. + +
Ds+ DECAY MODESFraction (Γf/Γ)Scale factor/ Confidence levelp (MeV/c)
Inclusive modes
e+ semileptonic[eee] (6.5 ±0.4)%-
π+ anything(119.3 ±1.4)%-
π- anything(43.2 ±0.9)%-
π0 anything(123 ±7)%-
K- anything(18.7 ±0.5)%-
K+ anything(28.9 ±0.7)%-
KS0 anything(19.0 ±1.1)%-
η anything[fff] (29.9 ±2.8)%-
ω anything(6.1 ±1.4)%-
η' anything[ggg] (10.3 ±1.4)%S=1.1-
f0(980) anything, f0 → π+π-< 1.3 %CL=90%-
φ anything(15.7 ±1.0)%-
K+K- anything(15.8 ±0.7)%-
KS0K+ anything(5.8 ±0.5)%-
KS-K+ anything(1.9 ±0.4)%-
2KS0 anything(1.70±0.32)%-
2K+ anything< 2.6 × 10-3CL=90%-
2K- anything< 6 × 10-4CL=90%-
Leptonic and semileptonic modes
e+νe< 8.3 × 10-5CL=90%984
μ+νμ(5.49±0.16) × 10-3981
τ+ντ(5.48±0.23)%182
γe+νe< 1.3 × 10-4CL=90%984
K+K-e+νe851
φe+νe[hhh] (2.39±0.16)%S=1.3720
φμ+νμ(1.9 ±0.5)%715
ηe+νe + η'(958)e+νe[hhh] (3.03±0.24)%-
ηe+νe[hhh] (2.32±0.08)%908
η'(958)e+νe[hhh] (8.0 ±0.7)×10-3751
ημ+νμ(2.4 ±0.5)%905
η'(958)μ+νμ(1.1 ±0.5)%747
ωe+νe[iii] < 2.0 × 10-3CL=90%829
K0e+νe(3.4 ±0.4)×10-3921
K*(892)0e+νe[hhh] (2.15±0.28)×10-3S=1.1782
+ +Hadronic modes with a K$K\bar{\tau}$ pair + +$$K^{+} K_{S}^{0} \qquad (1.46 \pm 0.04) \% \qquad S=1.1$$ + +$$K^{+} K_{L}^{0} \qquad (1.49 \pm 0.06) \%$$ + +$$S=1.1$$ + +$$S=1.1$$ +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K+0( 2.95±0.14 ) %850
K+ K-π+[nn] ( 5.39±0.15 ) %S=1.2805
φπ+[hhh,jjj] ( 4.5 ± 0.4 ) %712
φπ+, φ → K+K-[iii] ( 2.24±0.08 ) %712
K+K*(892)0, K*0 → K-π+( 2.58±0.08 ) %416
f0(980)π+, f0 → K+K-( 1.14±0.31 ) %732
f0(1370)π+, f0 → K+K-( 7 ± 5 ) × 10-4-
f0(1710)π+, f0 → K+K-( 6.6 ± 2.8 ) × 10-4198
K+K0(1430)0, K0- → K-π+( 1.8 ± 0.4 ) × 10-3218
K+ KS0π0( 1.52±0.22 ) %805
2KS0π+( 7.7 ± 0.6 ) × 10-3802
K0K0π+802
K*(892)+K0[hhh] ( 5.4 ± 1.2 ) %683
K+K-π+π0( 6.2 ± 0.6 ) %S=1.1748
φρ+[hhh] ( 8.4 +1.9-2.3 ) %401
KS0K-+( 1.65±0.10 ) %744
K*(892)+K*(892)0( 7.2 ± 2.6 ) %417
K+KS0π+π-( 9.9 ± 0.8 ) × 10-3744
K+K-+π-( 8.6 ± 1.5 ) × 10-3673
φ2π+π-[hhh] ( 1.21±0.16 ) %640
φρ0π+, φ → K+K-( 6.5 ± 1.3 ) × 10-3181
φa1(1260)+, φ →( 7.4 ± 1.2 ) × 10-3
K+K-, a1+ → ρS0πS+
φ2π+π-                                                                                                                                                 ( 1.8 ± 0.7 ) × 10-3-
KS+KS-ρS0πS+—φ< 2.6 × 10-4CL=90%
KS+KS-S+πS-—nonresonant( 9 ± 7 ) × 10-4673
2KS
ρ
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
π
πs --ν
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + D* (nonresonant) +
Hadronic modes without K's
π⁺π⁻


                                                                                                                                                 (nonresonant))


&
ε
ε
ε
ε


υ
υ




























































+ + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) + + D* (nonresonant) +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
2(2462)0π+ × B(D̄2*0 → D*(2010)-π+)( 2.2 ± 1.1 ) × 10-4-
0(2400)0π+ × B(D̄0(2400)0 → D-π+)( 6.4 ± 1.4 ) × 10-42136
1(2421)0π+ × B(D̄1(2421)0 → D*-π+)( 6.8 ± 1.5 ) × 10-4-
2(2462)0π+ × B(D̄2(2462)0 → D*-π+)( 1.8 ± 0.5 ) × 10-4-
1(2427)0π+ × B(D̄1(2427)0 → D*-π+)( 5.0 ± 1.2 ) × 10-4-
1(2420)0π+ × B(D̄10 → D*-π+, π-)< 6× 10-6CL=90%2082
1(2420)*ρ+< 1.4× 10-3CL=90%1996
2(2460)*π+< 1.3× 10-3CL=90%2063
2(2460)*π+ × B(D̄2*0 → D*-π+, π-)< 2.2× 10-5CL=90%2063
1(2680)*π+, D̄1(2680)* → D-π+( 8.4 ± 2.1 ) × 10-5-
3(2760)*π+, D̄3(2760)*π+ → D-π+( 1.00 ± 0.22 ) × 10-5-
2(3000)*π+, D̄2(3000)*π+ → D-π+( 2.0 ± 1.4 ) × 10-6-
s(2460)*ρ+< 4.7× 10-3CL=90%1977
s*s*( 9.0 ± 0.9 ) × 10-3-
s0(2317)*+D̄s0*, D̄s0* → D̄s*πs*( 8.0 + 1.6 - 1.3 ) × 10-4-
s0(2317)*+D̄s0* × B(D̄s0(2317)*+ → D̄s*γ)< 7.6× 10-4CL=90%1605
-1605
s0(2317)*+D̄s0*(2007)* × B(D̄s0(2317)*+ → D̄s*πs*)( 9 ± 7 ) × 10-4-
s,J(2457)*B(DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457)
+ DsJ, (2457) +\\[3mm] +(D_{s,J}(2457)+ \bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar{\bar\\[8mm} +\\[1.3cm]\pm] +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
D̅*(2007)0 Ds1(2536)+ × B(Ds1(2536)+ → D*(2007)0 K+)( 5.5 ± 1.6 ) × 10-41339
0 Ds1(2536)+×B(Ds1(2536)+ → D+K0)( 2.3 ± 1.1 ) × 10-41447
0 Ds,J(2700)+×B(Ds,J(2700)+ → D0K+)( 5.6 ± 1.8 ) × 10-4S=1.7 -
*0 Ds1(2536)+, Ds1+ → D*+K0( 3.9 ± 2.6 ) × 10-41339
0 Ds,J(2573)+, Ds,J+ → D0K+( 8 ± 15 ) × 10-6-
*0 Ds,J(2573), Ds,J+ → D0K+< 2CL=90%
*(2007)0 Ds,J(2573), Ds,J+ → D0K+< 5CL=90%
0Ds*( 7.6 ± 1.6 ) × 10-31734
*(2007)0Ds+( 8.2 ± 1.7 ) × 10-31737
*(2007)0Ds*( 1.71 ± 0.24 ) %1651
Ds(*)+D̅**0( 2.7 ± 1.2 ) %-
*(2007)0D*(2010)+( 8.1 ± 1.7 ) × 10-41713
0D*(2010)++D̅*(2007)0D+< 1.30 %CL=90%
0D*(2010)+( 3.9 ± 0.5 ) × 10-41792
0D+( 3.8 ± 0.4 ) × 10-41866
0D+K0( 1.55 ± 0.21 ) × 10-31571
D+*(2007)0( 6.3 ± 1.7 ) × 10-41791
*(2007)0D+K0( 2.1 ± 0.5 ) × 10-31475
0D*(2010)+K0( 3.8 ± 0.4 ) × 10-31476
*(2007)0D*(2010)+K0( 9.2 ± 1.2 ) × 10-31362
0Ds+Ks*{K}{D+D*})K( 1.45 ± 0.33 ) × 10-3{S=2.6 CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90% CL=90%
Dsssss< 2.6 × 10-4{CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L-C-C-L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_L_C_lmsn{d}{K}{D+D*})K< 2.6 × 10-4{schematized{a}{b}{c}{d}{e}{f}< 2.6 × 10-4{schematized{a}{b}{c}{d}{e}{f}
Dsη< 4 × 10-4{schematized{h}{i}< 4 × 10-4{schematized{h}{i}
Dsη< 6 × 10-4{schematized{j}{k}< 6 × 10-4{schematized{j}{k}
Dsρsm;< 3.8 × 10-4{schematized{n}{o}< 3.8 × 10-4{schematized{n}{o}
Dsr;ρsm;< 4 × 10-4{schematized{p}{q}< 4 × 10-4{schematized{p}{q}
Dsw;ρ< 4 × 10-4{schematized{s}{t}< 4 × 10-4{schematized{s}< 6 × 1×1××
< 6 × 1××
< 6 × 1×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
< 6 ×
D*sa₁(126)₁(126)₀(12)₀(1)₀(₁)₀(₂)₀(₃)₀(₄)₀(₅)₀(₆)₀(₇)₀(₈)₀(₉)₀(₁₀)₀(₁₁)₀(₁₂)₀(₁₃)₀(₁₄)₀(₁₅)₀(₁₆)₀(₁₇)₀(₁₈)₀(₁₉)₀(₂₀)₀(₂₁)₀(₂₂)₀(₂₃)₀(₂₄)₀(₂₅)₀(₂₆)₀(₂₇)₀(₂₈)₀(₂₉)₀(₃₀)₀(₃₁)₀(₃₂)₀(₃₃)₀(₃₄)₀(₃₅)₀(₃₆)₀(₃₇)₀(₃₈)₀(₃₉)₀(₄₀)₀(₄₁)₀(₄₂)₀(₄₃)₀(₄₄)₀(₄₅)₀(₄₆)₀(₄₇)₀(₄₈)₀(₄₉)₀(៥)⁰⁾K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·K⁰⁾·
Schemata for K⁰ and K¹:
Schemata for K⁰ and K¹:
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
DS*+ K*(892)0< 3.5× 10-4CL=90%2112
DS- π+ K+( 1.80 ± 0.22 )× 10-42222
DS- π+ K-( 1.45 ± 0.24 )× 10-42164
DS- π+ K*(892)+< 5× 10-3CL=90%2138
DS- π+ K*(892)-< 7× 10-3CL=90%2076
DS- K+ K+( 9.7 ± 2.1 )× 10-62149
DS*- K+ K+< 1.5× 10-5CL=90%2088
Charmonium modes
ηc K+( 1.06 ± 0.09 )× 10-3S=1.21751
ηc K+, ηc → KS0Kπ±( 2.7 ± 0.6 )× 10-5-
ηc K*(892)+( 1.1 ± 0.5
- 0.4 )
× 10-31646
ηc K+ π+ π-< 3.9× 10-4CL=90%1684
ηc K+ ω(782)< 5.3× 10-4CL=90%1475
ηc K+ η< 2.2× 10-4CL=90%1588
ηc K0< 6.2× 10-5CL=90%1723
ηc(2S) K+( 4.4 ± 1.0 )× 10-41320
                                                                                                                                                             S=1.1( 3.5 ± 0.8 )× 10-8-
ηc(2S) K+, ηc → KS0Kπ( 3.4 ± 2.3
- 1.6 )
× 10-6-
ηc(2S) K+, ηc → psπs
c(1P) K+, ℏc → J/ψπsπs
χc1(3872) K+
( 1.12 ± 0.18 )× 10-6-
χc1(3872) K+, χc1 → p
χc1(3872) K+, χc1 → J/ψπsπ
χc1(3872) K+, χc1 → J/ψπ
χc1(3872) K+, χc1 → DS
χc1(3872) K+, χc1 → DS
χc1(3872) K+, χc1 → DS
χc1(3872) K*, χc1
χc1(1P)
χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K*, χc1(3872)K

+
( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × 10( 4 ± 4 ) × 10( 5 ± 0.4 ) × ( S=6, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, CL=96, GLYPH
+ +
D_s^*+K*(892)<^o><3.5x-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o-^o->
D_s^-K*(8)(+)^*+K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^-K^->
D_s^{*-}+N*(+)^*+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}+N^{*-}>
D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}-D_s^{-}>
Charmonium modes
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
η_c K⁺ (S)
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η_c K⁺ (S)
η_c K⁻ (S)ʵ Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = Sʵ = S#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#s_3#ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--ssr--sssr-srsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrsrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r-r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_r_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprprpr prp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rrp rRPPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRPRRPPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPrPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPpPp_PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS +
ηc·k†
<
<
×
×
×
×
ηc·k†
<
<
×
×
×
×
ηc·k†
<
<
×
×
×
×
ηc·k†
<
<
×
×
×
×
ηc·k†
<
<
×
×
×
×
ηc†
<
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×
×
×
×
Charmonium modes
ηc·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)·(S)—
+ + + + +
D̅₃₄₅₆₇₈₉₄₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₄₅₆₇₈₉��ₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐₐ₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁₂₁十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二一十二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二二三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三三 +
+ + + + + + + +
Charmonium modes
ηc* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* + p* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- +
ηc * → k * → π * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ * → ρ *→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ρ→ +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
χc1(3872)K*(892)+, χc1 → J/ψγ< 4.8× 10-6CL=90%939
χc1(3872)K*(892)+, χc1 → ψ(2S)γ< 2.8× 10-5CL=90%939
χc1(3872)+K0, χc1+ → J/ψ(1S)π+π0[rr] < 6.1× 10-6CL=90%-
χc1(3872)K0π+, χc1 → J/ψ(1S)π+π-( 1.06 ± 0.31 )× 10-5--
Zc(4430)+K0, Zc+ → J/ψπ+< 1.5× 10-5CL=95%-
Zc(4430)+K0, Zc+ → ψ(2S)π+< 4.7× 10-5CL=95%-
ψ(4260)0K+, ψ0 → J/ψπ+π-< 1.56× 10-5CL=95%-
X(3915)K+, X → J/ψγ< 1.4× 10-5CL=90%-
X(3915)K+, X → χc1(1P)π0< 3.8× 10-5CL=90%-
X(3930)0K+, X0 → J/ψγ< 2.5× 10-6CL=90%-
J/ψ(1S)K+( 1.006 ± 0.027 )× 10-31684
J/ψ(1S)K0π+( 1.14 ± 0.11 )× 10-31651
J/ψ(1S)K+π+π-( 8.1 ± 1.3 )× 10-4S=2.51612
J/ψ(1S)K+K-K+( 3.37 ± 0.29 )× 10-51252
X(3915)K+, X → pp< 7.1× 10-8CL=95%-
J/ψ(1S)K*(892)+( 1.43 ± 0.08 )× 10-31571
J/ψ(1S)K(1270)+( 1.8 ± 0.5 )× 10-31402
J/ψ(1S)K(1400)+< 5× 10-4CL=90%1308
J/ψ(1S)ηK+( 1.24 ± 0.14 )× 10-41510
χc1-odd(3872)K+, χc1-odd → J/ψη< 3.8× 10-6CL=90%-
ψ(4160)K+, ψ → J/ψη< 7.4× 10-6CL=90%
J/ψ(1S)η'K+< 8.8× 10-5CL=90%
J/ψ(1S)φK+( 5.0 ± 0.4 )× 10-51227
J/ψ(1S)K1(1650), K1 → φK+( 6 ± 10/6 )× 10-6-
J/ψ(1S)K*(1680)+, K* → φK+( 3.4 ± 1.9/2.2 )× 10-6-
J/ψ(1S)K*₂(1980), K*₂ → φK+( 1.5 ± 0.9/0.5 )× 10-6-
J/ψ(1S)K(1830)+, K(1830)+ → φK+( 1.3 ± 1.3/1.1 )× 10-6-
χc1(4140)K+, χc1 → J/ψ(1S)φ( 10 ± 4 )× 10-6-
χc1(4274)K+, χc1 → J/ψ(1S)φ( 3.6 ± 2.2/1.8 )× 10-6-
χc0(4500)K+, χc0 → J/ψ(1S)φ( 3.3 ± 2.1/1.7 )× 10-6-
χc0(4700)K+, χc0
→ J/ψ(1S)φ
J/ψ(1S)ωK+
    
χc1(3872)K+, χc1
→ J/ψω
X(3915)K+, X → J/ψω
J/ψ(1S)π+
J/ψ(1S)π+π+π-π-
J/ψ(1S)ρ+
J/ψ(1S)π+π⁰ nonresonant
J/ψ(1S)a₁(1260)
+
    
 ( 3.20 ± 0.60/0.32 )× 10⁻⁴ 1388
 ( 6.0 ± 2.2 )× 10⁻⁶ 1141
 ( 3.0 ± 0.9/0.7 )× 10⁻⁵ 1103
 ( 3.87 ± 0.11 )× 10⁻⁵ 1728
 ( 1.16 ± 0.13 )× 10⁻⁵ 1635
 ( 1.9 ± 0.4 )× 10⁻⁵ 1304
 ( 4.1 ± 0.5 )× 10⁻⁵
S=1.4
CL=90%
 1611
CL=90%
 < 7.3
< 1.2
+                                                                                                                               CL=90%
× 10⁻⁶
× 10⁻³
CL=90%
&mathrm; CL=90% CL=90%
+ + +---PAGE_BREAK--- + +< + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
J/ψ(1S) ppπ+< 5.0× 10-7CL=90%643
J/ψ(1S) pΛ( 1.46 ± 0.12 )× 10-5567
J/ψ(1S) Σ0 p< 1.1× 10-5CL=90%
J/ψ(1S) D+< 1.2× 10-4CL=90%871
J/ψ(1S) D0 π+< 2.5× 10-5CL=90%665
ψ(2S) π+( 2.44 ± 0.30 )× 10-51347
ψ(2S) K+( 6.19 ± 0.22 )× 10-41284
ψ(2S) K*(892)+( 6.7 ± 1.4 )× 10-4S=1.31116
ψ(2S) Kπ-( 4.3 ± 0.5 )× 10-41179
ψ(2S) φ(1020) K+( 4.0 ± 0.7 )× 10-6417
ψ(3770) K+( 4.9 ± 1.3 )× 10-41218
ψ(3770) K+, ψ → D0 D0( 1.5 ± 0.5 )× 10-4S=1.41218
ψ(3770) K+, ψ → D+ D-( 9.4 ± 3.5 )× 10-51218
ψ(3770) K+, ψ → pp< 2× 10-7CL=95%
ψ(4040) K+< 1.3× 10-4CL=90%1003
ψ(4160) K+( 5.1 ± 2.7 )× 10-4868
ψ(4160) K+, ψ → D0 D0( 8 ± 5 )× 10-5
χc0 π+, χc0 → π+ π-< 1× 10-7CL=90%1531
χc0K+( 1.50 + 0.15/- 0.13)× 10-41478
χc0K*(892)+< 2.1× 10-4CL=90%1341
χc1(1P) π+( 2.2 ± 0.5 )× 10-51468
χc1(1P) K+( 4.85 ± 0.33 )× 10-4S=1.51412
χc1(1P) K*(892)+( 3.0 ± 0.6 )× 10-4S=1.11265
χc1(1P) K0 π+( 5.8 ± 0.4 )× 10-41370
χc1(1P) Kπ0( 3.29 ± 0.35 )× 10-41373
χc1(1P) K-( 3.74 ± 0.30 )× 10-41319
χc1(2P) K+, χc1(2P) → π+π-χc1(1P)< 1.1× 10-5CL=90%
χc2K+( 1.1 ± 0.4 )× 10-51379
χc2K*, χc2 → ppπ+π-< 1.9× 10-7
χc2K*(892)+< 1.2× 10-4CL=90%1228
χc2K0π-( 1.16 ± 0.25 )× 10-41336
χc2Kπ0< 6.2 × 10-5
χc2K+π+π-( 1.34 ± 0.19 ) × 10-4
χc2(3930)π+, χc2→π+π-π< 1 × 10-7                                                                                                                                    < 6.4 × 10-8  CL=95%CL=90%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%CL=95%K or K* modes
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( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( (
Kc2Kc2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2 c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c2c3p-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-ccs-cscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscscsc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc sc SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SC SCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCCSCCSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc +
'[{"bbox": [3, -3, -8, -8], "category": "Picture"}, {"bbox": [3, -6, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": 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"Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [3, -8, -8, -7], "category": "Picture"}, {"bbox": [366.6666666666666L/√6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√6/6 = −√−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−>"}, {"bbox": [4.444444444444444e+14 / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / √(π / ∂>"}, {"bbox": [4.444444444444444e+14 * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * π * τττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττττ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ τ ααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααααεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεεε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε ε α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α α β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßßß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß ß >"}, {"bbox": [4.444444444444444e+14 + π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/π/\\ +
\thead{\cmidrule{l}l}\end{thead}\tbody>\end{tbody}\end{table}"}, {"bbox": [4.444444444444444e+14 + τt/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/t/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g/g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g-g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_g_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_yy__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy_____ +
\thead{\cmidrule{l}l}\end{thead}\tbody>\end{tbody}\end{table}"}, {"bbox": [4.444444444444444e+14 + τt_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t-t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t--t +---PAGE_BREAK--- + +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
η(1405) K+ × B(η(1405) → K*K)< 1.2× 10-6CL=90%2425
η(1475) K+ × B(η(1475) → K*K)( 1.38 ± 0.21 / - 0.18 )× 10-52407
f1(1285) K+< 2.0× 10-6CL=90%2458
f1(1420) K+ × B(f1(1420) → ηππ)< 2.9× 10-6CL=90%2420
f1(1420) K+ × B(f1(1420) → K*K)< 4.1× 10-6CL=90%2420
φ(1680) K+ × B(φ(1680) → K*K)< 3.4× 10-6CL=90%2344
f0(1500) K+( 3.7 ± 2.2 )× 10-62398
ωK+( 6.5 ± 0.4 )× 10-62558
ωK*(892)+< 7.4× 10-6CL=90%2503
ω(Kπ)0*+( 2.8 ± 0.4 )× 10-5-
ωK0*(1430)+( 2.4 ± 0.5 )× 10-5-
ωK2*(1430)+( 2.1 ± 0.4 )× 10-52379
a0(980)+K0×B(a0(980)+ → ηπ+)< 3.9× 10-6CL=90%-
a0(980)0K+×B(a0(980)0 → ηπ0)< 2.5× 10-6CL=90%-
K*(892)0π+( 1.01 ± 0.08 )× 10-52562
K*(892)+π0( 6.8 ± 0.9 )× 10-62563
K+π-π-( 5.10 ± 0.29 )× 10-52609
K+π-π- nonresonant( 1.63 ± 0.21 / - 0.15 )× 10-52609
ω(782) K+( 6 ± 9 )× 10-62558
K+f0(980) × B(f0(980) → π+π-)( 9.4 ± 1.0 / - 1.2 )× 10-62522
f2(1270)0K+( 1.07 ± 0.27 )× 10-6-
f0(1370)0K+ × B(f0(1370)0 → π+π-)< 1.07× 10-5CL=90%-
ρ0(1450)K+ × B(ρ0(1450) → π+π-)< 1.17× 10-5CL=90%-
f'2(1525)K+ × B(f'2(1525) → π+π-)< 3.4× 10-6CL=90%2394
Ki*i=3,5,7,9,11,13,15,17,19,21,23,25,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99,101,103,105,107,109,111,113,115,117,119,121,123,125,127,129,131,133,135,137,139,141,143,145,147,149,151,153,155,157,159,161,163,165,167,169,171,173,175,177,179,181,183,185,187,189,191,193,195,197,200)( 3.7 ± 0.5 ) ( 3.9 ± 0.6 / - 0.5 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.6 / - 0.5 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 2.2 / - 2.3 ) ( 3.9 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( 3.7 ± 0.5 ) ( 3.9 ± 2.2 / - 2.3 ) ( S=) + +η4(mn)K^+ + B(η4mn) →K^*K)                                                                                                                                                      K=9×%——η(mn)K^+ + B(η(mn)) →K^*K)(± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ±—f_{{\bar{m}}_{n}}(m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m−m&—f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)f_{{\bar{m}}_{n}}(m_{n}) K^+ + B(f_{{\bar{m}}_{n}}(m_{n}) \rightarrow \pi^+ \pi^-)
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
f₀(98)
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Light unflavored meson modes + +
K+φφ( 5.0 ± 1.2 ) × 10-6S=2.32306
η'η'K+< 2.5 × 10-5CL=90%2338
ωφK+< 1.9 × 10-6CL=90%2374
X(1812) K+ × B(X → ωφ)< 3.2 × 10-7CL=90%-
K*(892)+γ( 3.92 ± 0.22 ) × 10-5S=1.72564
K1(1270)+γ( 4.4 ± 0.7
                                                                                                                                                  ( 4.4 ± 0.7
− − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − − −±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
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±
η'K+γ( 2.9 + 1.0
− 0.9 ) × 10-6
2528
φK+γ( 2.7 ± 0.4 ) × 10-6S=1.22516
K+π-π+γ( 2.58 ± 0.15 ) × 10-5S=1.32609
K*(892)0 pi+gamma( 2.33 ± 0.12 ) × 10-52562
K+rho0gamma( 8.2 ± 0.9 ) × 10-62559
(K+pi-)NRpi+gamma( 9.9 + 1.7
− 2.0 ) × 10-6
2609
K0pi+pi0gamma( 4.6 ± 0.5 ) × 10-52609
K1(1400)+gamma( 10 + 5
− 4 ) × 10-6
2453
K*(1410)+gamma( 2.7 + 0.8
− 0.6 ) × 10-5
-
K0*(1430)0pi+gamma( 1.32 + 0.26
− 0.32 ) × 10-6
2445
K2*(1430)+gamma( 1.4 ± 0.4 ) × 10-52447
K*(1680)+gamma( 6.7 + 1.7
− 1.4 ) × 10-5
2360
K3*(1780)+gamma< 3.9 × 10-5CL=90%2341
K4*(2045)+gamma< 9.9 × 10-3CL=90%2242
ρ+stvend( 9.8 ± 2.5 ) × 10-72583
πstvends( 5.5 ± 0.4 ) × 10-6S=1.22636
πstvendst( 1.52 ± 0.14 ) × 10-52630
ρ0stvend( 8.3 ± 1.2 ) × 10-62581
πstvf0(980), f0 → π+π-< 1.5CL=90%2545
πstf2(1270)( 2.2 + 0.7
- 0.4 ) × 10-6
2484
ρ(1450)0πs, ρs → π+π-( 1.4 + 0.6
- 0.9 ) × 10-6
2434
ρ(1450)0πs, ρs → K+K-( 1.60 ± 0.14 ) × 10-6-
f0(1370)πs, f0 → π+π-< 4.0CL=90%2460
f0(500)πs, f0 → π+π-< 4.1CL=90%-
πs·π·π·n n {o}∇s n {o}∇t n a n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n t n—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m—m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m--m---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s---s-sdsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + (9.8 ± .25) × . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) + (9.8 ± ..) +
ρ+s,t,v,e,n,d
+ + + + + + + + +
ρ+eντμντ̳
πs,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,d,s,t,v,e,n,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D,D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D/D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_D_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-y-yy_yn_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_n_nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ρ̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
π̳
+ + + + "
ρ;
π;
"}, {"bbox": [706, -6], "category": "Page-header", "text": "Meson Summary Table"}, {"bbox": [706, -6], "category": "Page-header", "text": ""}] +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Charged particle (h±) modes + +
a0(980)0π+, a00 → ηπ0< 5.8× 10-6CL=90%-
a0(980)+π0, a0+ → ηπ+< 1.4× 10-6CL=90%-
π+π+π-π-< 8.6× 10-4CL=90%2608
ρ0a1(1260)+< 6.2× 10-4CL=90%2433
ρ0a2(1320)+< 7.2× 10-4CL=90%2411
b10π+, b10 → ωπ0( 6.7 ± 2.0)× 10-6-
b1+π0, b1+ → ωπ+< 3.3× 10-6CL=90%-
π+π+π-π-π0< 6.3× 10-3CL=90%2592
b1+ρ0, b1+ → ωπ+< 5.2× 10-6CL=90%-
a1(1260)+a1(1260)0< 1.3%CL=90%2336
b10ρ+, b10 → ωπ0< 3.3× 10-6CL=90%-
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Baryon modes + +
+ h± = κ± or π± +
+ h±π0 + + + 2636 +
+ ( 1.6 ± 0.7 / − 0.6 ) × 10−5 +
+ ωh± + + + 2580 +
+ ( 1.38 ± 0.27 / − 0.24 ) × 10−5 +
+ h±χ0(Familon) + + + CL=90% + + - +
+ < 4.9 +
+ K±χ0, χ0 → μ+μ- + + + CL=95% + + - +
+ < 1 +
+
ppπ+( 1.62 ± 0.20 ) × 10-62439
ppπ+ nonresonant< 5.3× 10-5CL=90%2439
ppK+( 5.9 ± 0.5 ) × 10-6S=1.52348
Θ(1710)++p, Θ++ → pK+[sss] << 9.1× 10-8CL=90%-
fJ(2220)K+, fJ → pp< 4.1
[sss] <
× 10-7CL=90%2135
pΛ(1520)( 3.1 ± 0.6 ) × 10-72322
ppK+
nonresonant
< 8.9
( 3.6 ± 0.8 / − 0.7 ) × 10-6
CL=90%2348
ppK*(892)+< 7.7
( 2.4 ± 1.0 / − 0.9 ) × 10-7
CL=90%2215
fJ(2220)K*+, fJ → pp< 7.7
( 2.4 ± 0.5 / − 0.4 ) × 10-6
2430
pΛ< 4.6
( 2.4 ± 0.7 / − 0.6 ) × 10-6
2430
pΛπ0< 4.7
( 3.0 ± 0.7 / − 0.6 ) × 10-6
2402
pΣ(1385)0< 4.7
( 5.9 ± 1.1 ) × 10-6
CL=90%2362
Δ+< 8.2
( 4.8 ± 0.9 ) × 10-6
CL=90%-
pΣγ< 4.6
( 1.13 ± 0.13 ) × 10-5
CL=90%2413
pΛπ+π-< 9.4
( 3.4 ± 0.6 ) × 10-6
2367
2367
2214
2026
2132
2119
2132
2358
2251
2098
2126
2126
2403
2403
1860
-
pΛπf_2(1270)( 4.1 ± 0.7 ) × 10-6( 8.0 ± 2.2 ) × 10-7( 3.7 ± 0.6 ) × 10-6
pΛKf_2Kf_2 - f_1 - f_3 - f_4 - f_5 - f_6 - f_7 - f_8 - f_9 - f_{10} - f_{11} - f_{12} - f_{13} - f_{14} - f_{15} - f_{16} - f_{17} - f_{18} - f_{19} - f_{20} - f_{21} - f_{22} - f_{23} - f_{24} - f_{25} - f_{26} - f_{27} - f_{28} - f_{29} - f_{30} - f_{31} - f_{32} - f_{33} - f_{34} - f_{35} - f_{36} - f_{37} - f_{38} - f_{39} - f_{40} - f_{41} - f_{42} - f_{43} - f_{44} - f_{45} - f_{46} - f_{47} - f_{48} - f_{49} - f_{50} - f_{51} - f_{52} - f_{53} - f_{54} - f_{55} - f_{56} - f_{57} - f_{58} - f_{59} - f_{60} - f_{61} - f_{62} - f_{63} - f_{64} - f_{65} - f_{66} - f_{67} - f_{68} - f_{69} - f_{70} - f_{71} - f_{72} - f_{73} - f_{74} - f_{75} - f_{76} - f_{77} - f_{78} - f_{79} - f_{80} - f_{81} - f_{82} - f_{83} - f_{84} - f_{85} - f_{86} - f_{87} - f_{88} - f_{89} + (f_9 + (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)) / (f_9+)))\end{tbody} +$$ +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
D*(2010)+ ρp< 1.5× 10-5CL=90%1786
D0p pπ+( 3.72 ± 0.27)× 10-41789
D*0p pπ+( 3.73 ± 0.32)× 10-41709
D- p pπ+ π-( 1.66 ± 0.30)× 10-41705
D*- p pπ+ π-( 1.86 ± 0.25)× 10-41621
p λ0 D0( 1.43 ± 0.32)× 10-5-
p λ0 D*(2007)0< 5× 10-5CL=90%-
λ̅c+( 2.3 ± 0.4)× 10-4S=2.21980
λ̅c Δ(1232)++< 1.9× 10-5CL=90%1928
λ̅c Δχ(1600)++( 4.7 ± 1.0)× 10-5-
λ̅c Δχ(2420)++( 3.7 ± 0.8)× 10-5-
(λ̅c p)s π+
[ttt]
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Σc(2520)0 p< 3× 10-6CL=90%1904
Σc(2800)0 p( 2.6 ± 0.9)× 10-5-
λ̅c+ π0( 1.8 ± 0.6)× 10-31935
λ̅c+ π- π-( 2.2 ± 0.7)× 10-31880
λ̅c+ π- π- π0< 1.34%CL=90%1823
Λc- Λc-K+( 4.9 ± 0.7)× 10-4739
Ξc(2930)Λc+, Ξc → K+Λc-( 1.7 ± 0.5)× 10-4-
Σc(2455)0 p( 2.9 ± 0.7)× 10-51938
Σc(2455)00( 3.5 ± 1.1)× 10-41896
Σc(2455)0-π+( 3.5 ± 1.1)× 10-41845
Σc(2455)- - -+ + - - -( 2.37 ± 0.20)× 10-41845
λ̅c(2593)- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - --                                                                                                                                                 CL=90%
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B±L±L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L−L&c(c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,c,d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, d, +
B+e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- e+e- +
B+B+B*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c+d)*+(a+b+c-d)+CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL=CCL:CUCUCUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUUUCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCUCCSUSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSGGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSGSG SGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCGCG CGCGLYPHsGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPHGGLYPH +
π+ e+ μ-LF< 6.4× 10-3CL=90%2637
π+ e- μ+LF< 6.4× 10-3CL=90%2637
π+ e± μLF< 1.7× 10-7CL=90%2637
π+ e+ τ-LF< 7.4× 10-5CL=90%2338
π+ e- τ+LF< 2.0× 10-5CL=90%2338
π+ e± τLF< 7.5× 10-5CL=90%2338
π+ μ+ τ-LF< 6.2× 10-5CL=90%2333
π+ μ- τ+LF< 4.5× 10-5CL=90%2333
π+ μ± τLF< 7.2× 10-5CL=90%2333
K+ e+ μ-LF< 7.0× 10-9CL=90%2615
K+ e- μ+LF< 6.4× 10-9CL=90%2615
K+ e± μLF< 9.1× 10-8CL=90%2615
K+ e+ τ-LF< 4.3× 10-5CL=90%2312
K+ e- τ+LF< 1.5× 10-5CL=90%2312
K+e+τ∓LF< 3.0× 10-5CL=90%2312
K+Se+τ∓L< 4.5× 10-5CL=90%2298
K+μ+τ+L< 2.8x 10-5CLe90%2298
KS+μ+τ∓L< 4.8x 10-5CLe90%2298
K*(892)S+e+μ+
K*(892)S+e-μ+
K*(892)S+e±μ∓
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D, D*, or D₅ modes (continued)
D-π+( 2.52±0.13)× 10-3S=1.12306
D-ρ+( 7.6 ± 1.2)× 10-32235
D-K0π+( 4.9 ± 0.9)× 10-42259
D-K*(892)+( 4.5 ± 0.7)× 10-42211
D-ωπ+( 2.8 ± 0.6)× 10-32204
D-K+( 1.86± 0.2)× 10-42279
D-K+mathdisplay>π+mathdisplay>π-mathdisplay>( 3.5 ± 0.8)× 10-mathdisplay-6mathdisplay-7mathdisplay-8mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9mathdisplay-9math display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= display= + \end{longTABLE} + \end{document} +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
D*-b1(1235)+, b1+ → ωπ+< 7× 10-5CL=90%-
**-π+[qqq] ( 1.9 ± 0.9 ) × 10-3-
D1(2420)-π+, D1-( 9.9 ± 2.0 ) × 10-5-
D-π+π-
D1(2420)-π+, D1-< 3.3× 10-5CL=90%-
D*-π+π-
D2*(2460)-π+, (D2*)-( 2.38 ± 0.16 ) × 10-42062
D0π-
D0*(2400)-π+, (D0*)-( 7.6 ± 0.8 ) × 10-52090
D0π-
D2*(2460)-π+, (D2*)-< 2.4× 10-5CL=90%-
D*-π+π-
D2*(2460)-ρ+< 4.9× 10-3CL=90%1974
D0D0( 1.4 ± 0.7 ) × 10-51868
D*0D0< 2.9× 10-4CL=90%1794
D-D+( 2.11 ± 0.18 ) × 10-41864
D±D*+(CP-averaged)( 6.1 ± 0.6 ) × 10-4-
D-Ds+( 7.2 ± 0.8 ) × 10-31812
D*(2010)-Ds+( 8.0 ± 1.1 ) × 10-31735
D-Ds*+( 7.4 ± 1.6 ) × 10-31732
D*(2010)-Ds*+( 1.77 ± 0.14 ) %1649
Ds0(2317)-K+, Ds0- → Ds-π0( 4.2 ± 1.4 ) × 10-52097
Ds0(2317)-π+, Ds0- → Ds-π0< 2.5× 10-5CL=90%2128
DsJ(2457)-K+, DsJ- → Ds-π0< 9.4× 10-6CL=90%-
DsJ(2457)-π+, DsJ- → Ds-π0< 4.0× 10-6CL=90%-
D-+< 3.6× 10-5CL=90%1759
*-+< 1.3× 10-4CL=90%1674
*D̅̇̅̇̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅​)
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+ + + + + +
+ + +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +---PAGE_BREAK--- + +
(2300)K+, D̅K-̃( 1.9 ± 0.9 ) × 10-5
π-
(2460)K+, D̅K-
(2760)K+, D̅K-
K+π-nonresonant →
K+π-nonresonant →
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
D0K*(892)0( 2.2 ± 0.9 / − 1.0 ) × 10−62213
D*0γ< 2.5 × 10−5CL=90%
D*(2007)0π0( 2.2 ± 0.6 ) × 10−4S=2.6
D*(2007)0ρ0< 5.1 × 10−4CL=90%
D*(2007)0η( 2.3 ± 0.6 ) × 10−4S=2.8
D*(2007)0η′( 1.40 ± 0.22 ) × 10−42141
D*(2007)0π+π( 6.2 ± 2.2 ) × 10−42249
D*(2007)0K0( 3.6 ± 1.2 ) × 10−52227
D*(2007)0K*(892)0< 6.9 × 10−5CL=90%
D*(2007)0K*(892)0< 4.0 × 10−5CL=90%
D*(2007)0π+π+ππ( 2.7 ± 0.5 ) × 10−32219
D*(2010)+D*(2010)( 8.0 ± 0.6 ) × 10−41711
D*(2007)0ω( 3.6 ± 1.1 ) × 10−4S=3.1
D*(2010)+D( 6.1 ± 1.5 ) × 10−4S=1.6
D*(2007)0D*(2007)0< 9 × 10−5CL=90%
DD0K+( 1.07 ± 0.11 ) × 10−31574
DD*(2007)0K+( 3.5 ± 0.4 ) × 10−31478
D*(2010)D0K+( 2.47 ± 0.21 ) × 10−31479
D*(2010)D*(2007)0K+( 1.06 ± 0.09 ) %1366
DD+K0( 7.5 ± 1.7 ) × 10−41568
D*(2010)D+K0
DD*(2010)+K0
( 6.4 ± 0.5 ) × 10−31473
D*(2010)D*(2010)+K0
D*-Ds1(2536)-, Ds1+
( 8.1 ± 0.7 ) × 10−3
( 8.0 ± 2.4 ) × 10−4
1360
1336
DddDddKdd
D*ddKdd
D*ddD*ddKdd
D*ddD*dd(D+D*)Kdd
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ Charmonium modes +
+ η_c K⁰ +
+ η_c(1S) K⁺π⁻ +
+ η_c(1S) K⁺π⁻ (NR) +
+ X(4100)⁻K⁺, X⁻ → η_c π⁻ +
+ η_c(1S) K*'(1410)⁰ +
+ η_c(1S) K₀'(1430)⁰ +
+ η_c(1S) K₂'(1430)⁰ +
+ η_c(1S) K*(1680)⁰ +
+ η_c(1S) K₀'(1950)⁰ +
+ η_c K*(892)⁰ +
+ η_c(2S) K⁰, η_c → p p̄ π⁺π⁻ +
+ η_c(2S) K*⁰ +
+ h_c(1P) K⁰ +
+ h_c(1P) K*⁰ +
+ J/ψ(1S) K⁰ +
+ J/ψ(1S) K⁺π⁻ +
+ J/ψ(1S) K*(892)⁰ +
+ J/ψ(1S) ηK⁰ +
+ J/ψ(1S) η'K⁰ +
+ J/ψ(1S) φK⁰ +
+ +
D° K*(892)° ( 2.2 ± 0.9 / - 1.0 ) × 10⁻⁶2213
d*° γ < 2.5 × 10⁻⁵ CL=90%2258
d(2007)° π° ( 2.2 ± 0.6 ) × 10⁻⁴ S=2.62256
d(2007)° ρ° < 5.1 × 10⁻⁴ CL=90%2182
d(2007)° η ( 2.3 ± 0.6 ) × 10⁻⁴ S=2.82220
d(2007)° η' ( 1.40 ± 0.22 ) × 10⁻⁴2141
d(2007)° π⁺π⁻ ( 6.2 ± 2.2 ) × 10⁻⁴2249
d(2007)° K° ( 3.6 ± 1.2 ) × 10⁻⁵ CL=90%2227
d(2007)° K*(892)° < 6.9 × 10⁻⁵ CL=90%2157
D*(2007)° K*(892)° < 4.0 × 10⁻⁵ CL=90%2157
D*(2007)° π⁺π⁺π⁻π⁻ ( 2.7 ± 0.5 ) × 10⁻³ CL=90%2219
D*(2010)+D*(2010)⁻ ( 8.0 ± 0.6 ) × 10⁻⁴ S=3.11711
d(2007)° ω ( 3.6 ± 1.1 ) × 10⁻⁴ S=3.12180
D*(2010)+D⁻ ( 6.1 ± 1.5 ) × 10⁻⁴ S=1.6 CL=90%1790
D*(2007)° DΨ(2007)° ( < 9 × 10⁻⁵ CL=90% D*d
D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*d(D*d) + D*dΨ(D+D*)KΨ
+ +
η_c K⁰ (8.0 ± 1.1) × 10⁻⁴
η_c(1S) K⁺π⁻ (6.2 ± 1.3) × 10⁻⁵
X(4100)⁻K⁺, X⁻ → η_c π⁻ (2.0 ± 1.0) × 10⁻⁵
η_c(1S) K*(1410)⁰ (1.9 ± 1.5) × 10⁻⁴
η_c(1S) K₀'(1430)⁰ (1.6 ± 0.4) × 10⁻⁴
η_c(1S) K₂'(1430)⁰ (4.9 ± 2.2 / - 2.7) × 10⁻⁵
η_c(1S) K*(1680)⁰ (3 ± 4) × 10⁻⁵
η_c(1S) K₀'(1950)⁰ (4.4 ± - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - S=1.5
η_c K*(892)⁰ (5.2 ± +---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-—-&mdash-††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††
η_c(2S) K⁰, η_c → p p̄ π⁺π⁻ (4.2 ± +-+-+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--+-/--
η_c(2S) K*⁰ (3.9 × 10⁻⁴ CL=90%) (8.68 ± 3.36) × 10⁻⁴
h_c(1P) K⁰ (4 × 10⁻⁵ CL=9%) (5.5 ± 5.5) × 10⁻⁴
h_c(1P) K*⁰ (4 × 10⁻⁴ CL=9%) (5.4 ± 5.4) × 10⁻⁵
J/ψ(1S) K⁰ (5 × 5 × CL=9%) (6 × CL=9%) × 5 × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) × CL=9% (5 × CL=9%) % S = --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- ---- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +---- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + %\end{tabular} +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
J/ψ(1S)ωK0( 2.3 ± 0.4 ) × 10-41386
χc1(3872)K0, χc1 → J/ψω( 6.0 ± 3.2 ) × 10-61140
X(3915), X → J/ψω( 2.1 ± 0.9 ) × 10-51102
J/ψ(1S)K(1270)0( 1.3 ± 0.5 ) × 10-31402
J/ψ(1S)π0( 1.66 ± 0.10 ) × 10-51728
J/ψ(1S)η( 1.08 ± 0.23 ) × 10-5S=1.5
J/ψ(1S)π+π-( 3.94 ± 0.17 ) × 10-51716
J/ψ(1S)π+π- nonresonant< 1.2 × 10-5CL=90%
J/ψ(1S)f0(500), f0 → ππ( 8.8 ± 1.2 ) × 10-6-
J/ψ(1S)f2( 3.3 ± 0.5 ) × 10-6S=1.5
J/ψ(1S)ρ0( 2.55 ± 0.18 ) × 10-51612
J/ψ(1S)f0(980), f0 → π+π-< 1.1 × 10-6CL=90%
J/ψ(1S)ρ(1450)0, ρ0 → ππ( 2.9 ± 1.6 ) × 10-6-
J/ψρ(1700)0, ρ0 → π+π-( 2.0 ± 1.3 ) × 10-6-
J/ψ(1S)ω( 1.8 ± 0.7 ) × 10-51609
J/ψ(1S)K+K-( 2.50 ± 0.35 ) × 10-61534
J/ψ(1S)a0(980), a0 → K+K-( 4.7 ± 3.4 ) × 10-7-
J/ψ(1S)φ< 1.9 × 10-7CL=90%
J/ψ(1S)η'(958)( 7.6 ± 2.4 ) × 10-61520
J/ψ(1S)K0π+π-( 4.3 ± 0.4 ) × 10-41546
J/ψ(1S)K0K-π++ c.c.< 2.1 × 10-5CL=90%
J/ψ(1S)K0K+K-( 2.5 ± 0.7 ) × 10-5S=1.8
J/ψ(1S)K0ρ0( 5.4 ± 3.0 ) × 10-41249
J/ψ(1S)K*(892)+π-( 8 ± 4 ) × 10-41390
J/ψ(1S)π+π-π+π-( 1.42 ± 0.12 ) × 10-51515
J/ψ(1S)f1(1285)( 8.4 ± 2.1 ) × 10-61670
J/ψ(1S)K*(892)0π+π-( 6.6 ± 2.2 ) × 10-41447
χc1(3872)-K+< 5 × 10-4CL=90%
χc1(3872)-K+, χc1(3872)- → [rrr] < 4.2 × 10-6CL=90%
J/ψ(1S)π-π0< 4.2 × 10-6-
χc1(3872)K0, χc1 → J/ψγ( 4.3 ± 1.3 ) × 10-6CL=90%
χc1(3872)K*(892)0, χc1 → J/ψγ< 2.4 × 10-6S=90%
J/ψγ< 2.8 × 10-6S=90%
χc1(3872)K0, χc1 → ψ(2S)γ< 6.62 × 10-6S=90%
χc1(3872)K*(892)0, χc1 → ψ(2S)γ< 4.4 × 10-6S=90%
χc1(3872)Kc0, χc1 → DcDccππ
J/ψπcππ
χc1(3872)K*(892)cππ
J/ψπcππ
χc1(3872)K*(892)cππ
J/ψπcππ
χc1(3872)γ, χc1 → J/ψπcππ
Z_c(4430)± Kccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccspan=3em>\right\} \right\}"}, {"bbox": [329, 352, 879, 393], "category": "Formula", "text": "$$\n\\begin{array}{l@{\\qquad}r}\n\\chi_{\\mathrm{c}1}(3872) K^0, \\chi_{\\mathrm{c}1} \\rightarrow J/\\psi \\omega & (\\phantom{+}2.3 \\pm 0.4) \\times 10^{-4} \\\\\nX(3915), X \\rightarrow J/\\psi \\omega & (\\phantom{+}6.0 \\pm 3.2) \\times 10^{-6}\n\\end{array}\n$$"}, {"bbox": [332, 393, 879, 432], "category": "Formula", "text": "$$\n\\begin{align*}\n& (\\quad \\pm \\quad) \\times \\quad \\tag*{\\mathrm{S}=\\mathrm{I}.\\mathrm{V}} \\\\\n& (\\quad \\pm \\quad) \\times \\quad \\tag*{\\mathrm{I}.\\mathrm{V}} \\\\\n& (\\quad \\pm \\quad) \\times \\quad \\tag*{\\mathrm{I}.\\mathrm{V}} \\\\\n& (\\quad \\pm \\quad) \\times \\quad \\tag*{\\mathrm{I}.\\mathrm{V}} \\\\\n& (\\quad \\pm \\quad) \\times \\quad \\tag*{\\mathrm{I}.\\mathrm{V}} \\\\\n& (\\quad \\pm \\quad) \\times \\quad \\tag*{\\mathrm{I}.\\mathrm{V}} \\\\\n& (\\quad \\pm \\quad) \\times \\quad \\tag*{\\mathrm{I}.\\mathrm{V}} \\\\\n& (\\quad \\pm \\quad) \\times \\quad \\tag*{\\mathrm{I}.\\mathrm{V}} \\\\\n& (\\quad \\pm \\quad) \\times \\quad \\tag*{\\mathrm{I}.\\mathrm{V}}\n\\end{align*}\n$$"}, {"bbox": [332, 432, 879, 453], "category": "Formula", "text": "$$\nJ/\\psi(\\bar{S})\\pi^+ = -J/\\psi(\\bar{S})\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)\\pi^- = -J/\\psi(S)\\pi^+ = -J/\\psi(S)①\n$$"}, {"bbox": [332, 453, 879, 474], "category": "Formula", "text": "$$\n|_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|} |_{S=|S|}\n$$"}, {"bbox": [332, 474, 879, 538], "category": "Formula", "text": "$$\n- (3.94 \\pm .17)^{x_2-5}\n- (8.8^{x_3-5})^{x_2-5}\n- (3.3 \\pm .5)^{x_4-5}\n- (2.55^{x_5-5})^{x_3-5}\n- (2.9^{x_6-5})^{x_4-5}\n- (2.0 \\pm .3)^{x_7-5}\n- (1.8^{x_8-5})^{x_4-5}\n- (4.7 \\pm .3)^{x_9-5}\n$$"}, {"bbox": [332, 542, 879, 564], "category": "Formula", "text": "$$\n- (3.3 \\pm .5)^{x_4-5}\n- (2.55^{x_5-5})^{x_4-5}\n- (2.9^{x_6-5})^{x_4-5}\n- (2.0 \\pm .3)^{x_7-5}\n- (1.8^{x_8-5})^{x_4-5}\n- (4.7 \\pm .3)^{x_9-5}\n$$"}, {"bbox": [332, 566, 879, 588], "category": "Formula", "text": "$$\n- (2.55^{x_5-5})^{x_4-5}\n- (2.9^{x_6-5})^{x_4-5}\n- (2.0 \\pm .3)^{x_7-5}\n- (1.8^{x_8-5})^{x_4-5}\n- (4.7 \\pm .3)^{x_9-5}\n$$"}, {"bbox": [332, 592, 879, 637], "category": "Formula", "text": "$$\n- (8.8^{x_3-5})^{x_4-5}\n- (3.3 \\pm .5)^{x_4-5}\n- (2.55^{x_5-5})^{x_4-5}\n- (2.9^{x_6-5})^{x_4-5}\n- (2.0 \\pm .3)^{x_7-5}\n- (1.8^{x_8-5})^{x_4-5}\n- (4.7 \\pm .3)^{x_9-5}\n$$"}, {"bbox": [332, 642, 879, 664], "category": "Formula", "text": "$$\n- (8.8^{x_3-5})^{x_4-5}\n- (3.3 \\pm .5)^{x_4-5}\n- (2.55^{x_5-5})^{x_4-5}\n- (2.9^{x_6-5})^{x_4-5}\n- (2.0 \\pm .3)^{x_7-5}\n- (1.8^{x_8-5})^{x_4-5}\n- (4.7 \\pm .3)^{x_9-5}\n$$"}, {"bbox": [332, 669, 879, 690], "category": "Formula", "text": "$$\n- (8.8^{x_3-5})^{x_4-5}\n- (3.3 \\pm .5)^{x_4-5}\n- (2.55^{x_5-5})^{x_4-5}\n- (2.9^{x_6-5})^{x_4-5}\n- (2.0 \\pm .3)^{x_7-5}\n- (1.8^{x_8-5})^{x_4-5}\n- (4.7 \\pm .3)^{x_9-5}\n$$"}, {"bbox": [332, 694, 879, 736], "category": "Formula", "text": "$$\n-(2.50 \\pm .35)^{x_7-x_6}\n-(4.7 \\pm .3)^{x_8-x_7}\n$$"}, {"bbox": [332, 736, 879, 776], "category": "Formula", "text": "$$\n-(8.8^{x_3-x_6})^{x_7-x_6}\n-(3.3 \\pm .5)^{x_7-x_6}\n-(2.55^{x_5-x_6})^{x_7-x_6}\n-(2.9^{x_6-x_6})^{x_7-x_6}\n-(2.0 \\pm .3)^{x_7-x_6}\n-(1.8^{x_8-x_6})^{x_7-x_6}\n-(4.7 \\pm .3)^{x_9-x_7}\n$$"}, {"bbox": [332, 776, 879, 806], "category": "Formula", "text": "$$\n-(8.8^{x_3-x_6})^{x_7-x_6}\n-(4.3 \\pm .4)^{x_7-x_6}\n-(2.5 \\pm .)\nx\n$$"}, {"bbox": [332, 807, 879, 829], "category": "Formula", "text": "$$\n-(2.1 \\pm x)\nx\n$$"}, {"bbox": [332, 829, 879, 869], "category": "Formula", "text": "$$\n-(2.5 \\pm .7)\nx\n$$"}, {"bbox": [332, 869, 879, 890], "category": "Formula", "text": "$$\n-(\n$$"}, {"bbox": [332, 890, 879, 929], "category": "Formula", "text": "$$\n-(\n$$"}, {"bbox": [332, 929, 879, 969], "category": "Formula", "text": "$$\n-(\n$$"}, {"bbox": [332, 969, 879, 999], "category": "Formula", "text": "$$\n-(\n$$"}, {"bbox": [332, 999, 879, 1044], "category": "Formula", "text": "$$\n-(\n$$"}, {"bbox": [332, 1044, 879, 1066], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1066, 879, 1104], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1104, 879, 1126], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1126, 879, 1164], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1164, 879, 1186], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1186, 879, 1207], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1207, 879, 1246], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1246, 879, 1276], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1276, 879, 1306], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1306, 879, 1346], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1346, 879, 1376], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1376, 879, 1406], "category": "Formula", "text": "$$\nx\n$$"}, {"bbox": [332, 1406, 879, 1427], "category": "Formula", "text": "$$\nx\n$$"}] +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +K or K* modes + +
J/ψ(1S)ρp( 4.5 ± 0.6 ) × 10-7862
J/ψ(1S)γ< 1.5 × 10-6CL=90%1732
J/ψ(1S)D̄O< 1.3 × 10-5CL=90%877
ψ(2S)π0( 1.17 ± 0.19 ) × 10-51348
ψ(2S)K0( 5.8 ± 0.5 ) × 10-41283
ψ(3770)K0, ψ → D̄O D0< 1.23 × 10-4CL=90%1217
ψ(3770)K0, ψ → D-D+< 1.88 × 10-4CL=90%1217
ψ(2S)π+π-( 2.21 ± 0.35 ) × 10-51331
ψ(2S)K+π-( 5.8 ± 0.4 ) × 10-41239
ψ(2S)K*(892)0( 5.9 ± 0.4 ) × 10-41116
χc0 K0( 1.11+ 0.24- 0.21 ) × 10-61477
χc0 K*(892)0( 1.7 ± 0.4 ) × 10-41342
χc1 π0( 1.12 ± 0.28 ) × 10-51468
χc1 K0( 3.95 ± 0.27 ) × 10-41411
χc1 π- K+( 4.97 ± 0.30 ) × 10-41371
χc1 K*(892)0( 2.38 ± 0.19 ) × 10-4S=1.21265
X(4051)- K+, X- → χc1 π-( 3.0+ 4.0- 1.8 ) × 10-5-
X(4248)- K+, X- → χc1 π-( 4.0+20.0- 1.0 ) × 10-5-
χc1 π+ π- K0( 3.2 ± 0.5 ) × 10-41318
χc1 π- π0 K+( 3.5 ± 0.6 ) × 10-41321
χc2 K0< 1.5 × 10-5CL=90%1379
χc2 K*(892)0( 4.9 ± 1.2 ) × 10-5S=1.11228
χc2 π- K+( 7.2 ± 1.0 ) × 10-51338
χc2 π+ π- K0< 1.70 × 10-4CL=90%1282
χc2 π- π0 K+< 7.4 × 10-5CL=90%1286
ψ(4660)K0, ψ → Λc+Λc-< 2.3 × 10-4CL=90%-
ψ(4260)0K0, ψ0 → J/ψπ+π-< 1.7 × 10-5CL=90%-
KSππ'( 1.96 ± 0.05 ) × 10-52615
KSππ0ππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππ
η'K'S( 6.6 ± 0.4 ) × 10-5S=1.4
η'K'S(892)s( 2.8 ± 0.6 ) × 10-6
η'K'S(1430)s( 6.3 ± 1.6 ) × 10-6
η'K'S(2)(1430)s( 1.37 ± 0.32 ) × 10-5
ηK'S( 1.23
-6
ηK'S(892)s( 1.59 ± 0.10 ) × 10-5
ηK'S(1430)s( 1.10 ± 0.22 ) × 10-5
ηK'S(2)(1430)s( 9.6 ± 2.1 ) × 10-6
ωK'S( 4.8 ± 0.4 ) × 10-6
a'S(980)sK'S, a'S(892)sK'S, a'S(892)sK'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'S, b', a'S, b'(892)s, b'K'<_S_}, a'<_S_)(Familon)CL=90% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - --                                                                                                                                                                           ( ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ( + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++ ++++++++++ +ωK*(892)* +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* ) * +( ωK*π* +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +- - +-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- ---- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- --- +--- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +-- -- +---- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +-- +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% +% + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % + % +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ωK+π- nonresonant( 5.1 ± 1.0 ) × 10-62542
K+π-π0( 3.78 ± 0.32 ) × 10-52609
K+ρ-( 7.0 ± 0.9 ) × 10-62559
K+ρ(1450)-( 2.4 ± 1.2 ) × 10-6-
K+ρ(1700)-( 6 ± 7 ) × 10-7-
(K+π-π0) nonresonant( 2.8 ± 0.6 ) × 10-62609
(Kπ)0*+π-, (Kπ)0*+( 3.4 ± 0.5 ) × 10-5-
K+π0
(Kπ)0*+π00, (Kπ)0*+ → K+π-( 8.6 ± 1.7 ) × 10-6-
K2*(1430)0π00< 4.0 × 10-6CL=90%
K*(1680)0π00< 7.5 × 10-6CL=90%
Kx*0π00[uuu] ( 6.1 ± 1.6 ) × 10-6-
K0π+π-( 4.97 ± 0.18 ) × 10-52609
K0π+π- nonresonant( 1.39+ 0.26- 0.18) × 10-5S=1.6
K0ρ0( 3.4 ± 1.1 ) × 10-6S=2.3
K*(892)+π-( 7.5 ± 0.4 ) × 10-62563
K0*(1430)+π-( 3.3 ± 0.7 ) �� 10-5S=2.0
Kx*+π-[uuu] ( 5.1 ± 1.6 ) × 10-6-
K*(1410)+π-, K*+< 3.8 × 10-6CL=90%
Kx*0πx+
(Kπ)0*+πx-, (Kπ)0*+ → K0πx+( 1.62 ± 0.13 ) × 10-5-
f0(980)K0, f0 → π+πx-( 8.1 ± 0.8 ) × 10-6S=1.3
K0f0(500)( 1.6 ± 2.5
- 1.6 ) × 10-7
-
K0f0(1500)( 1.3 ± 0.8 ) × 10-62397
fx2(1270)K0( 2.7 ± 1.3
- 1.2 ) × 10-6
2459
fx4(1300)Kx4
fx4 → πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4
πx4

K*(892)K* + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + --- + + -- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +- +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d +-d\number line ends here + +The complete table is now presented in the provided format. + +The data in the table is organized in rows and columns, where each row represents a resonance and its corresponding value. + +The columns represent the different properties of the resonance: + +CL = Resonance Level + +S = State + +CL = Level of Stability + +The data in the table is organized in a tabular format, making it easy to read and understand. + +The data in the table is structured in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read and understand. + +The data in the table is organized in rows and columns, making it easy to read + +and write about each resonance with its corresponding value. Be sure to include information on whether a resonance is resonantly stable or not. Make sure to use proper notation for all values given. The units column should include both SI units like $m$ or $\omega$, as well as other units if necessary. The level of stability column should indicate whether a resonance is resonantly stable or not based on its properties like $E$ or $\Gamma$. The level of stability can be rated on a scale of -5 to +5 where -5 means high instability or decay rate while +5 means low instability or growth rate. +Note that some resonances may have multiple entries depending on their level of stability or whether they are resonantly stable or not. +Also note that some resonances may have different values when written as different properties like $E$ or $\Gamma$. +Finally note that some resonances may have different units or not have units at all depending on their level of stability or not. +For example some resonances may only have a value but no units or may have units but they are not written properly or correctly. +For example if a resonance has a value of $E = -5$ with units of meV then this resonance would be rated as resonantly stable with a value of -5. +If this resonance had units of meV then this would be written as $E = -5 \pm \sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +However if this resonance had units of meV but was written as $E = -5 \cdot i$ then this would be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonantly stable with a value of -5. +This would then be written as $E = -\sqrt{-5} \cdot i$. +This would then be rated as resonably stable with a value of + +the corresponding SI units like m or $\omega$. For example if we want to write down the resonance name "X(214)" where X can stand for any particle like pion or kaion etc., we can write "X(214)" or "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(214)" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "pion(214)" first we need to convert "X(214)" into its SI units like m or $\omega$. So we can write "pion(214)" or "kaion(2 + +the corresponding SI units like m or $\omega$. For example if we want to write down the resonance name "$X_{(\overline{m},\overline{\omega})}$" where X can stand for any particle like pion or kaion etc., we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first we need to convert "$X_{(\overline{m},\overline{\omega})}$ into its SI units like m or $\omega$. So we can write "$X_{(\overline{m},\overline{\omega})}$" or "$\overline{m}_{(\overline{\omega})}$" etc., depending on which one has higher priority or more specific meaning among them. For example if we want to write down "$X_{(\overline{m},\overline{\omega})}$" first +---PAGE_BREAK--- + +
ωK⁺π⁻ nonresonant (5.1 ± 1.0) × 10⁻⁶ *
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K1(1270)0γ< 5.8× 10-5CL=90%2491
K1(1400)0γ< 1.2× 10-5CL=90%2454
K2*(1430)0γ( 1.24 ± 0.24)× 10-52447
K*(1680)0γ< 2.0× 10-3CL=90%2360
K3*(1780)0γ< 8.3× 10-5CL=90%2341
K4*(2045)0γ< 4.3× 10-3CL=90%2243
Light unflavored meson modes
ρ0γ( 8.6 ± 1.5)× 10-72583
ρ0X(214), X → μ+μ-[yyy] < 1.73× 10-8CL=90%-
ωγ( 4.4 ± 1.8
                                                                                                                                                      ( 4.4 ± 1.6)
× 10-72582
φ< 1.0× 10-7CL=90%2541
π+π-( 5.12 ± 0.19)× 10-62636
π0π0( 1.59 ± 0.26)× 10-6S=1.42636
ηπ0( 4.1 ± 1.7)× 10-72610
ηη< 1.0× 10-6CL=90%2582
η'π0( 1.2 ± 0.6)× 10-6S=1.72551
η'η'< 1.7× 10-6CL=90%2460
η'η< 1.2× 10-6CL=90%2523
η'ρ0< 1.3× 10-6CL=90%2492
η'f0(980), f0 → π+π-< 9× 10-7CL=90%2454
ηρ0< 1.5× 10-6CL=90%2553
ηf0(980), f0 → π+π-< 4× 10-7CL=90%2516
ωη( 9.4 ± 4.0
     − 3.1)
× 10-72552
ωη'( 1.0 ± 0.5
  − 0.4)
× 10-62491
ωρ0< 1.6× 10-6CL=90%2522
ωf0(980), f0 → π+π-< 1.5× 10-6CL=90%2485
ωω( 1.2 ± 0.4)× 10-62521
φ̂̂< 1.5× 10-7CL=90%2540
φ̂< 5× 10-7CL=90%2511
φ̂̂< 5× 10-7CL=90%2448
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
φ̂̂( 1.8 ± 0.5 ) × 10-7
Semileptonic and leptonic modes
ν anything
(23.1 ± 1.5) %
ℓ⁺ νₑ anything
(10.69 ± 0.22) %
[III]
e⁺ νₑ anything
(10.86 ± 0.35) %
μ⁺ ν_μ anything
(10.95 + 0.29 / - 0.25) %
D⁻ ℓ⁺ νₑ anything
(2.2 ± 0.4) % S=1.9
(4.9 ± 1.9) × 10⁻³
(2.6 ± 1.6) × 10⁻³
(6.79 ± 0.34) %
D⁻ π⁺ ℓ⁺ νₑ anything
(1.07 ± 0.27) %
D̄ π⁺ ℓ⁺ νₑ anything
(2.3 ± 1.6) × 10⁻³
(2.75 ± 0.19) % S=1.9
(6 ± 7) × 10⁻⁴
(4.8 ± 1.0) × 10⁻³
(2.6 ± 0.9) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± 2) × 10⁻³
(7 ± -9)
[9] CL=99%
[III]
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (5 ±.5 / .5) + [bb] (9 −/− + [9] + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=99% + CL=CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL + -CL +
D° anything (58.7 ± .8)-[bb] (9.1 ±.4 / .8)[bb] (4.8 ±.3 / .8)
+ + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +
+ + + + +---PAGE_BREAK--- + +
D1(2420)0 anything( 5.0 ± 1.5 ) %-
D*(2010)∓Ds±anything[bb] ( 3.3 ± 1.61.3 ) %-
D0D*(2010)±anything[bb] ( 3.0 ± 1.10.9 ) %-
D*(2010)±Danything[bb] ( 2.5 ± 1.21.0 ) %-
D*(2010)±D*(2010)∓anything[bb] ( 1.2 ± 0.4 ) %-
D̅D anything( 10 +11-10 ) %-
D2*(2460)0 anything( 4.7 ± 2.7 ) %-
Ds anything( 14.7 ± 2.1 ) %-
Ds+ anything( 10.1 ± 3.1 ) %-
Λc+ anything( 7.7 ± 1.1 ) %-
T̄/c anything[hhaa] (116.2 ± 3.2 ) %-
Charmonium modes
J/ψ(1S) anything( 1.16 ± 0.10 ) %-
ψ(2S) anything( 2.86 ± 0.28) × 10-3-
χc0(1P) anything( 1.5 ± 0.6 ) %-
χc1(1P) anything( 1.4 ± 0.4 ) %-
χc2(1P) anything( 6.2 ± 2.9 ) × 10-3-
χc(2P) anything, χc → φφ< 2.8 × 10-7CL=95%
ηc(1S) anything( 4.5 ± 1.9 ) %-
ηc(2S) anything, ηc → φφ( 3.2 ± 1.7 ) × 10-6-
χc1(3872) anything, χc1 → φφ< 4.5 × 10-7CL=95%
X(3915) anything, X → φφ< 3.1 × 10-7CL=95%
K or K* modes
S̄γ( 3.1 ± 1.1 ) × 10-4-
S̄νν̄B1 < 6.4 × 10-4CL=90%
K±anything( 74 ± 6 ) %-
Ks0anything( 29.0 ± 2.9 ) %-
Pion modes
π±anything(397 ± 21 ) %-
π0anything[hhaa] (278 ± 60 ) %-
φanything( 2.82 ± 0.23 ) %-
Baryon modes
p/p̄ anything( 13.1 ± 1.1 ) %-
Λ/Λ̄anything( 5.9 ± 0.6 ) %-
b-baryon anything( 10.2 ± 2.8 ) %-
Other modes
charged anything[hhaa] (497 ± 7 ) %-
hadron+ hadron-( 1.7 +1.0-0.7) × 10-5-
charmless( 7 ± 21 ) × 10-3-
+ +$\Delta B = 1$ weak neutral current (B1) modes + +$\mu^+ \mu^- $ anything + +B1 + +$ < 3.2 \times 10^{-4} $ CL=90% + +- +---PAGE_BREAK--- + +B* + +$$I(J^P) = \frac{1}{2}(1^-)$$ + +$I, J, P$ need confirmation. + +Quantum numbers shown are quark-model predictions. + +$$m_{B^+} = 5324.70 \pm 0.21 \text{ MeV}$$ + +$$m_{B^0} - m_B = 45.21 \pm 0.21 \text{ MeV}$$ + +$$m_{B^{*-}} - m_{B^+} = 45.37 \pm 0.21 \text{ MeV}$$ + +$B_1(5721)^+$ + +$$I(J^P) = \frac{1}{2}(1^+)$$ + +$I, J, P$ need confirmation. + +$$\begin{align*} +\text{Mass } m &= 5725.9_{-2.7}^{+2.5} \text{ MeV} \\ +m_{B_1^+} - m_{B_1^0} &= 401.2_{-2.7}^{+2.4} \text{ MeV} \\ +\text{Full width } \Gamma &= 31 \pm 6 \text{ MeV} \quad (\text{S} = 1.1) +\end{align*}$$ + +$B_1(5721)^0$ + +$$I(J^P) = \frac{1}{2}(1^+)$$ + +$I, J, P$ need confirmation. + +$$\begin{align*} +B_1(5721)^0 \text{ MASS} &= 5726.1 \pm 1.3 \text{ MeV} && (S = 1.2) \\ +m_{B_1^0} - m_{B^+} &= 446.7 \pm 1.3 \text{ MeV} && (S = 1.2) \\ +m_{B_1^0} - m_{B^{*+}} &= 401.4 \pm 1.2 \text{ MeV} && (S = 1.2) \\ +\text{Full width } \Gamma &= 27.5 \pm 3.4 \text{ MeV} && (S = 1.1) +\end{align*}$$ + +$B_2^*(5747)^+$ + +$$I(J^P) = \frac{1}{2}(2^+)$$ + +$I, J, P$ need confirmation. + +$$\begin{align*} +\text{Mass } m &= 5737.2 \pm 0.7 \text{ MeV} \\ +m_{B_2^{++}} - m_{B_2^0} &= 457.5 \pm 0.7 \text{ MeV} \\ +\text{Full width } \Gamma &= 20 \pm 5 \text{ MeV} && (\text{S} = 2.2) +\end{align*}$$ + +$B_2^*(5747)^0$ + +$$I(J^P) = \frac{1}{2}(2^+)$$ + +$I, J, P$ need confirmation. + +$$\begin{align*} +B_2^*(5747)^0 \text{ MASS} &= 5739.5 \pm 0.7 \text{ MeV} && (\text{S} = 1.4) \\ +m_{B_2^{00}} - m_{B_1^0} &= 13.4 \pm 1.4 \text{ MeV} && (\text{S} = 1.3) \\ +m_{B_2^{00}} - m_{B^+} &= 460.2 \pm 0.6 \text{ MeV} && (\text{S} = 1.4) \\ +\text{Full width } \Gamma &= 24.2 \pm 1.7 \text{ MeV} +\end{align*}$$ + +$B_J(5970)^+$ + +$$I(J^P) = \frac{1}{2}(?^?)$$ + +$I, J, P$ need confirmation. + +$$\begin{align*} +\text{Mass } m &= 5964 \pm 5 \text{ MeV} \\ +m_{B_J(5970)^+} - m_{B_J^0} &= 685 \pm 5 \text{ MeV} \\ +\text{Full width } \Gamma &= 62 \pm 20 \text{ MeV} +\end{align*}$$ + +$B_J(5970)^0$ + +$$I(J^P) = \frac{1}{2}(?^?)$$ + +$I, J, P$ need confirmation. + +$$\begin{align*} +\text{Mass } m &= 5971 \pm 5 \text{ MeV} \\ +m_{B_J(5970)^0} - m_{B^+} &= 691 \pm 5 \text{ MeV} \\ +\text{Full width } \Gamma &= 81 \pm 12 \text{ MeV} +\end{align*}$$ +---PAGE_BREAK--- + +BOTTOM, STRANGE MESONS +($B = \pm 1$, $S = \mp 1$) + +$B_s^0 = s\bar{b}, \bar{B}_s^0 = \bar{s}b$, similarly for $B_s^*$'s + +$$I(J^P) = 0(0^-)$$ + +$I, J, P$ need confirmation. Quantum numbers shown are quark-model predictions. + +Mass $m_{B_s^0} = 5366.88 \pm 0.14$ MeV + +$m_{B_s^0} - m_B = 87.38 \pm 0.16$ MeV + +Mean life $\tau = (1.515 \pm 0.004) \times 10^{-12}$ s + +$c\tau = 454.2~\mu\text{m}$ + +$\Delta\Gamma_{B_s^0} = \Gamma_{B_s^0 L} - \Gamma_{B_s^0 H} = (0.085 \pm 0.004) \times 10^{12} \text{ s}^{-1}$ + +$B_s^0 - \bar{B}_s^0$ mixing parameters + +$$ +\begin{aligned} +\Delta m_{B_s^0} = m_{B_s^0 H} - m_{B_s^0 L} &= (17.749 \pm 0.020) \times 10^{12} \hbar \text{ s}^{-1} \\ +&= (1.1683 \pm 0.0013) \times 10^{-8} \text{ MeV} +\end{aligned} +$$ + +$x_s = \Delta m_{B_s^0}/\Gamma_{B_s^0} = 26.89 \pm 0.07$ + +$\chi_s = 0.499312 \pm 0.000004$ + +CP violation parameters in $B_s^0$ + +$$ +\begin{aligned} +\text{Re}(\epsilon_{B_s^0}) / (1 + |\epsilon_{B_s^0}|^2) &= (-0.15 \pm 0.70) \times 10^{-3} \\ +C_K K(B_s^0 \to K^+ K^-) &= 0.14 \pm 0.11 \\ +S_K K(B_s^0 \to K^+ K^-) &= 0.30 \pm 0.13 \\ +r_B(B_s^0 \to D_S^\mp K^\pm) &= 0.37^{+0.10}_{-0.09} \\ +\delta_B(B_s^0 \to D_S^\pm K^\mp) &= (358 \pm 14)^\circ \\ +\text{CP Violation phase } \beta_s &= (2.55 \pm 1.15) \times 10^{-2} \text{ rad} \\ +|\lambda| (B_s^0 \to J/\psi(1S)\phi) &= 1.012 \pm 0.017 \\ +|\lambda| &= 0.999 \pm 0.017 +\end{aligned} +$$ + +A, CP violation parameter = -0.75 ± 0.12 + +C, CP violation parameter = 0.19 ± 0.06 + +S, CP violation parameter = 0.17 ± 0.06 + +$A_{CP}^{L}(B_s \to J/\psi K^{*}(892)^{0}) = -0.05 \pm 0.06$ + +$A_{CP}^{||}(B_s \to J/\psi K^{*}(892)^{0}) = 0.17 \pm 0.15$ + +$A_{CP}^{S}(B_s \to J/\psi K^{*}(892)^{0}) = -0.05 \pm 0.10$ + +$A_{CP}(B_s \to \pi^+ K^-) = 0.221 \pm 0.015$ + +$A_{CP}(B_s^0 \to [\kappa^+ K^-]_D K^*(892)^0) = -0.04 \pm 0.07$ + +$A_{CP}(B_s^0 \to [\pi^+ K^-]_D K^*(892)^0) = -0.01 \pm 0.04$ + +$A_{CP}(B_s^0 \to [\pi^+ \pi^-]_D K^*(892)^0) = 0.06 \pm 0.13$ + +$S(B_s^0 \to \phi\gamma) = 0.43 \pm 0.32$ + +$C(B_s^0 \to \phi\gamma) = 0.11 \pm 0.31$ + +$A^\Delta(B_s \to \phi\gamma) = -0.7 \pm 0.4$ + +$\Delta a_\perp < 1.2 \times 10^{-12} \text{ GeV, CL} = 95\%$ + +$\Delta a_\parallel = (-0.9 \pm 1.5) \times 10^{-14} \text{ GeV}$ + +$\Delta a_X = (1.0 \pm 2.2) \times 10^{-14} \text{ GeV}$ + +$\Delta a_Y = (-3.8 \pm 2.2) \times 10^{-14} \text{ GeV}$ +---PAGE_BREAK--- + +$$ +\begin{align*} +\operatorname{Re}(\xi) &= -0.022 \pm 0.033 \\ +\operatorname{Im}(\xi) &= 0.004 \pm 0.011 +\end{align*} +$$ + +These branching fractions all scale with $B(\bar{b} \to B_s^0)$. + +The branching fraction $B(B_s^0 \to D_s^- \ell^+ \nu_\ell \text{ anything})$ is not a pure measurement since the measured product branching fraction $B(\bar{b} \to B_s^0) \times B(B_s^0 \to D_s^- \ell^+ \nu_\ell \text{ anything})$ was used to determine $B(\bar{b} \to B_s^0)$, as described in the note on "B$^0$-$\bar{B}^0$ Mixing" + +For inclusive branching fractions, e.g., $B \to D^\pm$ anything, the values usually are multiplicities, not branching fractions. They can be greater than one. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
B0S DECAY MODESFraction (Γl/Γ)Scale factor/
Confidence level
ρ
(MeV/c)
Ds- anything(93 ±25 ) %-
ℓνX( 9.6 ± 0.8 ) %-
e+νX-( 9.1 ± 0.8 ) %-
μ+νX-(10.2 ± 1.0 ) %-
Ds-+ν anything( 8.1 ± 1.3 ) %[jja]-
Ds*-+ν anything( 5.4 ± 1.1 ) %-
Ds1(2536)-μ+νμ, Ds1- → D*-Ks0( 2.7 ± 0.7 ) × 10-3-
Ds1(2536)-+ν, Ds1- → D0K+( 4.4 ± 1.3 ) × 10-3-
Ds2(2573)-+ν, Ds2- → D0K+( 2.7 ± 1.0 ) × 10-3-
Ds-π+( 3.00 ± 0.23 ) × 10-32320
Ds-ρ+( 6.9 ± 1.4 ) × 10-32249
Ds-π+π+π-( 6.1 ± 1.0 ) × 10-32301
Ds1(2536)-π+, Ds1- → Ds-π+π-( 2.5 ± 0.8 ) × 10-5-
DsK±( 2.27 ± 0.19 ) × 10-42293
Ds-K+π+π-( 3.2 ± 0.6 ) × 10-42249
Ds+Ds-( 4.4 ± 0.5 ) × 10-31824
Ds-Ds+( 2.8 ± 0.5 ) × 10-41875
D+D-( 2.2 ± 0.6 ) × 10-41925
D0D0( 1.9 ± 0.5 ) × 10-41930
Ds*-π+( 2.0 ± 0.5 ) × 10-32265
Ds*∓K±( 1.33 ± 0.35 ) × 10-4-
Ds*-ρ+( 9.6 ± 2.1 ) × 10-32191
Ds*+Ds- + Ds*-Ds+( 1.39 ± 0.17 ) %S=1.11742
Ds*+Ds*-( 1.44 ± 0.21 ) %
Ds*+Ds*-
Ds*+Ds*-→
D*s0K0
D*s0K0
D*s0K-π+
D*s0K*(892)0
D*s0K*(1410)
D*s0K*₀(1430)
D*s0K*₂(1430)
D*s0K*(1680)
+ + +
+
+
+ + + + +
+
+
+ + + + +
+
+
+ + + + +
+
+
+ + + + +
+
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+
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+
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+ + + + +
+
+
+ + + + +
+
+
+ + + + +
+
+
+ + + + +
+
+
+ + + + +
+
+
+ + + + +
+
+
+ + + + +
+
+
+ + + + +
+
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+ + + + +
+
+
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+
+
+ + + + +
+
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+ + + + +
+
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+ + + + +
+
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+ + + + +
+
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+
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+
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+
+ + + + + +
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +---PAGE_BREAK--- + +Charge conjugation (C), Parity (P), +Lepton family number (LF) violating modes + +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
π+ π-P,CP < 1.1× 10-490%1485
π0 π0P,CP < 4× 10-590%1486
K+ K-P,CP < 6× 10-490%1408
KS0 KS0P,CP < 3.1× 10-490%1407
+ +See Particle Listings for 10 decay modes that have been seen / not seen. + +$$ +J/\psi(1S) \qquad I_G(J^{PC}) = 0^{-(-)} +$$ + +Mass *m* = 3096.900 ± 0.006 MeV + +Full width Γ = 92.9 ± 2.8 keV (S = 1.1) + +Γee = 5.53 ± 0.10 keV + +Γee < 5.4 eV, CL = 90% + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
J/ψ(1S) DECAY MODESFraction (Γf/Γ)Scale factor/ ρ
Confidence level (MeV/c)
hadrons(87.7 ± 0.5 ) %
virtualγ → hadrons(13.50 ± 0.30 ) %
ggg(64.1 ± 1.0 ) %
γgg( 8.8 ± 1.1 ) %
e+e-( 5.971 ± 0.032 ) %1548
e+e-γ[kkaa] ( 8.8 ± 1.4 ) × 10-31548
μ+ μ-( 5.961 ± 0.033 ) %1545
+ +Decays involving hadronic resonances + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ $\rho\pi$ + + ( 1.69 ± 0.15 ) % + + S=2.4 + + 1448 +
+ $\rho^0\pi^0$ + + ( 5.6 ± 0.7 ) × 10⁻³ + + + 1448 +
+ $\rho(770)^{\mp}K^{\pm}K_S^0$ + + ( 1.9 ± 0.4 ) × 10⁻³ + + + — +
+ $\rho(1450)\pi \rightarrow \pi^+\pi^-\pi^0$ + + ( 2.3 ± 0.7 ) × 10⁻³ + + + — +
+ $\rho(1450)^{\pm}\pi^{\mp} \rightarrow K_S^0 K^{\pm}\pi^{\mp}$ + + ( 3.5 ± 0.6 ) × 10⁻⁴ + + + — +
+ $\rho(1450)^0\pi^0 \rightarrow K^+K^- \pi^0$ + + ( 2.7 ± 0.6 ) × 10⁻⁴ + + + — +
+ $\rho(1450)\eta'(958) \rightarrow \pi^+\pi^-\eta'(958)$ + + ( 3.3 ± 0.7 ) × 10⁻⁶ + + + — +
+ $\rho(1700)\pi \rightarrow \pi^+\pi^-\pi^0$ + + ( 1.7 ± 1.1 ) × 10⁻⁴ + + + — +
+ $\rho(2150)\pi \rightarrow \pi^+\pi^-\pi^0$ + + ( 8 ± 40 ) × 10⁻⁶ + + + — +
+ $a_2(1320)\rho$ + + ( 1.09 ± 0.22 ) % + + + 1124 +
+ $\omega\pi^+\pi^+\pi^-\pi^-$ + + ( 8.5 ± 3.4 ) × 10⁻³ + + + 1392 +
+ $\omega\pi^+\pi^-\pi^0$ + + ( 4.0 ± 0.7 ) × 10⁻³ + + + 1418 +
+ $\omega\pi^+\pi^-$ + + ( 7.2 ± 1.0 ) × 10⁻³ + + + 1435 +
+ $\omega f_2(1270)$ + + ( 4.3 ± 0.6 ) × 10⁻³ + + + 1142 +
+ $K^*(892)^0\bar{K}^*(892)^0$ + + ( 2.3 ± 0.6 ) × 10⁻⁴ + + + 1266 +
+ $K^*(892)^{\pm}K^*(892)^{\mp}$ + + ( 1.00 + 0.22 / - 0.40 ) × 10⁻³ + + + 1266 +
+ $K^*(892)^{\pm}K^*(700)^{\mp}$ + + ( 1.1 + 1.0 / - 0.6 ) × 10⁻³ + + + — +
+ $K_S^0\pi^-K^*(892)^+ + \text{c.c.}$ + + ( 2.0 ± 0.5 ) × 10⁻³ + + + 1342 +
+ $K_S^0\pi^-K^*(892)^+ + \text{c.c.} \rightarrow K_S^0 K_S^0\pi^+\pi^-$ + + ( 6.7 ± 2.2 ) × 10⁻⁴ + + + — +
+ $K_S^0 K^*(892)^0 \rightarrow \gamma K_S^0 K_S^0$ + + ( 6.3 + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +
+ +$$ +K_2^*(1430)^+ K^- + \text{c.c.} \rightarrow K^+ K^- \pi^0 \\ +K_2^*(1980)^+ K^- + \text{c.c.} \rightarrow K^+ K^- \pi^0 \\ +$$ + +$$ +K_2^*(1980)^+ K^- + \text{c.c.} \rightarrow K^+ K^- \pi^0 \\ +$$ + +$$ +(1.10 + \frac{0.6}{-} + \frac{0.14}{-}) \times 10^{-5} +$$ +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K4*(2045)+ K- + c.c. →( 6.2 ± 2.9 ) × 10-6-
K+ K- π0
ηK*(892)0 K*(892)0( 1.15 ± 0.26 ) × 10-31003
η' K*± K( 1.48 ± 0.13 ) × 10-3-
η' K*0 K0 + c.c.( 1.66 ± 0.21 ) × 10-31000
η' h1(1415) → η' K* K̄ + c.c.( 2.16 ± 0.31 ) × 10-4-
η' h1(1415) → η' K*± K( 1.51 ± 0.23 ) × 10-4-
K*(1410) K̄ + c.c. →( 7 ± 4 ) × 10-5-
K± K π0
K*(1410) K̄ + c.c. →( 8 ± 6 ) × 10-5-
KS0 K± π
K2*(1430) K̄ + c.c. →( 1.0 ± 0.5 ) × 10-4-
K2± K π0
K2*(1430) K̄ + c.c. →( 4.0 ± 1.0 ) × 10-4-
KS0 K± π
K*(892)02*(1430)0 + c.c.( 4.66 ± 0.31 ) × 10-31011
K*(892)+2*(1430)- + c.c.( 3.4 ± 2.9 ) × 10-31011
K*(892)+S*(1430)- + c.c. →( 4 ± 4 ) × 10-4-
K*(892)+ KS0 π- + c.c.
K*(892)02*(1770)0 + c.c. →( 6.9 ± 0.9 ) × 10-4-
K*(892)0 KS- π+ + c.c.
ωK*(892) K̄ + c.c.( 6.1 ± 0.9 ) × 10-31097
K̄ K*(892)
+c.c.
( 5.0 ± 0.5 ) × 10-3-
KS0 K± π
K+ K*(892)
- + c.c.
( 6.0 ± 0.8 ) × 10-3S=2.9 1373
K+ K*(892)
- + c.c. →
( 2.69 ± 0.13 ) × 10-3-
KS+ KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS
KS + +$$ +\begin{align*} +& \eta K^*(892)^0 \bar{K}^*(892)^0 \\ +& \eta' K^{*\pm} \bar{K}^{\mp}(892)^0 \\ +& \eta' h_1(1415) \rightarrow \eta' K^{*\mp} \bar{K}^{\mp} + \text{c.c.} \\ +& \eta' h_1(1415) \rightarrow \eta' K^{*\pm} \bar{K}^{\mp} \\ +& K^{*(1410)} \bar{K}^{\mp} + \text{c.c.} \rightarrow \\ +& \qquad K^{\pm} K^{\mp} \pi^0 \\ +& K^{*(1410)} \bar{K}^{\mp} + \text{c.c.} \rightarrow \\ +& \qquad K_S^0 K^{\pm} \pi^{\mp} \\ +& K_2^{*(1430)} \bar{K}^{\mp} + \text{c.c.} \rightarrow \\ +& \qquad K_2^{\pm} K^{\mp} \pi^0 \\ +& K_2^{*(1430)} \bar{K}^{\mp} + \text{c.c.} \rightarrow \\ +& \qquad K_S^0 K^{\pm} \pi^{\mp} +\end{align*} +$$ + +$$ +\begin{align*} +K^{*(892)^0} \bar{K}_2^{*(1430)^0} + \text{c.c.} & (4.66 \pm 0.31) \times 10^{-3} \\ +K^{*(892)^+} \bar{K}_2^{*(1430)^-} + \text{c.c.} & (3.4 \pm 2.9) \times 10^{-3} \\ +K^{*(892)^+} \bar{K}_S^{*(1430)^-} + \text{c.c.} & (4 \pm 4) \times 10^{-4} \\ +K^{*(892)^+} \bar{K}_S^{0} \pi^- + \text{c.c.} & \\ +K^{*(892)^0} \bar{K}_2^{*(1770)^0} + \text{c.c.} & (6.9 \pm 0.9) \times 10^{-4} \\ +K^{*(892)^0} \bar{K}_S^{-} \pi^+ + \text{c.c.} & \\ +\omega K^{*(892)} \bar{K} + \text{c.c.} & (6.1 \pm 0.9) \times 10^{-3} \\ +\bar{K} K^{*(892)} + \text{c.c.} & (5.0 \pm 0.5) \times 10^{-3} \\ +K_S^0 K^{\pm} \pi^{\mp} +\end{align*} +$$ + +$$ +\begin{align*} +& K^{+} K^{*}(892)^{-} + \text{c.c.} \\ +& K^{+} K^{*}(892)^{-} + \text{c.c.} \rightarrow \\ +& \qquad K^{+} K^{-}\pi^{0}\\ +& K^{+} K^{*}(892)^{-} + \text{c.c.} \rightarrow \\ +& \qquad K^{0} K^{\pm}\pi^{\mp} + \text{c.c.} +\end{align*} +$$ + +$$ +\begin{align*} +K_1(1400)^{\pm} K^{\mp} & (3.8 \pm 1.4) \times 10^{-3} \\ +\overline{K^*}(892)^{0} K^{\mp+\mp}_{\pi-\pi} & (7.7 \pm 1.6) \times 10^{-3} \\ +K^*(892)^{\pm} K^{\mp}_{\pi^{\prime}\pi^{\prime}} & (4.1 \pm 1.3) \times 10^{-3} \\ +K^*(892)^{0} K_{S}^{Q}\pi^{Q}_{S} & (6 \pm 4) \times 10^{-4} \\ +\omega\pi^{Q}_{S}\pi^{Q}_{S} & (3.4 \pm 0.8) \times 10^{-3} \\ +\omega\pi^{Q}_{S}\eta & (3.4 \pm 1.7) \times 10^{-4} +\end{align*} +$$ + +$$ +\begin{align*} +b_1(1235)^{\pm}\pi^\mp & [bb] (3.0 \pm 0.5) \times 10^{-3} \\ +\omega K^\pm K_S^\pm\pi^\mp & [bb] (3.4 \pm 0.5) \times 10^{-3} \\ +b_1(1235)^{0}\pi^{\prime\prime}_{S} & [bb] (2.3 \pm 0.6) \times 10^{-3} \\ +\eta K^\pm K_S^\pm\pi^\mp & [bb] (2.2 \pm 0.4) \times 10^{-3} \\ +\phi K^*(892)\bar{K} + \text{c.c.} & (2.18 \pm 0.23) \times 10^{-3} \\ +\omega K\bar{K} & (1.9 \pm 0.4) \times 10^{-3} \\ +\omega f_0(1710) & (4.8 \pm 1.1) \times 10^{-4} +\end{align*} +$$ + +$$ +\begin{align*} +\omega f_0(1710) &\rightarrow \omega K\bar{K} \\ +\phi_2(\pi^+\pi^-) & (1.60 \pm 0.32) \times 10^{-3} \\ +\Delta(1232)^{++}\bar{p}\pi^- & (1.6 \pm 0.5) \times 10^{-3} +\end{align*} +$$ + +$$ +\begin{align*} +\omega\eta & (1.74 \pm 0.20) \times 10^{-3} & S=1.6 \\[5pt] +\omega\eta'\pi^+\pi^- & (1.12 \pm 0.13) \times 10^{-3} & \\[5pt] +\phi K\bar{K} & (1.77 \pm 0.16) \times 10^{-3} & S=1.3 \\[5pt] +\phi K_S^Q K_S^Q & (5.9 \pm 1.5) \times 10^{-4} & \\[5pt] +\phi f_0(1710) & (3.6 \pm 0.6) \times 10^{-4} & \\[5pt] +\phi K^+K^- & (8.3 \pm 1.2) \times 10^{-4} & \\[5pt] +\phi f_2(1270) & (3.2 \pm 0.6) \times 10^{-4} & \\[5pt] +\end{align*} +$$ +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Δ(1232)++Δ(1232)--( 1.10 ± 0.29 ) × 10-3938
Σ(1385)-Σ(1385)+ (or c.c.)( 1.16 ± 0.05 ) × 10-3697
Σ(1385)0Σ(1385)0( 1.07 ± 0.08 ) × 10-3697
K+ K- f'2(1525)( 1.05 ± 0.35 ) × 10-3897
φf'2(1525)( 8 ± 4 ) × 10-4S=2.7 877
φπ+ π-( 9.4 ± 1.5 ) × 10-4S=1.7 1365
φπ0 π0( 5.0 ± 1.0 ) × 10-41366
φK± KS0 π∓( 7.2 ± 0.8 ) × 10-41114
ωf1(1420)( 6.8 ± 2.4 ) × 10-41062
φη( 7.4 ± 0.8 ) × 10-4S=1.5 1320
Ξ0Ξ0( 1.17 ± 0.04 ) × 10-3818
Ξ(1530)-Ξ++ c.c.( 3.18 ± 0.08 ) × 10-4600
pK-Σ(1385)0( 5.1 ± 3.2 ) × 10-4646
ωπ0( 4.5 ± 0.5 ) × 10-4S=1.4 1446
ωπ0 → π+ π- π0( 1.7 ± 0.8 ) × 10-5-
φη'(958)( 4.6 ± 0.5 ) × 10-4S=2.2 1192
φf0(980)( 3.2 ± 0.9 ) × 10-4S=1.9 1178
φf'0(980) → φπ+ π-( 2.59 ± 0.34 ) × 10-4-
φf0(980) → φπ0 π0( 1.8 ± 0.5 ) × 10-4-
φηη'( 2.32 ± 0.17 ) × 10-4885
φπ0f'0(980) → φπ0 π+ π-( 4.5 ± 1.0 ) × 10-6-
φπ0f0(980) → φπ0 ρ0 π0( 1.7 ± 0.6 ) × 10-61045
ηφf'0(980) → ηφπ+ π-( 3.2 ± 1.0 ) × 10-4-
φa0(980)0 → φηπ0( 4.4 ± 1.4 ) × 10-6-
Ξ(1530)0Ξ0( 3.2 ± 1.4 ) × 10-4608
Σ(1385)-Σ+ (or c.c.)( 3.1 ± 0.5 ) × 10-4855
φf'1(1285)( 2.6 ± 0.5 ) × 10-41032
φf'1(1285) → φπ0f'0(980) → φπ0π+ π-( 9.4 ± 2.8 ) × 10-7952
φf'1(1285) → φπ0f'0(980) → φπ0π0( 2.1 ± 2.2 ) × 10-7955
ηπ+ π-( 3.8 ± 0.7 ) × 10-41487
ηρ( 1.93 ± 0.23 ) × 10-41396
ωη'(958)( 1.89 ± 0.18 ) × 10-41279
ωf'0(980)( 1.4 ± 0.5 ) × 10-41267
ρη'(958)( 8.1 ± 0.8 ) × 10-5S=1.6 1281
a₂(1320)±π< 4.3 × 10-3CL=90%CL=96%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=99%CL=98* + +\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\\end{document} +---PAGE_BREAK--- + +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Σ(1385)0Λ+ c.c.< 8.2× 10-6CL=90%912
Δ(1232)+< 1× 10-4CL=90%1100
Λ̄(1520)Λ+ c.c. → γΛΛ̄< 4.1× 10-6CL=90%-
Λ̄(1520)Λ+ c.c.< 1.80× 10-3CL=90%807
Θ(1540)Θ̄(1540) → KS0pKL- + c.c.< 1.1× 10-5CL=90%-
Θ(1540)KS-pKL- → KS0pKL-< 2.1× 10-5CL=90%-
Θ̄(1540)KS0p̄ → KS0p̄KL+n< 1.6× 10-5CL=90%-
Θ(1540)KS+n → KS0p̄KL+n< 5.6× 10-5CL=90%-
Θ̄(1540)KS0p̄ → KS0p̄KL-< 1.1× 10-5CL=90%-
Decays into stable hadrons
2(π+π-0( 3.73 ± 0.32 ) %S=1.41496
3(π+π-0( 2.9 ± 0.6 ) %1433
π+π-π0( 2.10 ± 0.08 ) %S=1.61533
π+π-KS0KL0( 2.71 ± 0.29 ) %1497
ρ±ππ0π0( 1.41 ± 0.22 ) %1421
ρ+ρ-π0( 6.0 ± 1.1 ) × 10-31298
π+π-KS+KL-( 1.20 ± 0.30 ) %1368
4(π+π-0( 9.0 ± 3.0 ) × 10-31345
π+π-KS+KL-( 6.84 ± 0.32 ) × 10-31407
π+π-KS0KL0( 3.8 ± 0.6 ) × 10-31406
π+π-KS-KL0( 1.68 ± 0.19 ) × 10-31406
π±πS0KL*KS*( 5.7 ± 0.5 ) × 10-31408
KS+KL-KS-KL*( 4.1 ± 0.8 ) × 10-41127
π+π-KS+KL-η̄( 4.7 ± 0.7 ) × 10-31221
πS0KS+KL-( 2.12 ± 0.23 ) × 10-31410
πS0KS-KL*( 1.9 ± 0.4 ) × 10-3
+ + + +
(4.3 ± 1.3) × 10⁻⁴      -      (4.3 ± 1.3) × 10⁻⁴      -      (4.3 ± 1.3) × 10⁻⁴      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -      -    —S=1.4
S=1.3
S=1.2
S=1.1
S=1.6
S=1.9
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8
S=9.8




















































































































\n + + + +
(3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³  (3.73 ± 0.32) % × 10⁻³ (4)
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\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(6/6/6)\np(4-4-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p-4) +(p-4-p- +

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(\">p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p +p̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄ +p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p/p# +---PAGE_BREAK--- + +

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Radiative decays + +
nn( 2.09 ± 0.16 ) × 10-31231
nnπ+π-( 4 ± 4 ) × 10-31106
Σ+-( 1.50 ± 0.24 ) × 10-3992
Σ00( 1.172 ± 0.032 ) × 10-3S=1.4988
2(π+π-) K+K-( 3.1 ± 1.3 ) × 10-31320
pnπ-( 2.12 ± 0.09 ) × 10-31174
Ξ-+( 9.7 ± 0.8 ) × 10-4S=1.4807
ΛΛ( 1.89 ± 0.09 ) × 10-3S=2.81074
ΛΣ-π+ (or c.c.)( 8.3 ± 0.7 ) × 10-4S=1.2950
pK-Λ-+c.c.( 8.7 ± 1.1 ) × 10-4876
2(K+K-)( 7.2 ± 0.8 ) × 10-41131
pK-Σ0( 2.9 ± 0.8 ) × 10-4819
K++K-( 2.86 ± 0.21 ) × 10-41468
KS0KL0( 1.95 ± 0.11 ) × 10-4S=2.41466
ΛΛπ+π-( 4.3 ± 1.0 ) × 10-3903
ΛΛη( 1.62 ± 0.17 ) × 10-4672
ΛΛπS0( 3.8 ± 0.4 ) × 10-5998
ΛnKS0 + c.c.( 6.5 ± 1.1 ) × 10-4872
π+π-( 1.47 ± 0.14 ) × 10-41542
ΛΣ++ c.c.( 2.83 ± 0.23 ) × 10-51034
KS0KS0< 1.4 × 10-8CL=95%1466
( 1.16 ± 0.22 ) × 10-5CL=90%1548
< 9 × 10-6CL=90%1548
< 1.5 × 10-51548
γπS0πS0( 1.15 ± 0.05 ) × 10-31543
γηπS0( 2.14 ± 0.31 ) × 10-51497
γa0(980)S0 → γηπS0< 2.5 × 10-6CL=95%
γa2(1320)S0 → γηπS0< 6.6 × 10-6CL=95%
γKS0KS0( 8.1 ± 0.4 ) × 10-41466
γηc(1S)( 1.7 ± 0.4 ) %S=1.5
S=1.1
γηc(1S) → 3γ( 3.8 ± 1.3 / - 1.0 ) × 10-6S=1.1
γπS+πS-S0( 8.3 ± 3.1 ) × 10-31518
γηππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππππ π¯
[nnaa]
( 6.1 ± 1.0 ) × 10-3
( 6.2 ± 2.4 ) × 10-4


S=1.6
S=1.8


CL=95%
CL=90%
CL=90%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—
CL=95%—
CL=90%—                                                                                                                                                  (non resonant)
S-continued for next line, with CLs and values in parentheses.
γρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρρp¯( 4.5 ± 0.8 ) × 10-3S-continued for next line, with CLs and values in parentheses.
γpωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωω ω¯< 5.4 × 10-4S-continued for next line, with CLs and values in parentheses.
γpφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφφ φ¯< 8.8 × 10-5S-continued for next line, with CLs and values in parentheses.
γη'(958)( 5.25 ± 0.07 ) × 10-3S-continued for next line, with CLs and values in parentheses.
γ2πS+S-( 2.8 ± 0.5 ) × 10-3S-continued for next line, with CLs and values in parentheses.
γf₂(1270)f₂(1270)( 9.5 ± 1.7 ) × 10-4S-continued for next line, with CLs and values in parentheses.
γf₂(1270)f₂(1270)(non resonant)( 8.2 ± 1.9 ) × 10-4S-continued for next line, with CLs and values in parentheses.
γK⁺K⁻πS+πS-( 2.1 ± 0.6 ) × 10⁻³
( 2.7 ± 0.7 ) × 10⁻³
( 1.61 ± 0.33 ) × 10⁻³
( 1.7 ± 0.4 ) × 10⁻³
( 1.64 ± 0.12 ) × 10⁻³
S-continued for next line, with CLs and values in parentheses.
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γf₄(205₀)( 878 ± 77 ) × 10⁻³
( 878 ± 77 ) × 10⁻³
( 878 ± 77 ) × 10⁻³
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+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +---PAGE_BREAK--- + +γf₂(2340) → γηη + +( 5.6 ± 2.4 / 2.2 ) × 10⁻⁵ + +γf₂(2340) → γK_S⁰K_S⁰ + +( 5.5 ± 4.0 / 1.5 ) × 10⁻⁵ + +γf₀(1500) → γππ + +( 1.09 ± 0.24 ) × 10⁻⁴ + +1183 + +γf₀(1500) → γηη + +( 1.7 ± 0.6 / 1.4 ) × 10⁻⁵ + +γA → γinvisible + +[ooaa] < 6.3 × 10⁻⁶ CL=90% + +γA⁰ → γµ⁺µ⁻ + +[ppaa] < 5 × 10⁻⁶ CL=90% + +### Dalitz decays + +π⁰e⁺e⁻ + +( 7.6 ± 1.4 ) × 10⁻⁷ + +1546 + +ηe⁺e⁻ + +( 1.43 ± 0.07 ) × 10⁻⁵ + +1500 + +η'(958)e⁺e⁻ + +( 6.59 ± 0.18 ) × 10⁻⁵ + +1400 + +ηU → ηe⁺e⁻ + +< 9.11 × 10⁻⁷ CL=90% + +η'(958)U → η'(958)e⁺e⁻ + +< 2.0 × 10⁻⁷ CL=90% + +< 1.2 × 10⁻⁷ CL=90% + +1381 + +### Weak decays + +D⁻e⁺νₑ + c.c. + +< 1.2 × 10⁻⁵ CL=90% + +D⁰e⁺e⁻ + c.c. + +< 8.5 × 10⁻⁸ CL=90% + +D¯_Se⁺νₑ + c.c. + +< 1.3 × 10⁻⁶ CL=90% + +D¯_Se⁺e⁺νₑ + c.c. + +< 1.8 × 10⁻⁶ CL=90% + +D⁻π⁺ + c.c. + +< 7.5 × 10⁻⁵ CL=90% + +D⁰K⁰ + c.c. + +< 1.7 × 10⁻⁴ CL=90% + +D⁰K*⁰ + c.c. + +< 2.5 × 10⁻⁶ CL=90% + +D¯_Sπ⁺ + c.c. + +< 1.3 × 10⁻⁴ CL=90% + +D¯_Sρ⁺ + c.c. + +< 1.3 × 10⁻⁵ CL=90% + +663 + +### Charge conjugation (C), Parity (P), Lepton Family number (LF) violating modes + +γγ + +C < 2.7 × 10⁻⁷ CL=90% + +γφ + +C < 1.4 × 10⁻⁶ CL=90% + +e±μ∓ + +LF < 1.6 × 10⁻⁷ CL=90% + +e±τ∓ + +LF < 8.3 × 10⁻⁶ CL=90% + +μ±τ∓ + +LF < 2.0 × 10⁻⁶ CL=90% + +Λ_c⁺e⁻ + c.c. + +< 6.9 × 10⁻⁸ CL=90% + + invisible < 7 × 10⁻⁴ CL=90% + +See Particle Listings for 3 decay modes that have been seen / not seen. + +$$ \chi_{c0}(1P) \qquad I^G(J^{PC}) = 0^{+}(0^{++}) $$ + +Mass $m = 3414.71 \pm 0.30$ MeV +Full width $\Gamma = 10.8 \pm 0.6$ MeV + +
γ f2(1270) → γ K0S K0S( 2.58 ± 0.60 ) × 10-5-
γ f0(1370) → γ KK( 4.2 ± 1.5 ) × 10-4-
γ f0(1370) → γ K0S K0S( 1.1 ± 0.4 ) × 10-5-
γ f0(1500) → γ K0S K0S( 1.59 ± 0.24 ) × 10-5-
γ f0(1710) → γ KK( 9.5 ± 1.0 ) × 10-4S=1.5 1075
γ f0(1710) → γππ( 3.8 ± 0.5 ) × 10-4-
γ f0(1710) → γωω( 3.1 ± 1.0 ) × 10-4-
γ f0(1710) → γηη( 2.4 ± 1.2 ) × 10-4-
γη( 1.108 ± 0.027 ) × 10-31500
γf̃1(1420) → γK̃Kπ( 7.9 ± 1.3 ) × 10-41220
γf̃1(1285)( 6.1 ± 0.8 ) × 10-41283
γf̃1(1510) → γηπ+π-( 4.5 ± 1.2 ) × 10-4-
γf̃2'(1525)( 5.7 ± 0.8 ) × 10-4S=1.5 1177
γf̃2'(1525) → γK0S K0S( 8.0 ± 0.7 ) × 10-5-
γf̃2'(1525) → γηη( 3.4 ± 1.4 ) × 10-5-
γf̃2'(1640) → γωω( 2.8 ± 1.8 ) × 10-4-
γf̃2'(1910) → γωω( 2.0 ± 1.4 ) × 10-4-
γf0(1750) → γK0S K0S( 1.11 ± 0.20 ) × 10-5-
γf0(1800) → γωφ( 2.5 ± 0.6 ) × 10-4-
γf̃2'(1810) → γηη( 5.4 ± 3.5 ) × 10-5-
γf̃2'(1950) → γK*(892)K*(892)( 7.0 ± 2.2 ) × 10-4-
γK*(892)K*(892)( 4.0 ± 1.3 ) × 10-31266
γφφ( 4.0 ± 1.2 ) × 10-4S=2.1 1166
γpp( 3.8 ± 1.0 ) × 10-41232
γη(2225)( 3.14 ± 0.50 ) × 10-4752
γη(1760) → γρ0ρ0( 1.3 ± 0.9 ) × 10-41048
γη(1760) → γωω( 1.98 ± 0.33 ) × 10-3-
γη(1760) → γγγ< 4.80 × 10-6CL=90% -
γX(1835) → γπ+π-η'( 2.77 ± 0.34 ) × 10-4S=1.1 1006
γX(1835) → γpp( 7.7 ± 1.5 ) × 10-5-
γX(1835) → γK0S K0Sη( 3.3 ± 2.0 ) × 10-5-
γX(1835) → γγγ< 3.56 × 10-6CL=90% -
γX(1840) → γ3(π++)( 2.4 ± 0.7 ) × 10-5-
γ(KKπ) [J*PC = −+]( 7 ± 4 ) × 10-4S=2.1 1442
γπ0( 3.56 ± 0.17 ) × 10-51546
γppπ++π-< 7.9 × 10-4CL=90% 1107
γΛΛ< 1.3 × 10-4CL=90% - CL=90%
γf0(2100) → γηη( 1.13 ± 0.60 ) × 10-4-
γf0(2100) → γππ( 6.2 ± 1.0 ) × 10-4-
γf0(2200) → γKK( 5.9 ± 1.3 ) × 10-4-
γf0(2200) → γK0S K0S( 2.72 ± 0.19 ) × 10-4-
γf̃J(2220) → γππ< 3.9 × 10-5CL=90%
γf̃J(2220) → γKK< 4.1 × 10-5CL=90%
γf̃J(2220) → γpp( 1.5 ± 0.8 ) × 10-5- CL=90%
γf̃J(2330) → γK0S K0S( 4.9 ± 0.7 ) × 10-5- CL=90%
χc0(1P) DECAY MODESFraction (Γf/Γ)Scale factor/ Confidence levelp (MeV/c)
Hadronic decays
2(π+π-)(2.34±0.18) %1679
ρ0π+π-(9.1 ±2.9 ) × 10-31607
f0(980)f0(980)(6.6 ±2.1 ) × 10-41391
π+π-π0π+(3.3 ±0.4 ) %1680
ρ+π-π0+ c.c.(2.9 ±0.4 ) %1607
0(3.3 ±0.4 ) × 10-31681
π+π-K+K-(1.81±0.14) %1580
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K0*(1430)000(1430)0(9.8 +4.0-2.8) × 10-4-
π+ π- K+ K-
K0*(1430)020(1430)0 + c.c. →(8.0 +2.0-2.4) × 10-4-
π+ π- K+ K-
K1(1270)+ K- + c.c. →(6.3 ±1.9) × 10-3-
π+ π- K+ K-
K1(1400)+ K- + c.c. →< 2.7 × 10-3CL=90%
π+ π- K+ K-
f0(980) f0(980)(1.6 +1.0-0.9) × 10-41391
f0(980) f0(2200)(7.9 +2.0-2.5) × 10-4586
f0(1370) f0(1370)< 2.7 × 10-4CL=90%
f0(1370) f0(1500)< 1.7 × 10-4CL=90%
f0(1370) f0(1710)(6.7 +3.5-2.3) × 10-4740
f0(1500) f0(1370)< 1.3 × 10-4CL=90%
f0(1500) f0(1500)< 5 × 10-5CL=90%
f0(1500) f0(1710)< 7 × 10-5CL=90%
K+ K- π+ π- π0(8.6 ±0.9) × 10-31545
KS0 K± π+ π+ π-(4.2 ±0.4) × 10-31543
K+ K- π0 π0(5.6 ±0.9) × 10-31582
K+ π-S0 π0 + c.c.(2.49±0.33)%1581
ρ+ K-S0 + c.c.(1.21±0.21)%1458
K*(892)- K+ π0(4.6 ±1.2) × 10-3-
K+ π-S0 π0 + c.c.
KS0KS*0KS+π+π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-π-c.c.(5.7 ±1.1) × 10-31579
KS*+K*+K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-K*-C.C.(3.0 ±0.7) × 10-31468
K+(892)S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*+S*(1.20±0.18)%1633
K+(892)S*+K*(892)S*-(7.5 ±1.6) × 10-31523
K*(892)S*-K*(892)S*+(1.7 ±0.6) × 10-31456
ππ(8.51±0.33) × 10-31702
π*η< 1.8 × 10-41661
πSη< 1.1 × 10-3CL=90%
π< 1.6 × 10-3
ηη(3.01±0.19) × 10-3CL=90%
ηη'η'(9.1 ±1.1) × 10-5
η'η'(2.17±0.12) × 10-3CL=90%
ωω(9.7 ±1.1) × 10-4
ωφ(1.41±0.13) × 10-4CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=90%CL=95% CLT C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_C_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_T_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_t_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_yy_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_z_zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +$$ +\chi_{c1}(1P) +$$ + +$$ +I G(JPC) = 0^{+}(1^{++}) +$$ + +Mass $m = 3510.67 \pm 0.05$ MeV (S = 1.2) + +Full width $\Gamma = 0.84 \pm 0.04$ MeV + +
φφη(8.4 ±1.0) × 10-41100
pp(2.21±0.08) × 10-41426
ppπ0(7.0 ±0.7) × 10-4S=1.31379
ppη(3.5 ±0.4) × 10-41187
ppω(5.2 ±0.6) × 10-41043
ppφ(6.0 ±1.4) × 10-5876
ppπ-(2.1 ±0.7) × 10-3S=1.41320
ppπ0π0(1.04±0.28) × 10-31324
ppK+K- (non-resonant)(1.22±0.26) × 10-4890
ppKS0KS0< 8.8 × 10-4CL=90%884
pnπ-(1.27±0.11) × 10-31376
pnπ+(1.37±0.12) × 10-31376
pnπ-π0(2.34±0.21) × 10-31321
pn+π0(2.21±0.18) × 10-31321
ΛΛ(3.27±0.24) × 10-41292
ΛΛπ+π-(1.18±0.13) × 10-31153
ΛΛπ+π- (non-resonant)< 5 × 10-4CL=90%1153
Σ(1385)+Λπ- + c.c.< 5 × 10-4CL=90%1083
Σ(1385)-Λπ+ + c.c.< 5 × 10-4CL=90%1083
K+ΛPΛ+ c.c.(1.25±0.12) × 10-3S=1.31132
K*(892)+ΛPΛ+ c.c.(4.8 ±0.9) × 10-4845
K+ΛPΛ(1520)+ c.c.(2.9 ±0.7) × 10-4859
Λ(1520)Λ(1520)(3.1 ±1.2) × 10-4780
Σ0Σ0(4.68±0.32) × 10-41222
Σ+ΠKS0+ c.c.(3.52±0.27) × 10-41089
Σ+Σ-(4.6 ±0.8) × 10-4S=2.61225
Σ(1385)++Σ(1385)-(1.6 ±0.6) × 10-41001
Σ(1385)-+Σ(1385)+(2.3 ±0.7) × 10-41001
K-ΛΞ-++ c.c.(1.94±0.35) × 10-4873
Ξ-cΞ-ccc.c.(3.1 ±0.8) × 10-41089
Ξ-cccc.c.
Ξc c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_yy__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__ +
+ + + +
xɦ₁₁(P) DECAY MODES

Hadronic decays

3(πc+πcɦ₁₁ɦ)                                           (5.8 ± 1.4)×10-3
S=1.2
                                (7.6 ± 2.6)×10-3
S=1.2
2(π+ππ)     (1.19±0.15)%×10
S=1.2
ππππ
    (1.45±0.24)%×10
S=1.2
ρππ
    (3.9 ± 3.5)×10
S=1.2
+
+
χC₁₁(₁P)Fraction (Γᵢ/Γ)Scale factor/
Confidence level
(MeV/c)
ρ
(MeV/c)
γJ/ψ(1S)(1.40±0.05) %303
γρ0< 9 × 10-6CL=90%1619
γω< 8 × 10-6CL=90%1618
γφ̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄̄\\ +γγ\\ +e⁺e⁻J/ψ(1S) +μ⁺μ⁻J/ψ(1S)< 8
< 6
< 9
< 7
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< 9 × 10⁻⁵
< 9 × 10⁻⁶
< >
CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=9% CL=CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-CL-L +
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
0( 5.4 ±0.8 ) × 10-41729
π+π-K+K-( 4.5 ±1.0 ) × 10-31632
K+K-π0π0( 1.12±0.27 ) × 10-31634
K+K-π+π-π0( 1.15±0.13 ) %1598
KS0K±π+π+π-( 7.5 ±0.8 ) × 10-31596
K+π-KS0π0+ c.c.( 8.6 ±1.4 ) × 10-31632
ρ-K+KS0+ c.c.( 5.0 ±1.2 ) × 10-31514
K*(892)S0KS0π0→K+π-KS0π0+ c.c.( 2.3 ±0.6 ) × 10-3-
K+K-ηπS0( 1.12±0.34 ) × 10-31523
π+π-KS0KS0( 6.9 ±2.9 ) × 10-41630
K+K-η( 3.2 ±1.0 ) × 10-41566
KS0K+π-+ c.c.( 7.0 ±0.6 ) × 10-31661
K*(892)S0KS0+ c.c.(10 ±4) × 10-41602
K*(892)S+K-+ c.c.( 1.4 ±0.6 ) × 10-31602
K*J(1430)S0KS0+ c.c. →KS0K+π-+ c.c.< 8 × 10-4CL=90%
K*J(1430)S+K-+ c.c. →KS0K+π-+ c.c.< 2.1 × 10-3CL=90%
KS+KS-πS0( 1.81±0.24 ) × 10-31662
ηπS+πS-( 4.62±0.23 ) × 10-31701
a0(980)S+π-+ c.c. → ηπS+πS-( 3.2 ±0.4 ) × 10-3S=2.2 -
a2(1320)S+π-+ c.c. → ηπS+πS-( 1.76±0.24 ) × 10-4-
a2(1700)S+π-+ c.c. → ηπS+πS-( 4.6 ±0.7 ) × 10-5-
f2(1270)η → ηπS+πS-( 3.5 ±0.6 ) × 10-4-
f4(2050)η → ηπS+πS-( 2.5 ±0.9 ) × 10-5-
π1(1400)S+π-+ c.c. → ηπS+πS-< 5 × 10-5CL=90%
π1(1600)S+π-+ c.c. → ηπS+πS-< 1.5 × 10-5CL=90%
π1(2015)S+π-+ c.c. → ηπS+πS-< 8 × 10-6CL=90%
f2(1270)η
πS
K+K'
K*+K'
K*+(892)
K*+(892)
K+K-K*+K-S
K*+K-S+K-S
K+K-K+K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K+K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+K-K-φ
K*+K-S+K-S
K+К-Ф
К* + К - Ф
К* + К - Ф + СССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССССС СТРАТЕГИЧЕСКИЙ МЕТОД + +
                                                                                                                                                                  CL=90%   
    
    
    
    
    
    
    
    
    
    
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CL=90%CL=90%CL=90%
& & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & &|
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
( 4 . 4 ± . 8 ) × 10⁻⁴ +
+ + +---PAGE_BREAK--- + +**Radiative decays** + + + + + + + + + + + + + + + + + +
γη( 4.7±2.1 ) × 10-41720
γη'(958)( 1.5±0.4 ) × 10-31633
γηc(1S)(51 ±6 ) %500
+ +See Particle Listings for 1 decay modes that have been seen / not seen. + +χc2(1P) + +$$ +\begin{array}{l} +I^G(J^{PC}) = 0^+ (2^+ +^-) \\ +\text{Mass } m = 3556.17 \pm 0.07 \text{ MeV} \\ +\text{Full width } \Gamma = 1.97 \pm 0.09 \text{ MeV} +\end{array} +$$ + +χc2(1P) DECAY MODES + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + KS♩KS♩s♩(5.2 ± 4) × 10⁻⁴ +de
(1.44 ± .2)(1.48 ± .) +de
( .) × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . × . ÷ +de
(5.2 ± 6) %. +de
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.t +---PAGE_BREAK--- + +
Hadronic decays
Fraction (Γf/Γ)Confidence levelp
(MeV/c)
2(π+π-)( 1.02±0.09 ) %1751
π+π-π0π0( 1.83±0.23 ) %1752
ρ+π-π0 + c.c.( 2.19±0.34 ) %1682
4π0( 1.11±0.15 ) × 10-31752
K+K-π0π0( 2.1 ± 0.4 ) × 10-31658
K+π-K0π0 + c.c.( 1.38±0.20 ) %1657
ρ-K+K0 + c.c.( 4.1 ± 1.2 ) × 10-31540
K*(892)0K-π+
K-π+K0π0 + c.c.
( 2.9 ± 0.8 ) × 10-3-
K*(892)0K0π0
K+π-K0π0 + c.c.
( 3.8 ± 0.9 ) × 10-3-
K*(892)-K+π0
K+π-K0π0 + c.c.
( 3.7 ± 0.8 ) × 10-3-
K*(892)+K0π-
K+π-K0π0 + c.c.
( 2.9 ± 0.8 ) × 10-3-
K+K-ηcπ0( 1.3 ± 0.4 ) × 10-31549
K+K-πs+πs-( 8.4 ± 0.9 ) × 10-31656
K+K-πs+πs-πs0( 1.17±0.13 ) %1623
KS0KS±πs+πs-( 7.3 ± 0.8 ) × 10-31621
K+(892)s0πs- + c.c.( 2.1 ± 1.1 ) × 10-31602
K*(892)s0(892)s0( 2.3 ± 0.4 ) × 10-31538
3(πs+πs)( 8.6 ± 1.8 ) × 10-31707
φφ( 1.06±0.09 ) × 10-31457
φφη( 5.3 ± 0.6 ) × 10-41206
ωω( 8.4 ± 1.0 ) × 10-41597
ωK+K-( 7.3 ± 0.9 ) × 10-41540
ωφ( 9.6 ± 2.7 ) × 10-61529
ππ( 2.23±0.09 ) × 10-31773
s0πs+πs-( 3.7 ± 1.6 ) × 10-31682
πs+πs-πs0(non-resonant)( 2.0 ± 0.4 ) × 10-51765
ρ(770)±π&mpart;( 6 ± 4 ) × 10-6-
πs+πs&mpart;η( 4.8 ± 1.3 ) × 10-41724
πs&mpart;π&mpart;&eta'( 5.0 ± 1.8 ) × 10-41636
ηη( 5.4 ± 0.4 ) × 10-41692
Ks♩Ks♩( 1.01±0.06 ) × 10-31708
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K3*(1780)0 R0 + c.c.( 5.6 ±2.1 ) × 10-41276
a2(1320)0π0( 1.29±0.34 ) × 10-3-
a2(1320)±π&mpf;( 1.8 ±0.6 ) × 10-31531
R0 K+π + c.c.( 1.28±0.18 ) × 10-31685
K+K-π0( 3.0 ±0.8 ) × 10-41686
K+K-η< 3.2 × 10-490%
K+K-η'(958)( 1.94±0.34 ) × 10-41488
ηη'( 2.2 ±0.5 ) × 10-51600
η'η'( 4.6 ±0.6 ) × 10-51498
π+π-KS0KS0( 2.2 ±0.5 ) × 10-31655
K+K-KS0KS0< 4 × 10-490%
KS0KS0KS0KS0( 1.13±0.18 ) × 10-41415
K+K-K+K-( 1.65±0.20 ) × 10-31421
K+K-φ( 1.42±0.29 ) × 10-31468
R0K+π-φ + c.c.( 4.8 ±0.7 ) × 10-31416
K+K-π0φ( 2.7 ±0.5 ) × 10-31419
φπ+π-π0( 9.3 ±1.2 ) × 10-41603
p p̅( 7.33±0.33 ) × 10-51510
p p̅π0( 4.7 ±0.4 ) × 10-41465
p p̅η( 1.74±0.25 ) × 10-41285
p p̅ω( 3.6 ±0.4 ) × 10-41152
p p̅φ( 2.8 ±0.9 ) × 10-51002
p p̅π+π-( 1.32±0.34 ) × 10-31410
p p̅πS0πS0( 7.8 ±2.3 ) × 10-41414
p p̅K+K- (non-resonant)( 1.91±0.32 ) × 10-41013
p p̅KS0KS0< 7.9 × 10-490%
p n̅πS+( 8.5 ±0.9 ) × 10-41463
p n̅πS-( 8.9 ±0.8 ) × 10-41463
p n̅πS-πS0( 2.17±0.18 ) × 10-31411
p n̅πS+/-πS0( 2.11±0.18 ) × 10-31411
ΛΛ̅( 1.84±0.15 ) × 10-41384
ΛΛ̅πS+/-πS-/+ (non-resonant)( 1.25±0.15 ) × 10-31255
ΛΛ̅πS+/-πS+/- + c.c.( 6.6 ±1.5 ) × 10-41255
Σ(1385)S+/-Λ̅πS+/- + c.c.< 4 × 10-490%
Σ(1385)S+/-Λ̅πS+/- + c.c.< 6 × 10-490%
KS+p ̅Λ̅πSS⃗
+ c.c.
( 7.8 ±0.5 ) × 10-4926
926
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926
926
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926
926
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926
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( 8.2 ±1.1 ) × 10-4 + +
+ ( 8.2 ± 1.1 ) × 10⁻⁴ + | + ( 8.9 ± 0.8 ) × 10⁻⁴ + | + ( 2.17 ± 0.18 ) × 10⁻³ + | + ( 2.11 ± 0.18 ) × 10⁻³ + | + ( 1.84 ± 0.15 ) × 10⁻⁴ + | + ( 1.25 ± 0.15 ) × 10⁻³ + | + ( 6.6 ± 1.5 ) × 10⁻⁴ + | + ( 4 ± 5 ) × 10⁻⁴ + | + ( 7 ± 5 ) × 10⁻⁴ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 8 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 5 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁴ + | + ( 8 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) × 10⁻⁵ + | + ( 3 ± 5 ) × 10⁻⁵ + | + ( 7 ± 5 ) ×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_×_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_p_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_yy__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy___yy ___-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-_____ +-______ +\hline +\multicolumn{2}{c}{\textbf{Radiative decays}} \\ +\hline +\gamma J/\psi(1S) &(~(~)~)~~~(~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~)~~~(~~) ~~% ~~ +\hline +\gamma \rho^{\circ} &( ~~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~~-~~~~--% +\hline +\gamma \omega &( ~~~~~~-~~~~~-~~~~~-~~~~~-~~~~--% +\hline + + +---PAGE_BREAK--- + +
γφ< 7× 10-690%1632
γγ( 2.85±0.10) × 10-41778
e+e- J/ψ(1S)( 2.15±0.14) × 10-3430
μ+μ- J/ψ(1S)( 2.02±0.33) × 10-4381
+ +### η_c(2S) + +$$I^G(J^{PC}) = 0^{+}(0^{-+})$$ + +Quantum numbers are quark model predictions. + +Mass $m = 3637.5 \pm 1.1$ MeV ($S = 1.2$) +Full width $\Gamma = 11.3_{-2.9}^{+3.2}$ MeV + +
ηc(2S) DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
KKπ( 1.9±1.2) %1729
KKη( 5 ±4 ) × 10-31637
K+K-π+π-π0( 1.4±1.0) %1667
γγ( 1.9±1.3) × 10-41819
γJ/ψ(1S)< 1.4 %90%500
π+π-ηc(1S)< 25 %90%537
+ +See Particle Listings for 14 decay modes that have been seen / not seen. + +### ψ(2S) + +$$I^G(J^{PC}) = 0^{--}(1^{--})$$ + +Mass $m = 3686.10 \pm 0.06$ MeV ($S = 5.9$) +Full width $\Gamma = 294 \pm 8$ keV +$\Gamma_{ee} = 2.33 \pm 0.04$ keV + +
ψ(2S) DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
hadrons(97.85 ±0.13)%S=1.5-
virtual γ → hadrons( 1.73 ±0.14)%-
ggg(10.6 ±1.6)%-
γ gg( 1.03 ±0.29)%-
light hadrons(15.4 ±1.5)%-
e+e-( 7.93 ±0.17) × 10-31843
μ+μ-( 8.0 ±0.6) × 10-31840
τ+τ-( 3.1 ±0.4) × 10-3489
+ +### Decays into J/ψ(1S) and anything + +
J/ψ(1S) anything(61.4 ±0.6) %-
J/ψ(1S) neutrals(25.38 ±0.32) %-
J/ψ(1S) π+π-(34.68 ±0.30) %477
J/ψ(1S) π0π0(18.24 ±0.31) %481
J/ψ(1S) η( 3.37 ±0.05) %199
J/ψ(1S) π0( 1.268±0.032) × 10-3528
+ +### Hadronic decays + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
π0 hc(1P)( 8.6 ±1.3 ) × 10-485
3(π+π-0( 3.5 ±1.6 ) × 10-31746
2(π+π-0( 2.9 ±1.0 ) × 10-3S=4.7
1799
ρa2(1320)( 2.6 ±0.9 ) × 10-41501
π+π-π0π0( 5.3 ±0.9 ) × 10-3CL=90%
1800
ρ±π&mp verm p&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp ver m&mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mp verm p mmr +
pp( 2.94 ±0.08 ) × 10-41586
nn( 3.06 ±0.15 ) × 10-41586
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Δ++Δ--( 1.28 ±0.35 ) × 10-41371
ΛΛπ0< 2.9× 10-6CL=90%1412
ΛΛη( 2.5 ±0.4 ) × 10-51197
ΛpK+( 1.00 ±0.14 ) × 10-41327
K*(892)+ pΛ+ c.c.( 6.3 ±0.7 ) × 10-51087
ΛpK+ π+ π-( 1.8 ±0.4 ) × 10-41167
ΛΛπ+ π-( 2.8 ±0.6 ) × 10-41346
ΛΛ( 3.81 ±0.13 ) × 10-4S=1.41467
ΛΣ+ π- + c.c.( 1.40 ±0.13 ) × 10-41376
ΛΣ- π+ + c.c.( 1.54 ±0.14 ) × 10-41379
ΛΣ0( 1.23 ±0.24 ) × 10-51437
Σ0pK+ + c.c.( 1.67 ±0.18 ) × 10-51291
Σ+c-( 2.32 ±0.12 ) × 10-41408
Σ0c0( 2.35 ±0.09 ) × 10-4S=1.11405
Σ(1385)+c-(1385)-( 8.5 ±0.7 ) × 10-51218
Σ(1385)-c-(1385)+( 8.5 ±0.8 ) × 10-51218
Σ(1385)0c-(1385)0( 6.9 ±0.7 ) × 10-51218
Ξ-c-c-( 2.87 ±0.11 ) × 10-4S=1.11284
Ξ0c-c-( 2.3 ±0.4 ) × 10-4S=4.21291
Ξ(1530)0c-c-(1530)0( 5.2 +3.2
-1.2 ) × 10-5
1025
K-Λc-c-+ c.c.( 3.9 ±0.4 ) × 10-51114
Ξ(1530)c-c-(1530)+( 1.15 ±0.07 ) × 10-41025
Ξ(1530)c-c-
Ξc-c-
Ξc-c
Ξ(1690)c-c-
Ξc-c
Ξ(1820)c-c
Ξc-c
Ξ(1820)c
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc
Ξc+ c.c.
( 7.0 ±1.2 ) × 10-6
( 5.2 ±1.6 ) × 10-6
( 1.20 ±0.32 ) × 10-5



















































































+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Δ++Δ--
γχc0(1P)
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
γη(1405) → ηπ+π-( 3.6 ±2.5 ) × 10-5CL=90%-
γη(1405) → γf0(980)π0 → γπ+π-π0< 5.0 × 10-7-
γη(1475) → KKπ< 1.4 × 10-4CL=90%-
γη(1475) → ηπ+π-< 8.8 × 10-5CL=90%-
γ2(π+π-)( 4.0 ±0.6 ) × 10-4S=2.01817
γK*0K+π- + c.c.( 3.7 ±0.9 ) × 10-41674
γK*0K*0 + c.c.( 2.4 ±0.7 ) × 10-41613
γK0SK+π- + c.c.( 2.6 ±0.5 ) × 10-41753
γK+K-π+π-( 1.9 ±0.5 ) × 10-4CL=90%1726
γpp( 3.9 ±0.5 ) × 10-5-
γf2(1950) → γpp( 1.20 ±0.22 ) × 10-5CL=90%-
γf2(2150) → γpp( 7.2 ±1.8 ) × 10-6-
γX(1835) → γpp( 4.6 +1.8 -4.0 ) × 10-6-
γX → γpp[qqaa] < 2 × 10-6CL=90%-
γπ+π-pp( 2.8 ±1.4 ) × 10-51491
γ2(π+π-)K+K-< 2.2 × 10-4CL=90%1654
γ3(π+π-)< 1.7 × 10-4CL=90%1774
γK+K-K+K-< 4 × 10-5CL=90%1499
γγJ/ψ( 3.1 +1.0 -1.2 ) × 10-4CL=90%542
e+e-n'( 1.90 ±0.26 ) × 10-61719
e+e-χc0(1P)( 1.06 ±0.24 ) × 10-3CL=90%261
e+e-χc1(1P)( 8.5 ±0.6 ) × 10-4171
e+e-χc2(1P)( 7.0 ±0.8 ) × 10-4128
Weak decaysCL=90%1371
Other decays
invisible < 1.6 % CL=90%-
+ +$\psi(3770)$ + +$$ +I^G(J^{PC}) = 0^{-}(1^{-}) \\ +\text{Mass } m = 3773.7 \pm 0.4 \text{ MeV} \quad (S = 1.4) \\ +\text{Full width } \Gamma = 27.2 \pm 1.0 \text{ MeV} \\ +\Gamma_{ee} = 0.262 \pm 0.018 \text{ keV} \quad (S = 1.4) +$$ + +In addition to the dominant decay mode to $D\bar{D}$, $\psi(3770)$ was found to decay into the final states containing the $J/\psi$ (BAI 05, ADAM 06). ADAMS 06 and HUANG 06a searched for various decay modes with light hadrons and found a statistically significant signal for the decay to $\phi\eta$ only (ADAMS 06). + +
ψ(3770) DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
D¯¯(93 ±

9 ) %
S=2.0287
DsO¯¯(52 ±

5 ) %
S=2.0287
DsD¯¯(41 ±

4 ) %
S=2.0254
J/ψπs+πs-( 1.93±0.28) × 10s-3CL=90%561
J/ψπsds( 8.0 ± 3.0 ) × 10s-4565
J/ψη̃( 9 ± 4 ) × 10s-4CL=90%361
J/ψπs< 2.8 × 10s-4604
ese( 9.6 ± 0.7 ) × 10-6S=1.3 CL=90%1887
+ + +---PAGE_BREAK--- + +Decays to light hadrons + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + φ/d/(980) + K+K-πS+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ π+ ρ/d/(980) + K+K-ρ/d/k-d-k-d-k-d- + K+K-ρ/d-d-------------------------------------------------------------------------------------------------------------------------------------------% + ωK+K- + φπk<d<k<d<k<d< + K*k<d<K*k<d<*k<d<* + c.c. + K*k<d<K*k<d<*k<d<* + c.c. + K*k<d<K*k<d<*k<d<* - 2k<d<*k<d<* + c.c. + K*k<d<K*k<d<* - 4k<d<* + c.c. + K*k<d<K*k<d<* - 4k<d<* - c.c. + K*k<d<K*k<d<* - 4k<d<* - c.c. + K*k<d<K*k<d<* - 4k<d<* - c.c.
b1(1235)π< 1.4× 10-5CL=90%1684
φη'< 7× 10-4CL=90%1607
ωη'< 4× 10-4CL=90%1672
ρ0η'< 6× 10-4CL=90%1674
φη( 3.1 ±0.7)× 10-41703
ωη< 1.4× 10-5CL=90%1762
ρ0η< 5× 10-4CL=90%1764
φπ0< 3× 10-5CL=90%1746
ωπ0< 6× 10-4CL=90%1803
π+π-π0< 5× 10-6CL=90%1874
ρπ< 5× 10-6CL=90%1805
K*(892)+K- + c.c.< 1.4× 10-5CL=90%1745
K*(892)0K0 + c.c.< 1.2× 10-3CL=90%1745
K0SK0L< 1.2× 10-5CL=90%1820
2(π+π-)< 1.12× 10-3CL=90%1861
2(π+π-0< 1.06× 10-3CL=90%1844
2(π+π-0)< 5.85%CL=90%1821
ωπ+π-< 6.0× 10-4CL=90%1794
3(π+π-)< 9.1× 10-3CL=90%1820
3(π+π-0< 1.37%CL=90%1792
3(π+π-)2π0< 11.74%CL=90%1760
ηπ+π-< 1.24× 10-3CL=90%1836
π+π-0< 8.9× 10-3CL=90%1862
ρ0π+π-< 6.9× 10-3CL=90%1796
η3π< 1.34× 10-3CL=90%1824
η2(π+π-)< 2.43%CL=90%1804
ηρ0π+π-< 1.45%CL=90%1708
η'3π< 2.44× 10-3CL=90%1741
K+K-π+π-< 9.0× 10-4CL=90%1773
φπ+π-< 4.1× 10-4CL=90%1737
K+K-0< 4.2× 10-3CL=90%1774
4(π+π-)< 1.67%CL=90%1757
4(π+π-0<3.06 %<1720 %
<4.5 × 10-4<1597 × 10-4
<2.36 × 10-3<1741 × 10-3
<8 × 10-4<1624 × 10-4
<1.46 × 10-4<1623 × 10-4
<3.4 × 10-4<1664 × 10-4
<3.8 × 10-3<1723 × 10-3
<1.62 %<1694 %
<3.23 %<1693 %
<-6.5 % (c.c.) × -5.5 % (c.c.) + c.c.<-5.5 % (c.c.) × -6.5 % (c.c.) + c.c.
<-6.5 % (c.c.) × -5.5 % (c.c.) + c.c.<-5.5 % (c.c.) × -6.5 % (c.c.) + c.c.
<-6.5 % (c.c.) × -5.5 % (c.c.) + c.c.<-5.5 % (c.c.) × -6.5 % (c.c.) + c.c.
<-6.5 % (c.c.) × -5.5 % (c.c.) + c.c.<-5.5 % (c.c.) × -6.5 % (c.c.) + c.c.
<-6.5 % (c.c.) × -5.5 % (c.c.) + c.c.<-5.5 % (c.c.) × -6.5 % (c.c.) + c.c.
+ + +\n\n\n\n
Decays to light hadrons\n
b₁(1235)π⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰⁰²³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³³²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²²¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹¹₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₁₂₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₄₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀₀ zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zero zerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerozerofourierpartofthefouriercomponentofthefouriertransformofthefunction[{"bbox": [498, 351, 665, 374], "category": "Section-header", "text": ""}, {"bbox": [314, 374, 880, 1440], "category": "Table", "text": "\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \ncorresponding to the first term of the fourier transform of the function [first term of the fourier transform of b_1(1)](first term of the fourier transform of weta's), and corresponding to the second term of the fourier transform of the function [second term of the fourier transform of b_1(1)](second term of the fourier transform of weta's). The values are given in the format ": [value] × $\\mathrm{Im}(\\mathrm{sinc}(\\frac{x}{a})\\mathrm{sinc}(\\frac{x-b}{a}))$". For example, "b_1(\\sqrt{a^*}) = \\sqrt{a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})" means that the first term of the fourier transform of b_1(\\sqrt{a^*}) is $\\sqrt{a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$." The corresponding value in the table is then multiplied by $\\sqrt{-a^*}$ to get the correct amplitude. +For example, if a term in the fourier transform is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a}))$, then its corresponding value in the table is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})) \\sqrt{-a^*} = a^* \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a}) = a^* \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. This process is repeated for all terms in the fourier transform to get the final result. + +The same process is repeated with respect to the second term of the fourier transform of the function [second term of the fourier transform of b_1(\\sqrt{-a^*})](second term of the fourier transform of weta's), and corresponding to the third term of the fourier transform of the function [third term of the fourier transform of b_1(\\sqrt{-a^*})](third term of the fourier transform of weta's). The values are given in the format ": [value] × $\\mathrm{Im}(\\mathrm{sinc}(\\frac{x}{a})\\mathrm{sinc}(\\frac{x-b}{a}))$". For example, "b_1(\\sqrt{-a^*}) = \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})" means that the first term of the fourier transform of b_1(\\sqrt{-a^*}) is $\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. The corresponding value in the table is then multiplied by $\\sqrt{-a^*}$ to get the correct amplitude. +For example, if a term in the fourier transform is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a}))$, then its corresponding value in the table is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})) \\sqrt{-a^*} = a^* \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. This process is repeated for all terms in the fourier transform to get the final result. + +The same process is repeated with respect to the third term of the fourier transform of the function [third term of the fourier transform of b_1(\\sqrt{-a^*})](third term of the fourier transform of weta's), and corresponding to the fourth term of the fourier transform of the function [fourth term of the fourier transform of b_1(\\sqrt{-a^*})](fourth term of the fourier transform of weta's). The values are given in the format ": [value] × $\\mathrm{Im}(\\mathrm{sinc}(\\frac{x}{a})\\mathrm{sinc}(\\frac{x-b}{a}))$". For example, "b_1(\\sqrt{-a^*}) = \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})" means that the first term of the fourier transform of b_1(\\sqrt{-a^*}) is $\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. The corresponding value in the table is then multiplied by $\\sqrt{-a^*}$ to get the correct amplitude. +For example, if a term in the fourier transform is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a}))$, then its corresponding value in the table is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})) \\sqrt{-a^*} = a^* \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. This process is repeated for all terms in the fourier transform to get the final result. + +The same process is repeated with respect to the fourth term of the fourier transform of the function [fourth term of the fourier transform of b_1(\\sqrt{-a^*})](fourth term of the fourier transform of weta's), and corresponding to the fifth term of the fourier transform of the function [fifth term of the fourier transform of b_1(\\sqrt{-a^*})](fifth term of the fourier transform of weta's). The values are given in the format ": [value] × $\\mathrm{Im}(\\mathrm{sinc}(\\frac{x}{a})\\mathrm{sinc}(\\frac{x-b}{a}))$". For example, "b_1(\\sqrt{-a^*}) = \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})" means that the first term of the fourier transform of b_1(\\sqrt{-a^*}) is $\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. The corresponding value in the table is then multiplied by $\\sqrt{-a^*}$ to get the correct amplitude. +For example, if a term in the fourier transform is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a}))$, then its corresponding value in the table is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})) \\sqrt{-a^*} = a^* \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. This process is repeated for all terms in the fourier transform to get the final result. + +The same process is repeated with respect to the fifth term of the fourier transform of the function [fifth term of the fourier transform of b_1(\\sqrt{-a^*})](fifth term of the fourier transform of weta's), and corresponding to the sixth term of the fourier transform of the function [sixth term of the fourier transform of b_1(\\sqrt{-a^*})](sixth term of the fourier transform of weta's). The values are given in the format ": [value] × $\\mathrm{Im}(\\mathrm{sinc}(\\frac{x}{a})\\mathrm{sinc}(\\frac{x-b}{a}))$". For example, "b_1(\\sqrt{-a^*}) = \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})" means that the first term of the fourier transform of b_1(\\sqrt{-a^*}) is $\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. The corresponding value in the table is then multiplied by $\\sqrt{-a^*}$ to get the correct amplitude. +For example, if a term in the fourier transform is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a}))$, then its corresponding value in the table is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})) \\sqrt{-a^*} = a^* \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. This process is repeated for all terms in the fourier transform to get the final result. + +The same process is repeated with respect to the sixth term of the fourier transform of the function [sixth term of the fourier transform of b_1(\\sqrt{-a^*})](sixth term of the fourier transform of weta's), and corresponding to the seventh term of the fourier transform of the function [seventh term of the fourier transform of b_1(\\sqrt{-a^*})](seventh term of the fourier transform of weta's). The values are given in the format ": [value] × $\\mathrm{Im}(\\mathrm{sinc}(\\frac{x}{a})\\mathrm{sinc}(\\frac{x-b}{a}))$". For example, "b_1(\\sqrt{-a^*}) = \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})" means that the first term of the fourier transform of b_1(\\sqrt{-a^*}) is $\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. The corresponding value in the table is then multiplied by $\\sqrt{-a^*}$ to get the correct amplitude. +For example, if a term in the fourier transform is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a}))$, then its corresponding value in the table is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})) \\sqrt{-a^*} = a^* \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. This process is repeated for all terms in the fourier transform to get the final result. + +The same process is repeated with respect to the seventh term of the fourier transform of the function [seventh term of the fourier transform of b_1(\\sqrt{-a^*})](seventh term of the fourier transform of weta's), and corresponding to the eighth term of the fourier transform of the function [eighth term of the fourier transform of b_1(\\sqrt{-a^*})](eighth term of the fourier transform of weta's). The values are given in the format ": [value] × $\\mathrm{Im}(\\mathrm{sinc}(\\frac{x}{a})\\mathrm{sinc}(\\frac{x-b}{a}))$". For example, "b_1(\\sqrt{-a^*}) = \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})" means that the first term of the fourier transform of b_1(\\sqrt{-a^*}) is $\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. The corresponding value in the table is then multiplied by $\\sqrt{-a^*}$ to get the correct amplitude. +For example, if a term in the fourier transform is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a}))$, then its corresponding value in the table is $(\\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})) \\sqrt{-a^*} = a^* \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})$. This process is repeated for all terms in the fourier transform to get the final result. + +The same process is repeated with respect to the eighth term of the fourier transform of the function [eighth term of the fourier transform of b_1(\\sqrt{-a^*})](eighth term of the fourier transform of weta's), and corresponding to the ninth term of the fourier transform of the function [nineteenth term of the fourier transform of b_1(\\sqrt{-a^*})](nineteenth term of the fourier transform of weta's). The values are given in the format ": [value] × $\\mathrm{Im}(\\mathrm{sinc}(\\frac{x}{a})\\mathrm{sinc}(\\frac{x-b}{a}))$". For example, "b_1(\\sqrt{-a^*}) = \\sqrt{-a^*} \\mathrm{sinc}(\\sqrt{x/a}) \\mathrm{sinc}(\\frac{x-b}{a})" means that the first term of the fourier transform of b_1(√(-a)) is $√(-a) \\mathrm{sinc}(√(xa)) √(xa)$. The corresponding value in the table is then multiplied by √(-a) to get the correct amplitude. +For example, if a term in the fourier transform is $(√(-a) √(xa)) √(xa) √(-a)$, then its corresponding value in the table is $(√(-a) √(xa)) √(xa) √(-a)$ √(-a). This process is repeated for all terms in the fourier transform to get the final result. + +The same process is repeated with respect to the ninth term of the fourier transform of the function [nineteenth term of b_1(√(-a))](nineteenth term of weta's), and corresponding to the tenth term of the fourier transform of the function [twoteenth term of b_1(√(-a))](twoelfth term of weta's). The values are given in the format ": [value] × $[Im(√(-b)) √(xa)]$". For example, "b_1(√(-b)) = √(-b) √(xa)" means that the first term of b_1(√(-b)) is $√(-b) √(xa)$. The corresponding value in the table is then multiplied by √(-b) √(xa) to get √(-b) √(xa). + +For example, if a term in the fourier transform is $(√(-b) √(xa)) √(xa) √(-b) √(xa)$, then its corresponding value in the table is $(√(-b) √(xa)) √(xa) √(-b) √(xa)$ √(-b) √(xa). + +This process is repeated for all terms in the fourier transform to get the final result. + +The same process is repeated with respect to the tenth term of b_1(√(-b)) (twoelfth term), and corresponding to the eleventh term of b_1(√(-b)) (one twelfth). The values are given in this format "[name]: [value] × $[Im(x)]$". For example, "b_1(√(-b)) = √(-b) × Im(x)" means that each term in b_1(√(-b)) has a multiplicative factor √(-b) × Im(x). + +For example, if a term in b_1(√(-b)) is $(√(-b) × Im(x)) × Im(x)$, then its corresponding value in this table is $(√(-b) × Im(x)) × Im(x) × Im(x)$. + +This process is repeated for all terms in b_1(√(-b)) to get their final multiplicative factors. + +The same process is repeated with respect to each subsequent twelfth term, up to but not including twelfth terms (one twelfth through eleventh twelfth). The values are given in this format "[name]: [value] × $[Im(x)]$". For example, "b_1(√(-b)) = √(-b) × Im(x)" means that each term in b_1(√(-b)) has a multiplicative factor √(-b) × Im(x). + +For example, if a term in b_1(√(-b)) is $(√(-b) × Im(x)) × Im(x) × Im(x))$, then its corresponding value in this table is $(√(-b) × Im(x)) × Im(x) × Im(x)) × Im(x)$. + +This process is repeated for all terms in b_1(√(-b)) to get their final multiplicative factors. + +The process is repeated similarly up to but not including thirteenth terms (one thirteenth through twelfth terms). + +The same process is repeated with respect to each thirteenth term through twelfth terms (one twelfth through eleventh twelfth terms). The values are given in this format "[name]: [value] × $[Im(x)]$". For example, "b_1(√(-b)) = √(-b) × Im(x)" means that each term in b_1(√(-b)) has a multiplicative factor √(-b) × Im(x). + +For example, if a term in b_1(√(-b)) is $(√(-b) × Im(x)) × Im(x) × Im(x))$, then its corresponding value in this table is $(√(-b) × Im(x)) × Im(x) × Im(x)) × Im(x)$. + +This process is repeated for all terms in b_1(√(-b)) to get their final multiplicative factors. + +The process is repeated similarly up to but not including sixteenth terms (one sixteenth through eleventh thirteenth terms). + +The same process is repeated with respect to each sixteenth through eleventh thirteenth terms (one thirteenth through twelfth terms). The values are given in this format "[name]: [value] × $[Im(x)]$". For example, "b_1(√(-b)) = √(-b) × Im(x)" means that each term in b_1(√(-b)) has a multiplicative factor √(-b) × Im(x). + +For example, if a term in b_1(√(-b)) is $(√(-b) × Im(x)) × Im(x) × Im(x))$, then its corresponding value in this table is $(√(-b) × Im(x)) × Im(x) × Im(x)) × Im(x)$. + +This process is repeated for all terms in b_1(√(-b)) to get their final multiplicative factors. + +The process is repeated similarly up to but not including seventeenth terms (one seventeenth through sixteenth terms). + +The same process is repeated with respect to each seventeenth through sixteenth terms (one thirteenth through twelfth terms). The values are given in this format "[name]: [value] × $[Im(x)]$". For example, "b_1(√(-b)) = √(-b) × Im(x)" means that each term in b_1(√(-b)) has a multiplicative factor √(-b) × Im(x). + +For example, if a term in b_1(√(-b)) is $(√(-b) × Im(x)) × Im(x) × Im(x))$, then its corresponding value in this table is $(√(-b) × Im(x)) × Im(x) × Im(x)) × Im(x)$. + +This process is repeated for all terms in b_1(√(-b)) to get their final multiplicative factors. + +The process is repeated similarly up to but not including eighteenth terms (one eighteenth through sixteenth terms). + +The same process is repeated with respect to each eighteenth through sixteenth terms (one thirteenth through twelfth terms). The values are given in this format "[name]: [value] × $[Im(x)]$". For example, "b_1(√(-b)) = √(-b) × Im(x)" means that each term in b_1(√(-b)) has a multiplicative factor √(-b) × Im(x). + +For example, if a term in b_1(√(-b)) is $(√(-b) × Im(x)) × Im(x) × Im(x))$, then its corresponding value in this table is $(√(-b) × Im(x)) × Im(x) × Im(x)) × Im(x)$. + +This process is repeated for all terms in b_1(√(-b)) to get their final multiplicative factors. + +The process is repeated similarly up to but not including nineteenth terms (one nineteenth through eighteenth terms). + +The same process is repeated with respect to each nineteenth through eighteenth terms (one thirteenth through twelfth terms). The values are given in this format "[name]: [value] × $[Im(x)]$". For example, "b_1(√(-b)) = √(-b) × Im(x)" means that each term in b_1(√(-b)) has a multiplicative factor √(-b) × Im(x). + +For example, if a term in b_1(√(-b)) is $(√(-b) × Im(x)) × Im(x) × Im(x))$, then its corresponding value in this table is $(√(-b) × Im(x)) × Im(x) × Im(x)) × Im(x)$. + +This process is repeated for all terms in b_1(√(-b)) to get their final multiplicative factors. + +The process is repeated similarly up to but not including twentieth terms (one twentieth through eighteenth terms). + +The same process is repeated with respect to each twentieth through eighteenth terms (one thirteenth through twelfth terms). The values are given in this +---PAGE_BREAK--- + +
b1(1235)π\n < 1.4 × 10-5CL=90%1684
φη's
(first term)
< 7 × 10-4CL=90%1607
ωη's
(first term)
< 4 × 10-4CL=90%1672
ρ
o's
(first term)
< 6 × 10-4CL=90%1674
and CL=90%
phieta's
(first term)
weta's
(first term)
psis
(first term)
wepis
(first term)
pion's
(first term)
rho's
(first term)
K*(89
S)(89
S)
S's
(first term)
< 1.4 × 10< Superscripted{5} / Superscripted{5}and CL=90%
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
K0SK-+π-< 8.7× 10-3CL=90%1740
K0SK-π+ρ0< 1.6%CL=90%1621
K0SK-π+η< 1.3%CL=90%1670
K0SK-+π-π0< 4.18%CL=90%1703
K0SK-+π-η< 4.8%CL=90%1570
K0SK-π+2(π+π-)< 1.22%CL=90%1658
K0SK-π+0< 2.65%CL=90%1742
K0SK-K+K-π+< 4.9× 10-3CL=90%1491
K0SK-K+K-π+π0< 3.0%CL=90%1427
K0SK-K+K-π+η< 2.2%CL=90%1214
K+0K-π++ c.c.< 9.7× 10-3CL=90%1722
ppπ+0< 4× 10-5CL=90%1595
ppπ+0-0< 5.8× 10-4CL=90%1544
ΛΛ< 1.2× 10-4CL=90%1522
ppπ+0-0< 1.85× 10-3CL=90%1490
ωωpp< 2.9× 10-4CL=90%1310
ΛΛp0< 7× 10-5CL=90%1469
pp2(π+π-)< 2.6× 10-3CL=90%1426
ηηpp< 5.4× 10-4CL=90%1431
ηηppπ+0-0< 3.3× 10-3CL=90%1284
ρρpp< 1.7× 10-3CL=90%1314
ppKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK +
χc1(3872) DECAY MODESFraction (Γf/Γ)p (MeV/c)
π+ π- J/ψ(1S)> 3.2 %650
ω J/ψ(1S)> 2.3 %
D00 π0>40 %117
D̄*0 D0>30 %4
π0 χc1> 2.8 %319
γ J/ψ> 7 × 10-3697
γ ψ(2S)> 4 %181
+ +See Particle Listings for 3 decay modes that have been seen / not seen. + +$Z_c(3900)$ + +$I^G(J^{PC}) = 1^{+}(1^{+-})$ + +was $X(3900)$ + +$$ +\begin{align*} +\text{Mass } m &= 3888.4 \pm 2.5 \text{ MeV} && (S = 1.7) \\ +\text{Full width } \Gamma &= 28.3 \pm 2.5 \text{ MeV} +\end{align*} +$$ + +$X(3915)$ + +$I^G(J^{PC}) = 0^{+}(0 \text{ or } 2^{++})$ + +was $\chi_{c0}(3915)$ + +$$ +\begin{align*} +\text{Mass } m &= 3918.4 \pm 1.9 \text{ MeV} \\ +\text{Full width } \Gamma &= 20 \pm 5 \text{ MeV} \quad (\text{S} = 1.1) +\end{align*} +$$ + +$\chi_{c2}(3930)$ + +$I^G(J^{PC}) = 0^{+}(2^{++})$ + +$$ +\begin{align*} +\text{Mass } m &= 3922.2 \pm 1.0 \text{ MeV} && (S = 1.6) \\ +\text{Full width } \Gamma &= 35.3 \pm 2.8 \text{ MeV} && (S = 1.4) +\end{align*} +$$ + +$X(4020)^{\pm}$ + +$I^G(J^{PC}) = 1^{+}(??^{-})$ + +$$ +\begin{align*} +\text{Mass } m &= 4024.1 \pm 1.9 \text{ MeV} \\ +\text{Full width } \Gamma &= 13 \pm 5 \text{ MeV} \quad (\text{S} = 1.7) +\end{align*} +$$ + +$\psi(4040) [r_{aa}]$ + +$I^G(J^{PC}) = 0^{-}(1^{--})$ + +$$ +\begin{align*} +\text{Mass } m &= 4039 \pm 1 \text{ MeV} \\ +\text{Full width } \Gamma &= 80 \pm 10 \text{ MeV} \\ +\Gamma_{ee} &= 0.86 \pm 0.07 \text{ keV} +\end{align*} +$$ +---PAGE_BREAK--- + +Due to the complexity of the $c\bar{c}$ threshold region, in this listing, "seen" ("not seen") means that a cross section for the mode in question has been measured at effective $\sqrt{s}$ near this particle's central mass value, more (less) than $2\sigma$ above zero, without regard to any peaking behavior in $\sqrt{s}$ or absence thereof. See mode listing(s) for details and references. + +
ψ(4040) DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
e+ e-(1.07±0.16) × 10-52019
J/ψπ+π-< 4× 10-390%794
J/ψπ0π0< 2× 10-390%797
J/ψη(5.2 ±0.7) × 10-3675
J/ψπ0< 2.8× 10-490%823
J/ψπ+π-π0< 2× 10-390%746
χc1 γ< 3.4× 10-390%494
χc2 γ< 5× 10-390%454
χc1 π+π-π0< 1.1%90%306
χc2 π+π-π0< 3.2%90%233
hc(1P) π+π-< 3× 10-390%403
φπ+π-< 3× 10-390%1880
ΛΛπ+π-< 2.9× 10-490%1578
ΛΛπ0< 9× 10-590%1636
ΛΛη< 3.0× 10-490%1452
Σ+Σ-< 1.3× 10-490%1632
Σ0Σ-< 7× 10-590%1630
Ξ+Ξ-< 1.6× 10-490%1527
Ξ0Ξ-< 1.8× 10-490%1533
+ +See Particle Listings for 13 decay modes that have been seen / not seen. + +### χc1(4140) + +$$ I^G(J^{PC}) = 0^{+}(1^{++}) $$ + +was X(4140) + +Mass m = 4146.8 ± 2.4 MeV (S = 1.1) + +Full width Γ = $22_{-7}^{+8}$ MeV (S = 1.3) + +### ψ(4160) [rraa] + +$$ I^G(J^{PC}) = 0^{-}(1^{--}) $$ + +Mass m = 4191 ± 5 MeV + +Full width Γ = 70 ± 10 MeV + +Γee = 0.48 ± 0.22 keV + +Due to the complexity of the $c\bar{c}$ threshold region, in this listing, "seen" ("not seen") means that a cross section for the mode in question has been measured at effective $\sqrt{s}$ near this particle's central mass value, more (less) than $2\sigma$ above zero, without regard to any peaking behavior in $\sqrt{s}$ or absence thereof. See mode listing(s) for details and references. + +
ψ(4160) DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
e+e-(6.9 ± 3.3) × 10-62096
J/ψπ+π-< 3× 10-390%919
J/ψπ0π0< 3× 10-390%922
J/ψK+K-< 2× 10-390%407
J/ψη̄< 8× 10-390%822
J/ψπ̄s< 1× 10-390%944
J/ψη̄̇< 5× 10-390%457
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
J/ψπ+ π- π0< 1× 10-390%879
ψ(2S)π+ π-< 4× 10-390%396
χc1γ< 5× 10-390%625
χc2γ< 1.3%90%587
χc1 π+ π- π0< 2× 10-390%496
χc2 π+ π- π0< 8× 10-390%445
hc(1P)π+ π-< 5× 10-390%556
hc(1P)π0 π0< 2× 10-390%560
hc(1P)η< 2× 10-390%348
hc(1P)π0< 4× 10-490%600
φπ+ π-< 2× 10-390%1961
γχc1(3872) → γJ/ψπ+ π-< 6.8× 10-590%-
γX(3915) → γJ/ψπ+ π-< 1.36× 10-490%-
γX(3930) → γJ/ψπ+ π-< 1.18× 10-490%-
γX(3940) → γJ/ψπ+ π-< 1.47× 10-490%-
γχc1(3872) → γγJ/ψ< 1.05× 10-490%-
γX(3915) → γγJ/ψ< 1.26× 10-490%-
γX(3930) → γγJ/ψ< 8.8× 10-590%-
γX(3940) → γγJ/ψ< 1.79× 10-490%-
+ +See Particle Listings for 15 decay modes that have been seen / not seen. + +$$ +\psi(4230) \qquad I_G(J^{PC}) = 0^{--} +$$ + +also known as Y(4230); was X(4230) + +See also ψ(4260) entry in Particle Listings. +Mass *m* = 4220 ± 15 MeV +Full width *Γ* = 20 to 100 MeV + +$$ +\chi_{c1}(4274) \qquad I_G(J^{PC}) = 0^{+(1++)} +$$ + +was X(4274) + +Mass m = 4274 +8 -6 MeV +Full width Γ = 49 ± 12 MeV + +$$ +\psi(4360) \qquad I_G(J^{PC}) = 0^{-(-)} +$$ + +also known as Y(4360); was X(4360) + +$$ +\begin{align*} +\psi(4360) \text{ MASS} &= 4368 \pm 13 \text{ MeV} & (S = 3.7) \\ +\psi(4360) \text{ WIDTH} &= 96 \pm 7 \text{ MeV} +\end{align*} +$$ + +$$ +\psi(4415) [rraa] \qquad I_G(J^{PC}) = 0^{-(-)} +$$ + +Mass m = 4421 ± 4 MeV +Full width Γ = 62 ± 20 MeV +Γee = 0.58 ± 0.07 keV + +Due to the complexity of the $c\bar{c}$ threshold region, in this listing, “seen” (“not seen”) means that a cross section for the mode in question has been measured at effective $\sqrt{s}$ near this particle’s central mass value, more (less) than $2\sigma$ above zero, without regard to any peaking behavior in $\sqrt{s}$ or absence thereof. See mode listing(s) for details and references. +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ψ(4415) DECAY MODES
Fraction (Γf/Γ)Confidence levelp
(MeV/c)
D0D-π+ (excl. D*(2007)0̅D0
+c.c., D*(2010)+D- +c.c.
< 2.3%90%-
D̅D*2(2460) → D0D-π++c.c.(10 ±4)%-
D0D*-π++c.c.< 11%90%926
J/ψη< 6× 10-390%1022
χc1γ< 8× 10-490%817
χc2γ< 4× 10-390%780
e+e-(9.4±3.2) × 10-62210
+ +See Particle Listings for 16 decay modes that have been seen / not seen. + + + + + + +
Zc(4430)IG(JPC) = 1+(1-)
G, C need confirmation.
+ +was X(4430)± + +Quantum numbers not established. + +$$ +\begin{align*} +\text{Mass } m &= 4478_{-18}^{+15} \text{ MeV} \\ +\text{Full width } \Gamma &= 181 \pm 31 \text{ MeV} +\end{align*} +$$ + + + + + + +
(4660)IG(JPC) = 0-(1-)
+ +also known as Y(4660); was X(4660) + +$$ +\begin{array}{l} +\psi(4660) \text{ MASS} = 4633 \pm 7 \text{ MeV} \quad (\text{S} = 1.4) \\ +\psi(4660) \text{ WIDTH} = 64 \pm 9 \text{ MeV} +\end{array} +$$ + +b ¯ b MESONS + +(including possibly non-q ¯ q states) + + + + + + + + + + + + + + + + + + + + + + + + +
+ η + b(1S) + + I + G(JPC) = 0 + +(0 + - + ) + + +
+
+ Mass m = 9398.7 ± 2.0 MeV (S = 1.5) + + + +
+ Full width Γ = 10 + +5-4 MeV +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + +
ηb(1S) DECAY MODES
Fraction (Γf/Γ)Confidence levelp
(MeV/c)
μ+ μ-<9 × 10-390%4698
τ+ τ-<8 %90%4350
+ +See Particle Listings for 5 decay modes that have been seen / not seen. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ T(1S) DECAY MODES + + Scale factor/ Confidence level + + p (MeV/c) +
+
+ τ+ τ- + + ( 2.60 ±0.10 ) % + + 4384 +
+ e+ e- +
+ μ+ μ- + + ( 2.38 ±0.11 ) % + + 4730 +
+ + + + + +
Υ(1S) DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
τ+ τ-4384
e+ e-4730
μ+ μ-4729
+ + +---PAGE_BREAK--- + +Hadronic decays + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ggg(81.7 ±0.7)%-
γgg(2.2 ±0.6)%-
η'(958) anything(2.94 ±0.24)%-
J/ψ(1S) anything(5.4 ±0.4)× 10-4S=1.44223
J/ψ(1S)ηc< 2.2× 10-6CL=90%3623
J/ψ(1S)χc0< 3.4× 10-6CL=90%3429
J/ψ(1S)χc1(3.9 ±1.2)× 10-6CL=90%3382
J/ψ(1S)χc2< 1.4× 10-6CL=90%3359
J/ψ(1S)ηc(2S)< 2.2× 10-6CL=90%3317
J/ψ(1S)X(3940)< 5.4× 10-6CL=90%3148
J/ψ(1S)X(4160)< 5.4× 10-6CL=90%3018
X(4350) anything, X → J/ψ(1S)φ< 8.1× 10-6CL=90%-
Zc(3900)± anything, Zc → J/ψ(1S)π±< 1.3× 10-5CL=90%-
Zc(4200)± anything, Zc → J/ψ(1S)π±< 6.0× 10-5CL=90%-
Zc(4430)± anything, Zc → J/ψ(1S)π±< 4.9× 10-5CL=90%-
Xc8± anything, X → J/ψK±< 5.7× 10-6CL=90%-
χc1(3872) anything, χc1 → J/ψ(1S)π-< 9.5× 10-6CL=90%-
ψ(4260) anything, ψ → J/ψ(1S)π-< 3.8× 10-5CL=90%-
ψ(4260) anything, ψ → J/ψ(1S)K+K-< 7.5× 10-6CL=90%-
χc1(4140) anything, χc1 → J/ψ(1S)φ< 5.2× 10-6CL=90%-
χc0 anything< 4× 10-3CL=90%-
χc1 anything
(1.90 ±0.35)
× 10-4-
χc1(1P)Xtetra< 3.78× 10-5CL=90%-
χc2 anything
(2.8 ±0.8)
× 10-4-
ψ(2S) anything
(1.23 ±0.20)
× 10-4-
ψ(2S)ηc< 3.6× 10-6CL=90%3345
ψ(2S)χc0< 6.5× 10-6CL=90%3124
ψ(2S)χc1< 4.5× 10-6CL=90%3070
ψ(2S)χc2< 2.1× 10-6CL=90%3043
ψ(2S)ηc(2S)< 3.2× 10-6CL=90%2994
ψ(2S)X(3940)< 2.9× 10-6CL=90%2797
ψ(2S)X(4160)< 2.9× 10-6CL=90%2642
ψ(4260) anything, ψ → ψ(2S)π-< 7.9× 10-5CL=90%-
ψ(4360) anything, ψ → ψ(2S)π-< 5.2× 10-5CL=90%-
ψ(4660) anything, ψ → ψ(2S)π-< 2.2× 10-5CL=90%-
X(4050)± anything, X → ψ(2S)π-< 8.8× 10-5CL=90%-
Zc(4430)± anything, Zc → ψ(2S)π-< 6.7× 10-5CL=90%-
Zc(4200)++Zc(4200)-+< 2.23× 10-5CL=90%-
Zc(3900)±+Zc(4200)++< 8.1× 10-6CL=90%-
Zc(3900)++Zc(3900)-+< 1.8× 10-6CL=90%-
X(4050)++X(4050)-+< 1.58× 10-5CL=90%-
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
X(4250)+ X(4250)-< 2.66× 10-5CL=90%-
X(4050)± X(4250)< 4.42× 10-5CL=90%-
Zc(4430)+ Zc(4430)-< 2.03× 10-5CL=90%-
X(4055)± X(4055)< 2.33× 10-5CL=90%-
X(4055)± Zc(4430)< 4.55× 10-5CL=90%-
ρπ< 3.68× 10-6CL=90%4697
ωπ0< 3.90× 10-6CL=90%4697
π+π-< 5× 10-4CL=90%4728
K+K-< 5× 10-4CL=90%4704
p&p;< 5× 10-4CL=90%4636
π+π-π0( 2.1 ±0.8)× 10-64725
φK+K-( 2.4 ±0.5)× 10-64622
ωπ+π-( 4.5 ±1.0)× 10-64694
K*(892)0 K-π+ + c.c.( 4.4 ±0.8)× 10-64667
φf'2(1525)< 1.63× 10-6CL=90%4551
ωf2(1270)< 1.79× 10-6CL=90%4611
ρ(770)a2(1320)< 2.24× 10-6CL=90%4605
K*(892)0/K*s(1430)0 + c.c.( 3.0 ±0.8)× 10-64578
K1(1270)±K< 2.41× 10-6CL=90%4634
K1(1400)±K( 1.0 ±0.4)× 10-64613
b1(1235)±π< 1.25× 10-6CL=90%4649
π+π-π0π0( 1.28 ±0.30)× 10-54720
KS0K+π- + c.c.( 1.6 ±0.4)× 10-64696
K*(892)0/K0 + c.c.( 2.9 ±0.9)× 10-64675
K*(892)-K+ + c.c.< 1.11× 10-6CL=90%4675
fi(1285) anything
D*(2010)± anything
fi(1285)Xtetra
²H anything
Sum of 100 exclusive modes
(1.200±0.017)%
+ +Radiative decays + +
γπ+π-( 6.3 ±1.8)×10-54728
γπ0π0( 1.7 ±0.7)×10-54728
γππ(S-wave)( 4.6 ±0.7)×10-54728
γπ0η<2.4×CL=90%
γK+K-(ssaa) ( 1.14 ±0.13)4704
γp&p;(ttaa) < 6 ( 7.0 ±1.5)CL=90%
γ2h++2h-( 5.4 ±2.0)4703
γ3h++3h-( 7.4 ±3.5)4679
γ4h++4h-( 2.9 ±0.9)4686
γπ+π-K+K-( 2.5 ±0.9)4720
γ2π++2π-( 2.5 ±1.2)4703
γ3π++3π-( 2.4 ±1.2)4658
γ2π++2π-K+K-( 1.5 ±0.6)4604
γπs+πs-p&p;( 4 ±6)4563
γ2Ks++2Ks-( 2.0 ±2.0)4601
γη'(958)<CL=90%
γη<CL=90%
γr's(980)<CL=90%
γr's(1525)( 2.9 ±0.6)4608
γr's(1270)( 1.01 ±0.06)4644
γη(1405)<CL=90%
γr's(1500)<CL=90%
+ +

(6.3 ±1.8) × 10⁻⁵ CL=90%

(1.7 ±0.7) × 10⁻⁵ CL=90%

(4.6 ±0.7) × 10⁻⁵ CL=90%

+ +

(1.14 ± 0.13) × 10⁻⁵ CL=90%

(7.0 ± 1.5) × 10⁻⁴ CL=90%

(5.4 ± 2.0) × 10⁻⁴ CL=90%

(7.4 ± 3.5) × 10⁻⁴ CL=90%

(2.9 ± 0.9) × 10⁻⁴ CL=90%

(2.5 ± 0.9) × 10⁻⁴ CL=90%

(2.5 ± 1.2) × 10⁻⁴ CL=90%

(2.4 ± 1.2) × 10⁻⁴ CL=90%

(1.5 ± 0.6) × 10⁻⁴ CL=90%

(4 ± 6) × 10⁻⁵ CL=90%

(2.0 ± 2.0) × 10⁻⁵ CL=90%

+ +

(6.3 ±1.8) × 10⁻⁵ CL=90%

(1.7 ±0.7) × 10⁻⁵ CL=90%

(4.6 ±0.7) × 10⁻⁵ CL=90%

+ +

(ssaa) ( 1.14 ± 0.13)

[ttaa] < 6 (7.0 ± 1.5)

+ +

(ssaa) ( 1.14 ± 0.13)

[ttaa] < 6 (7.0 ± 1.5)

+ + + +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
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+ +
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+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +(6.3 ±1.8) × 10⁻⁵ CL=90%

(1.7 ±0.7) × 10⁻⁵ CL=90%

(4.6 ±0.7) × 10⁻⁵ CL=90%

+ +

(ssaa) ( 1.14 ± 0.13)

[ttaa] < 6 (7.0 ± 1.5)

(5.4 ± 2.0) × 10⁻⁴ CL=90%

(7.4 ± 3.5) × 10⁻⁴ CL=90%

(2.9 ± 0.9) × 10⁻⁴ CL=90%

(2.5 ± 0.9) × 10⁻⁴ CL=90%

(2.5 ± 1.2) × 10⁻⁴ CL=90%

(2.4 ± 1.2) × 10⁻⁴ CL=90%

(1.5 ± 0.6) × 10⁻⁴ CL=90%

(4 ± 6) × 10⁻⁵ CL=90%

(2.0 ± 2.0) × 10⁻⁵ CL=90%

+ +

(ssaa) ( 1.14 ± 0.13)

[ttaa] < 6 (7.0 ± 1.5)

(5.4 ± 2.0) × 10⁻⁴ CL=90%

(7.4 ± 3.5) × 10⁻⁴ CL=90%

(2.9 ± 0.9) × 10⁻⁴ CL=90%

(2.5 ± 0.9) × 10⁻⁴ CL=90%

(2.5 ± 1.2) × 10⁻⁴ CL=90%

(2.4 ± 1.2) × 10⁻⁴ CL=90%

(1.5 ± 0.6) × 10⁻⁴ CL=90%

(4 ± 6) × 10⁻⁵ CL=90%

(2.0 ± 2.0) × 10⁻⁵ CL=90%

+ +

(ssaa) ( 1.14 ± 0.13)

[ttaa] < 6 (7.0 ± 1.5)

(5.4 ± 2.0) × 10⁻⁴ CL=90%

(7.4 ± 3.5) × 10⁻⁴ CL=90%

(2.9 ± 0.9) × 10⁻⁴ CL=90%

(2.5 ± 0.9) × 10⁻⁴ CL=90%

(2.5 ± 1.2) × 10⁻⁴ CL=90%

(2.4 ± 1.2) × 10⁻⁴ CL=90%

(1.5 ± 0.6) × 10⁻⁴ CL=90%

(4 ± 6) × 10⁻⁵ CL=90%

(2.0 ± 2.0) × 10⁻⁵ CL=90%

+ +

(ssaa) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( ssaa ) ( 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+ +$$ +\begin{array}{l} +\text{X(425)}^+ \text{X(425)}^- \\ +\text{X(4}^{\text{O}})^{\pm}\text{X(}^{\text{O}}\text{)}^{\mp} \\ +Z_c(4}^{(}^{\text{O}})^+ Z_c(}^{)}^{\mp} \\ +\text{X(}^{\text{O}}\text{)}^{\pm}\text{X(}^{\text{O}}\text{)}^{\mp} \\ +\text{X(}^{\text{O}}\text{)}^{\pm} Z_c(}^{)}^{\mp} \\ +\rho\pi \\ +\omega\pi^{\text{O}} \\ +\pi^+\pi^- \\ +K^+K^- \\ +\rho p \\ +\pi^+\pi^-\pi^{\text{O}} \\ +\phi K^+K^- \\ +\omega\pi^+\pi^- \\ +K^{*(}{}^{(}{}^{O})}{}^{)} K^-\pi^+ + \text{c.c}. \\ +\phi f'_2(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)}(}^{)} +\end{array} +$$ +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
γ f0(1500) → γ K+ K-( 1.0 ±0.4 ) × 10-5
γ f0(1710)< 2.6× 10-4CL=90%4577
γ f0(1710) → γ K+ K-( 1.01 ±0.32 ) × 10-5
γ f0(1710) → γ π+ π-( 5.3 ±2.0 ) × 10-6
γ f0(1710) → γ π0 π0< 1.4× 10-6CL=90%
γ f0(1710) → γ ηη< 1.8× 10-6CL=90%
γ f4(2050)< 5.3× 10-5CL=90%4515
γ f0(2200) → γ K+ K-< 2× 10-4CL=90%4475
γ fj(2220) → γ K+ K-< 8× 10-7CL=90%4469
γ fj(2220) → γ π+ π-< 6× 10-7CL=90%
γ fj(2220) → γ pp< 1.1× 10-6CL=90%
γ η(2225) → γ φφ< 3× 10-3CL=90%4469
γ ηc(1S)< 5.7× 10-5CL=90%4260
γ χc0< 6.5× 10-4CL=90%4114
γ χc1< 2.3× 10-5CL=90%4079
γ χc2< 7.6× 10-6CL=90%4062
γ χc1(3872) → π+ π-J/ψ< 1.6× 10-6CL=90%
γ χc1(3872) → π+ π-π0J/ψ< 2.8× 10-6CL=90%
γ X(3915) → ωJ/ψ< 3.0× 10-6CL=90%
γ χc1(4140) → φJ/ψ< 2.2× 10-6CL=90%
γ X [uuaa] <4.5 × 10-6CL=90%
+ +
Lepton Family number (LF) violating modes
μ±τLF < 6.0 × 10-6CL=95%4563
Other decays
invisible < 3.0 × 10-4CL=90%
+ +χb₀(1P) [bbbb] + +$I_G(JPC) = 0^+(0++)$ + +J needs confirmation. + +Mass m = 9859.44 ± 0.42 ± 0.31 MeV + +
χb₀(1P) DECAY MODESFraction (Γᵢ/Γ)Confidence levelp
(MeV/c)
γ γ̄ (1S)( 1.94±0.27 ) %391
D⁰X̄< 10.4 %90%
π⁺π⁻K⁺K⁻π⁰< 1.6 × 10⁻⁴90%4875
2π⁺π⁻K⁻K⁰S̄< 5 × 10⁻⁵90%4875
2π⁺π⁻K⁻K⁰S̄2π⁰< 5 × 10⁻⁴90%4846
2π⁺2π⁻2π⁰< 2.1 × 10⁻⁴90%4905
2π⁺2π⁻K⁺K⁻( 1.1 ±0.6 ) × 10⁻⁴4861
2π⁺2π⁻K⁺K⁻π⁰< 2.7 × 10⁻⁴90%4846
2π⁺2π⁻K⁺K⁻2π⁰< 5 × 10⁻⁴90%4828
3π⁺2π⁻K⁻K⁰S̄π⁰< 1.6 × 10⁻⁴90%4827
3π⁺3π⁻< 8 × 10⁻⁵90%4904
3π⁺3π⁻2π⁰< 6 × 10⁻⁴90%4881
+ + +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+- K+ K-( 2.4 ±1.2 ) × 10-44827
+- K+ K- π0< 1.0× 10-390% 4808
+-< 8× 10-590% 4880
+-0< 2.1× 10-390% 4850
J/ψ J/ψ< 7× 10-590% 3836
J/ψψ(2S)< 1.2× 10-490% 3571
ψ(2S)ψ(2S)< 3.1× 10-590% 3273
J/ψ(1S)anything< 2.3× 10-390% -
+ +χb₁(1P) [bbbb] + +$I^G(J^{PC}) = 0^+(1^+)$ +J needs confirmation. + +Mass m = 9892.78 ± 0.26 ± 0.31 MeV + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ χb1(1P) DECAY MODES + + Fraction (Γᵢ/Γ) + + Confidence level + + p (MeV/c) +
+ γ γ̃(1S) + + (35.2 ±2.0) % + + + 423 +
+ D⁰X + + (12.6 ±2.2) % +
+ π⁺π⁻K⁺K⁻π⁰ + + ( 2.0 ±0.6) × 10⁻⁴ +
+ 2π⁺π⁻K⁻K_S⁰ + + ( 1.3 ±0.5) × 10⁻⁴ +
+ 2π⁺π⁻K⁻K_S⁰2π⁰ + + < 6 × 10⁻⁴ +
+ 2π⁺2π⁻2π⁰ + + ( 8.0 ±2.5) × 10⁻⁴ +
+ 2π⁺2π⁻K⁺K⁻ + + ( 1.5 ±0.5) × 10⁻⁴ +
+ 2π⁺2π⁻K⁺K⁻π⁰ + + ( 3.5 ±1.2) × 10⁻⁴ +
+ 2π⁺2π⁻K⁺K⁻2π⁰ + + ( 8.6 ±3.2) × 10⁻⁴ +
+ 3π⁺2π⁻K⁻K_S⁰π⁰ + + ( 9.3 ±3.3) × 10⁻⁴ +
+ 3π⁺3π⁻ + + ( 1.9 ±0.6) × 10⁻⁴ +
+ ω anything + + ( 1.7 ±0.5) × 10⁻³ +
+ ωXtetra +
+ J/ψ J/ψ +
+ J/ψψ(2S) +
+ ψ(2S)ψ(2S) + + < 6 × 10⁻⁵ +
+ J/ψ(1S) anything +
+ J/ψ(1S)Xtetra + + < 2.27 × 10⁻⁴ +
+ < 4.44 × 10⁻⁴ +
+ +h_b(1P) + +$I^G(J^{PC}) = 0^-(1^-)$ + +Mass m = 9899.3 ± 0.8 MeV + +
hb(1P) DECAY MODESFraction (Γi/Γ)p (MeV/c)
ηb(1S)γ(52+6-5) %488
+---PAGE_BREAK--- + +χb2(1P) [bbbb] + +$I_G(J^{PC}) = 0^+(2^+ +)$ +J needs confirmation. + +Mass $m = 9912.21 \pm 0.26 \pm 0.31$ MeV + +
χb2(1P) DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
γ Γ(1S)(18.0±1.0) %442
D0 X< 7.9 %90%
π+ π- K+ K- π0( 8 ±5 ) × 10-54902
+ π- K- KS0< 1.0 × 10-490%4901
+ π- K- KS00( 5.3±2.4 ) × 10-44873
+-0( 3.5±1.4 ) × 10-44931
+- K+ K-( 1.1±0.4 ) × 10-44888
+- K+ K- π0( 2.1±0.9 ) × 10-44872
+- K+ K-0( 3.9±1.8 ) × 10-44855
+- K- KS0 π0< 5 × 10-490%4854
+-( 7.0±3.1 ) × 10-54931
+-0( 1.0±0.4 ) × 10-34908
+- K+ K-< 8 × 10-590%4854
+- K+ K- π0( 3.6±1.5 ) × 10-44835
+-( 8 ±4 ) × 10-54907
+-0( 1.8±0.7 ) × 10-34877
J/ψ J/ψ< 4 × 10-590%3869
J/ψψ(2S)< 5 × 10-590%3608
ψ(2S) ψ(2S)< 1.6 × 10-590%3313
J/ψ(1S) anything( 1.5±0.4 ) × 10-3
+ +$\tau(2S)$ + +$I_G(J^{PC}) = 0^-(1^{--})$ + +Mass $m = 10023.26 \pm 0.31$ MeV + +$m\tau_{(3S)} - m\tau_{(2S)} = 331.50 \pm 0.13$ MeV + +Full width $\Gamma = 31.98 \pm 2.63$ keV + +$\Gamma_{ee} = 0.612 \pm 0.011$ keV + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Υ(2S) DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
Υ(1S)πc+πc-(17.85 ± 0.26) %475
Υ(1S)πc0πc0(8.6 ± 0.4) %480
τc+τc-(2.00 ± 0.21) %4686
μc+μc-(1.93 ± 0.17) %S=2.25011
ec+ec-(1.91 ± 0.16) %5012
Υ(1S)πc0< 4 × 10-5CL=90%531
Υ(1S)η(2.9 ± 0.4) × 10-4S=2.0126
J/psi(1S) anything< 6 × 10-3CL=90%4533
J/psi(1S)ηc< 5.4 × 10-6CL=90%3984
J/psi(1S)χc0< 3.4 × 10-6CL=90%3808
J/psi(1S)χc1< 1.2 × 10-6CL=90%3765
J/psi(1S)χc2< 2.0 × 10-6CL=90%3744
J/psi(1S)ηc(2S)< 2.5 × 10-6CL=90%3707
J/psi(1S)χ(3940)< 2.0 × 10-6CL=90%3555
J/psi(1S)χ(4160)< 2.0 × 10-6CL=90%3440
χc1 anything
χc1(1P)c0χtetra + (2.2 ± 0.5) × 10-4 + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) + (CL=90%) \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\\end{array} +
+ +$\chi_{c2}$ anything + +$(2.3 \pm 0.8) \times 1\text{e}^{-4}$ + +- +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +                                                        ( 1.14 ± 0.33) + KS S̃KS S̃π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π-+π"aria-label": "Text", "class": "Footnote", "data-footnote": ""}, {"bbox": [702, 307, 888, 327], "category": "Page-header", "text": "Meson Summary Table"}, {"bbox": [922, 307, 954, 325], "category": "Page-header", "text": "151"}, {"bbox": [388, 352, 956, 694], "category": "Table", "text": "
ψ(2S)ηc< 5.1× 10-6CL=90%3732
ψ(2S)χc0< 4.7× 10-6CL=90%3536
ψ(2S)χc1< 2.5× 10-6CL=90%3488
ψ(2S)χc2< 1.9× 10-6CL=90%3464
ψ(2S)ηc(2S)< 3.3× 10-6CL=90%3422
ψ(2S)X(3940)< 3.9× 10-6CL=90%3250
ψ(2S)X(4160)< 3.9× 10-6CL=90%3118
Zc(3900)+ Zc(3900)-< 1.0× 10-6CL=90%-
Zc(4200)+ Zc(4200)-< 1.67× 10-5CL=90%-
Zc(3900)± Zc(4200)< 7.3× 10-6CL=90%-
X(4050)+ X(4050)-< 1.35× 10-5CL=90%-
X(4250)+ X(4250)-< 2.67× 10-5CL=90%-
X(4050)± X(4250)< 2.72× 10-5CL=90%-
Zc(4430)+ Zc(4430)-< 2.03× 10-5CL=90%-
X(4055)± X(4055)< 1.11× 10-5CL=90%-
X(4055)± Zc(4430)< 2.11× 10-5CL=90%-
2H anything
( 2.78+ 0.30/- 0.26) × 10-5
S=1.2-
hadrons
(94 ±11)%
(58.8 ± 1.2)%
(1.87 ± 0.28)%
φK+K-( 1.6 ± 0.4)× 10-64910
ωπ+π-< 2.58× 10-6CL=90%4977
K*(892)0K-π++ c.c.( 2.3 ± 0.7)× 10-64952
φf'2(1525)< 1.33× 10-6CL=90%4842
ωf2(1270)< 5.7× 10-7CL=90%4899
ρ(770)a2(1320)< 8.8× 10-7CL=90%4894
K*(892)0KS-(1430)++ c.c.( 1.5 ± 0.6)× 10-64869
KI(1270)±KF-< 3.22× 10-6CL=90%4921
KI(1400)±KF-< 8.3× 10-7CL=90%4901
bI(1235)±π-< 4.0× 10-7CL=90%4935
ρπ< 1.16× 10-6CL=90%4981
π+π-πO-< 8.0× 10-7CL=90%5007
ωπO-< 1.63× 10-6CL=90%4980
π++π-+πO Õ( 1.30 ± 0.28)× 10-5̃CL=90%5002̃
× 10-6̃× 10-6̃× 10-6̃× 10-6̃× 10-6̃
\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n "}, {"bbox": [666, 669, 956, 696], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{\\Gamma}}} \\mathbf{g}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{g}}}) \\times \\mathbf{g}^{\\circ} $$"}, {"bbox": [666, 699, 956, 719], "category": "Formula", "text": "$$ (94 \\pm \\frac{\\pm \\mathrm{I}\\mathrm{I}}{\\mathrm{I}\\mathrm{I}} ) \\% $$"}, {"bbox": [666, 719, 956, 741], "category": "Formula", "text": "$$ (58.8 \\pm \\frac{\\pm \\mathrm{I}\\mathrm{I}}{\\mathrm{I}\\mathrm{I}} ) \\% $$"}, {"bbox": [666, 741, 956, 764], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{g}}} \\mathbf{g}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{g}}}) \\times \\mathbf{g}^{\\circ} $$"}, {"bbox": [666, 764, 956, 786], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{g}}} \\mathbf{g}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{g}}}) \\times \\mathbf{g}^{\\circ} $$"}, {"bbox": [666, 786, 956, 816], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{g}}} \\mathbf{g}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{g}}}) \\times \\mathbf{g}^{\\circ} $$"}, {"bbox": [666, 816, 956, 846], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{g}}} \\mathbf{g}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{g}}}) \\times \\mathbf{g}^{\\circ} $$"}, {"bbox": [666, 846, 956, 869], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{g}}} \\mathbf{g}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{g}}}) \\times \\mathbf{g}^{\\circ} $$"}, {"bbox": [666, 869, 956, 915], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{k}}} \\mathbf{k}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{k}}}) \\times \\mathbf{k}^{\\circ} $$"}, {"bbox": [666, 915, 956, 945], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{k}}} \\mathbf{k}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{k}}}) \\times \\mathbf{k}^{\\circ} $$"}, {"bbox": [666, 945, 956, 969], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{k}}} \\mathbf{k}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{k}}}) \\times \\mathbf{k}^{\\circ} $$"}, {"bbox": [666, 969, 956, 999], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{k}}} \\mathbf{k}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{k}}}) \\times \\mathbf{k}^{\\circ} $$"}, {"bbox": [666, 999, 956, 1045], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{\\mathbf{k}}} \\mathbf{k}^{\\circ} \\underset{\\circ}{\\overset{\\circ}{\\mathbf{k}}}) \\times \\mathbf{k}^{\\circ} $$"}, {"bbox": [666, 1045, 956, 1069], "category": "Formula", "text": "$$ (\\underset{-}{\\overset{\\circ}{k}} K^+-K^- + c.c.) \\times K^--K^-$"}, {"bbox": [666, 1069, 956, 1115], "category": "Formula", "text": "$$ (K_S^* (K_S^*)^T K_S^T + c.c.) \\times K_S^* - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T - K_S^T + c.c. \\times K_S^T -"}, {"bbox": [666, 1115, 956, 1145], "category": "Formula", "text": "$$ (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_1(f_1))_{i=O_{t_ri}}^{i=O_{t_ri}} = (f_i(f_i))$$"}, {"bbox": [666, 1444, 956, 444], "category": "Formula", "text": ""}, {"bbox": [599, 444, 955, 449], "category": "Text", "text": ""}] +---PAGE_BREAK--- + +
γX(3915) → ωJ/ψ< 2.8× 10-6CL=90%
γχC1(4140) → φJ/ψ< 1.2× 10-6CL=90%
γX(4350) → φJ/ψ< 1.3× 10-6CL=90%
γηb(1S)( 5.5 +1.1-0.9 ) × 10-4S=1.2605
γηb(1S) → γSum of 26 exclusive modes< 3.7× 10-6CL=90%
γXbD̄D̄ → γSum of 26 exclusive modes< 4.9× 10-6CL=90%
γX → γ + ≥ 4 prongs [ccbb] < 1.95× 10-4CL=95%
γA0 → γhadrons< 8× 10-5CL=90%
γa01 → γµ+ µ-< 8.3× 10-6CL=90%
+ + + + + + + + + + + + + + + + + + + + + + + + + +
+ Lepton Family number (LF) violating modes +
+ e±τf + + LF + + < 3.2 + + × 10-6 + + CL=90% + + 4854 +
+ μ±τf + + LF + + < 3.3 + + × 10-6 + + CL=90% + + 4854 +
+ +$$ +\begin{equation} +\mathcal{T}_2(1D) \tag{1D} +\end{equation} +$$ + +$$ +\gamma b \to \gamma^+ \pi^- \eta (1S) +$$ + +$$ +\text{Lepton Family number (LF) violating modes} +$$ + +$$ +e^{\pm} \tau_f \\ +\mu^{\pm} \tau_f +$$ + +$$ +\begin{array}{l@{\quad}c@{\quad}l@{\quad}l@{\quad}l} +\multicolumn{5}{c}{I_G(J^{PC}) = 0^{+-}(-+-)} \\ +\text{was } \Upsilon(1D) & +\multicolumn{5}{c}{\text{Mass } m = 10163.7 \pm 1.4 \text{ MeV } (\text{S} = 1.7)} +\end{array} +$$ + + + + + + + + + + + + + + + + + + + +
+ Mode + + Fraction (Γ + + f + + /Γ) + + p (MeV/c) +
+ π + + + + + π + + − + + Υ(1S) + + (6.6 ±1.6) × 10 + + −3 + + + 623 +
+ See Particle Listings for 3 decay modes that have been seen / not seen. +
+ +$$ +\chi_{b0}(2P) [bbbb] +$$ + +$$ +I_G(J^{PC}) = 0^+(0++) +$$ + +$J$ needs confirmation. + +$$ +\text{Mass } m = 10232.5 \pm 0.4 \pm 0.5 \text{ MeV} +$$ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +---PAGE_BREAK--- + +χb1(2P) [bbbb] + +$$ +\begin{align*} +I^G(J^{PC}) &= 0^+(1^+ +) \\ +J &\text{ needs confirmation.} +\end{align*} +$$ + +Mass *m* = 10255.46 ± 0.22 ± 0.50 MeV + +$m_{\chi_{b1}(2P)} - m_{\chi_{b0}(2P)} = 23.5 \pm 1.0 \text{ MeV}$ + +
+ χ + b0(2P) DECAY MODES +
+ + Fraction (Γ + f/Γ) + + Confidence level + + p (MeV/c) +
+ γΥ(2S) + + (1.38±0.30) % + + 207 +
+ γΥ(1S) + + (3.8 ±1.7) × 10 + -3 + +
+ D + 0X + + < 8.2 % + + 743 +
+ π+π-K+K-π0 + + < 3.4 × 10-5 +
+ 2π+π-K-KS0 + + < 5 × 10-5 +
+ 2π+π-K-KS00 + + < 2.2 × 10-4 +
+ 2π+-0 + + < 2.4 × 10-4 +
+ 2π+-K+K- + + < 1.5 × 10-4 +
+ 2π+-K+K-π0 + + < 2.2 × 10-4 +
+ 2π+-K+K-0 + + < 1.1 × 10-3 +
+ 3π+-KS0π0 + + < 7 × 10-4 +
+ 3π+- + + < 7 × 10-5 +
+ 3π+-0 + + < 1.2 × 10-3 +
+ 3π+-K+K- + + < 1.5 × 10-4 +
+ 3π+-K+K-π0 + + < 7 × 10-4 +
+ 4π+- + + < 1.7 × 10-4 +
+ 4π+-0 + + < 6 × 10-4 +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ χ + + b1 + + (2P) DECAY MODES + + Fraction (Γ + + f + + /Γ) + + p (MeV/c) +
+ ω Γ(1S) + + ( 1.63 + + +0.40 + + + −0.34 + + ) % + + 135 +
+ γ Γ(2S) + + (18.1 ± 1.9 ) % + + 230 +
+ γ Γ(1S) + + ( 9.9 ± 1.0 ) % + + 764 +
+ ππχ + + b1 + + (1P) + + ( 9.1 ± 1.3 ) × 10 + + −3 + + + 238 +
+ D + + 0 + + X + + ( 8.8 ± 1.7 ) % + + – +
+ π + + + + + π + + − + + K + + + + + K + + − + + π + + 0 + + + ( 3.1 ± 1.0 ) × 10 + + −4 + + + 5075 +
+ 2π + + + + + π + + − + + K + + − + + K + + S + + + 0 + + + ( 1.1 ± 0.5 ) × 10 + + −4 + + + 5075 +
+ 2π + + + + + π + + − + + K + + − + + K + + S + + + 0 + + 2π + + 0 + + + ( 7.7 ± 3.2 ) × 10 + + −4 + + + 5047 +
+ 2π + + + + + 2π + + − + + 2π + + 0 + + + ( 5.9 ± 2.0 ) × 10 + + −4 + + + 5104 +
+ 2π + + + + + 2π + + − + + K + + + + + K + + − + + + (10 ± 4 ) × 10 + + −5 + + + 5062 +
+ 2π + + + + + 2π + + − + + K + + − + + K + + S + + π + + 0 + + + ( 5.5 ± 1.8 ) × 10 + + −4 + + + 5047 +
+ 2π + + + + + 2π + + − + + K + + − + + K + + S + + −2π + + 0 + + + (10 ± 4 ) × 10 + + −4 + + + 5030 +
+ 3π + + + + + 2π + + − + + K + + S + + K + + S + 0 π + 0 + + ( 6.7 ± 2.6 ) × 10 + + −4 + + + 5029 +
+ 3π + +-
+
+ ( 1.2 ± 0.4 ) × 10-4
+
5103
+-0( 1.2 ± 0.4 ) × 10-35081
+- K+ K-( 2.0 ± 0.8 ) × 10-45029
+- KS+ KS- πS0( 6.1 ± 2.2 ) × 10-45011
+-( 1.7 ± 0.6 ) × 10-45080
+-S0( 1.9 ± 0.7 ) × 10-35051
+ +χb2(2P) [bbbb] + +$$ +\begin{align*} +I^G(J^{PC}) &= 0^+(2^+ +) \\ +J &\text{ needs confirmation.} +\end{align*} +$$ + +Mass *m* = 10268.65 ± 0.22 ± 0.50 MeV + +$m_{\chi_{b2}(2P)} - m_{\chi_{b1}(2P)} = 13.10 \pm 0.24 \text{ MeV}$ + + + + + + + + + + + + + (1.10+0.34-0.30) %                     "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> "> +                                                                                                                                    <.9%$ + + + γ Γ(2S)
<.9%$ + + + γ Γ(1S)
<.9%$ + + + ππχb2(1P)
<.9%$ + + D0X
<.9%$ + + π+π-KS
<.9%$ + + πS
<.9%$ + + πS
KS
<.9%$ + + πS
KS
KS
<.9%$ + + πS
KS
KS
KS
KS
<.9%$ + + πS
KS
KS
KS
KS
KS
<.9%$ + + πS
KS
KS
KS
KS
KS
KS
<.9%$ + + πS
KS
KS
KS
KS
KS
KS
KS
<.9%$ + + πS
KS
KS
KS
KS
KS
KS
KS
<.9%$ + + πS
KS
KS
KS
KS
KS
KS
KS
<.9%$ + + πS
KS
KS
KS
KS
KS
KS
KS
<.9%$ + + πS
KS
KS
KS
KS
KS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ + + πS
...<.9%$ +
χb2(2P) DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
ω Γ(1S)
+ + +---PAGE_BREAK--- + + + + + + + + + + + + +
+-(9 ±5) × 10-55087
+-0(1.3 ±0.5) × 10-35058
+ +$$ +\begin{array}{l} +\mathcal{T}(3S) \\ +\quad \text{Mass } m = 10355.2 \pm 0.5 \text{ MeV} \\ +\quad m\tau_{(3S)} - m\tau_{(2S)} = 331.50 \pm 0.13 \text{ MeV} \\ +\quad \text{Full width } \Gamma = 20.32 \pm 1.85 \text{ keV} \\ +\quad \Gamma_{ee} = 0.443 \pm 0.008 \text{ keV} +\end{array} +$$ + +$$ +I_G(J^{PC}) = 0^{+-} +$$ + +$$ +m\tau_{(3S)} - m\tau_{(2S)} = 331.50 \pm 0.13 \text{ MeV} +$$ + +$$ +\Gamma_{ee} = 0.443 \pm 0.008 \text{ keV} +$$ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +$$ +e^{\pm}\tau^{\mp} \qquad LF \qquad \langle \phantom{XX}4.2 \phantom{XX} \times 10^{-6} \qquad CL=90\% \qquad 5025 +$$ + +$$ +\mu^{\pm}\tau^{\mp} \qquad LF \qquad \langle \phantom{XX}3.1 \phantom{XX} \times 10^{-6} \qquad CL=90\% \qquad 5025 +$$ + +$$ +I_G(J^{PC}) = 0^{+-} +$$ + +$$ +\text{Mass } m = 10513.4 \pm 0.7 \text{ MeV} +$$ +---PAGE_BREAK--- + +$$ +\chi b_2(3P) \qquad I^G(J^{PC}) = 0^{+}(2^{++}) +$$ + +Mass *m* = 10524.0 ± 0.8 MeV + +$$ +\mathcal{T}(4S) \qquad I^G(J^{PC}) = 0^{-}(1^{--}) +$$ + +also known as $\Upsilon(10580)$ + +Mass $m = 10579.4 \pm 1.2$ MeV + +Full width $\Gamma = 20.5 \pm 2.5$ MeV + +$\Gamma_{ee} = 0.272 \pm 0.029$ keV ($S = 1.5$) + +
Υ(3S) DECAY MODESFraction (Γj/Γ)Scale factor/
Confidence level
p
(MeV/c)
Υ(2S) anything(10.6 ± 0.8 ) %296
Υ(2S)π+π-( 2.82± 0.18 ) %S=1.6177
Υ(2S)π0π0( 1.85± 0.14 ) %190
Υ(2S)γγ( 5.0 ± 0.7 ) %327
Υ(2S)π0< 5.1 × 10-4CL=90%298
Υ(1S)π+π-( 4.37± 0.08 ) %813
Υ(1S)π0π0( 2.20± 0.13 ) %816
Υ(1S)η< 1 × 10-4CL=90%677
Υ(1S)π0< 7 × 10-5CL=90%846
hb(1P)π0< 1.2 × 10-3CL=90%426
hb(1P)π0 → γηb(1S)π0( 4.3 ± 1.4 ) × 10-4-
hb(1P)π+π-< 1.2 × 10-4CL=90%353
τ+τ-( 2.29± 0.30 ) %4863
μ+μ-( 2.18± 0.21 ) %S=2.15177
e+e-( 2.18± 0.20 ) %5178
hadrons(93 ±12 ) %-
ggg(35.7 ± 2.6 ) %-
γgg( 9.7 ± 1.8 ) × 10-3-
2H anything( 2.33± 0.33 ) × 10-5-
Radiative decays
γχb2(2P)(13.1 ± 1.6 ) %S=3.486
γχb1(2P)(12.6 ± 1.2 ) %S=2.499
γχb0(2P)( 5.9 ± 0.6 ) %S=1.4122
γχb2(1P)(10.0 ± 1.0 ) × 10-3S=1.7434
γχb1(1P)( 9 ± 5 ) × 10-4S=1.8452
γχb0(1P)( 2.7 ± 0.4 ) × 10-3484
γηb(2S)< 6.2 × 10-4CL=90%350
γηb(1S)( 5.1 ± 0.7 ) × 10-4912
γA0 → γhadrons< 8 × 10-5CL=90%-
γX → γ + ≥ 4 prongs
[ddbb] < 2.2 × 10-4
CL=95%-
γa10 → γμ+μ-
[eebb] < 5.5 × 10-6
CL=90%-
γa10 → γτ+τ-
[eebb] < 1.6 × 10-4
CL=90%-
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Υ(4S) DECAY MODESFraction (Γf/Γ)Confidence levelp (MeV/c)
B-B> 96 %95%326
B+B-(51.4 ±0.6)%331
D+S anything + c.c.(17.8 ±2.6)%-
B00(48.6 ±0.6)%90%326
J/ψK0S + (J/ψ, ηc)K0S< 4 × 10-7-
non-B-B< 4 %95%-
e+e-(1.57±0.08) × 10-55290
ρ+ρ-< 5.7 × 10-65233
K*(892)00< 2.0 × 10-690%5240
J/ψ(1S) anything< 1.9 × 10-495%-
D*+ anything + c.c.< 7.4 %90%5099
φ anything(7.1 ±0.6)%90%5240
φη< 1.8 × 10-65226
φη'< 4.3 × 10-65196
ρη< 1.3 × 10-690%5247
ρη'< 2.5 × 10-690%5217
Υ(1S) anything< 4 × 10-390%1053
Υ(1S)π+π-(8.2 ±0.4) × 10-51026
Υ(1S)η(1.81±0.18) × 10-4924
Υ(1S)η'(3.4 ±0.9) × 10-590%-
Υ(2S)π+π-(8.2 ±0.8) × 10-5468
ηb(1P)η(2.18±0.21) × 10-3390
2H anything< 1.3 × 10-590%-
+ +Double Radiative Decays + +$$ +\gamma\gamma \Upsilon(D) \rightarrow \gamma\gamma\eta \Upsilon(1S) \quad \langle 2.3 \times 10^{-5} \quad 90\% \quad - +$$ + +See Particle Listings for 1 decay modes that have been seen / not seen. + +$$ +Z_b(10610) \qquad I^G(J^{PC}) = 1^+(1^{-}) +$$ + +was X(10610) + +Mass m = 10607.2 ± 2.0 MeV + +Full width Γ = 18.4 ± 2.4 MeV + + + + + + + + + + + + + + + + + + + + + + + + + + +
Zb(10610) DECAY MODESFraction (Γf/Γ)p (MeV/c)
Υ(1S)π+( 5.4+1.9-1.5 ) × 10-31077
Υ(2S)π+( 3.6+1.1-0.8 ) %551
Υ(3S)π+( 2.1+0.8-0.6 ) %207
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + +
hb(1P) π+( 3.5+1.2-0.9 ) %671
hb(2P) π+( 4.7+1.7-1.3 ) %313
B+ &bar;B*0 + B*+ &bar;B0(85.6+2.1-2.9) %-
+ +See Particle Listings for 4 decay modes that have been seen / not seen. + +$$ +\begin{array}{l} +Z_b(10650) \\ +\quad \text{was } X(10650)^{\pm} \\ +\quad \text{Mass } m = 10652.2 \pm 1.5 \text{ MeV} \\ +\quad \text{Full width } \Gamma = 11.5 \pm 2.2 \text{ MeV} +\end{array} +$$ + +$I G(JPC) = 1^+(1^-)$ +$I, G, C$ need confirmation. + +$Z_b(10650)^-$ decay modes are charge conjugates of the modes below. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Zb(10650)+ DECAY MODESFraction (Γf/Γ)p (MeV/c)
Υ(1S) π+( 1.7+0.8-0.6 × 10-3)1117
Υ(2S) π+( 1.4+0.6-0.4) %595
Υ(3S) π+( 1.6+0.7-0.5) %259
hb(1P) π+( 8.4+2.9-2.4) %714
hb(2P) π+(15 ±4 ) %360
B*+ &bar;B*0(74 ±4 ) %122
+ +See Particle Listings for 2 decay modes that have been seen / not seen. + +$$ +\begin{array}{l} +\Upsilon(10860) \\ +\quad \text{Mass } m = 10885.2_{-1.6}^{+2.6} \text{ MeV} \\ +\quad \text{Full width } \Gamma = 37 \pm 4 \text{ MeV} \\ +\quad \Gamma_{ee} = 0.31 \pm 0.07 \text{ keV} \quad (S = 1.3) +\end{array} +$$ + +$I G(JPC) = 0^-(1^-)$ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +---PAGE_BREAK--- + +
Υ(10860) DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
B&overline;B X( 76.2 +2.7-4.0 ) %-
B&overline;B( 5.5 ±1.0 ) %1322
B&overline;B* + c.c.( 13.7 ±1.6 ) %-
B*&overline;B*( 38.1 ±3.4 ) %1127
B&overline;B(*)π< 19.7 %90%1015
B&overline;Bπ( 0.0 ±1.2 ) %1015
B*&overline;Bπ + B&overline;B*π( 7.3 ±2.3 ) %-
B*&overline;B*π( 1.0 ±1.4 ) %739
B&overline;Bππ< 8.9 %90%551
B(*)&overline;B*( 20.1 ±3.1 ) %905
Bs&overline;Bs( 5 ±5 ) × 10-3905
Bs&overline;Bs* + c.c.( 1.35±0.32 ) %-
Bs*&overline;Bs*( 17.6 ±2.7 ) %543
no open-bottom
e+e-( 3.8 +5.0-0.5 ) %-
K*(892)00( 8.3 ±2.1 ) × 10-65443
Υ(1S)π+π-< 1.0 × 10-590%5395
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Υ(2S)π+π-( 7.8 ±1.3 ) × 10-3783
Υ(3S)π+π-( 4.8 +1.9-1.7 ) × 10-3440
Υ(1S)K+K-( 6.1 ±1.8 ) × 10-4959
ηΥJ(1D)( 4.8 ±1.1 ) × 10-3-
hb(1P)π+π-( 3.5 +1.0-1.3 ) × 10-3903
hb(2P)π+π-( 5.7 +1.7-2.1 ) × 10-3544
χbJ(1P)π+π-π0( 2.5 ±2.3 ) × 10-3894
χb0(1P)π+π-π0< 6.3 × 10-390%
χb0(1P)ω< 3.9 × 10-390%
χb0(1P)(π+π-π0)non-ω< 4.8 × 10-390%
χb1(1P)π+π-π0( 1.85±0.33) × 10-3861
χb1(1P)ω( 1.57±0.30) × 10-3582
χb1(1P)(π+π-π0)non-ω( 5.2 ±1.9 ) × 10-4-
χb2(1P)π+π-π0( 1.17±0.30) × 10-3841
χb2(1P)ω( 6.0 ±2.7 ) × 10-4552
χb2(1P)(π+π-π0)non-ω( 6 ±4 ) × 10-4-
γχb → γΥ(1S)ω< 3.8 × 10-590%
+ +Inclusive Decays. + +These decay modes are submodes of one or more of the decay modes above. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ φ anything + + ( 13.8 + +
+2.4
-1.7
%) +
+ - +
+ D + 0 anything + c.c. + + (108 ±8) % + + - +
+ D + s anything + c.c. + + ( 46 ±6 ) % + + - +
+ J/ψ anything + + ( 2.06±0.21) % + + - +
+ B + 0 anything + c.c. + + ( 77 ±8 ) % + + - +
+ B+ anything + c.c. + + ( 72 ±6 ) % + + - +
+ +$$ +\mathcal{Y}(11020) \qquad I^G(J^{PC}) = 0^{--}(1^{--}) +$$ + +Mass $m = 11000 \pm 4$ MeV + +Full width $\Gamma = 24^{+8}_{-6}$ MeV + +$\Gamma_{ee} = 0.130 \pm 0.030$ keV + + + + + + + + + +
Υ(11020) DECAY MODESFraction (Γf/Γ)p (MeV/c)
e+ e-(5.4+1.9-2.1) × 10-65500
χbJ(1P)π+π-π0(9+9-8) × 10-31007
+ +See Particle Listings for 2 decay modes that have been seen / not seen. +---PAGE_BREAK--- + +NOTES + +In this Summary Table: + +When a quantity has "$(S = ...)$" to its right, the error on the quantity has been +enlarged by the "scale factor" S, defined as $S = \sqrt{\chi^2/(N-1)}$, where N is the +number of measurements used in calculating the quantity. + +A decay momentum p is given for each decay mode. For a 2-body decay, p is the momentum of each decay product in the rest frame of the decaying particle. For a 3-or-more-body decay, p is the largest momentum any of the products can have in this frame. + +[a] See the review on "Form Factors for Radiative Pion and Kaon Decays" for definitions and details. + +[b] Measurements of $\Gamma(e^{+}\nu_{e})/\Gamma(\mu^{+}\nu_{\mu})$ always include decays with $\gamma$'s, and measurements of $\Gamma(e^{+}\nu_{e}\gamma)$ and $\Gamma(\mu^{+}\nu_{\mu}\gamma)$ never include low-energy $\gamma$'s. Therefore, since no clean separation is possible, we consider the modes with $\gamma$'s to be subsections of the modes without them, and let $\frac{\Gamma(e^{+}\nu_{e}) + \Gamma(\mu^{+}\nu_{\mu})}{\Gamma_{total}} = 100\%$. + +[c] See the $\pi^{\pm}$ Particle Listings in the Full Review of Particle Physics for the energy limits used in this measurement; low-energy $\gamma$'s are not included. + +[d] Derived from an analysis of neutrino-oscillation experiments. + +[e] Astrophysical and cosmological arguments give limits of order $10^{-13}$. + +[f] Forbidden by angular momentum conservation. + +[g] C parity forbids this to occur as a single-photon process. + +[h] The $\omega\rho$ interference is then due to $\omega\rho$ mixing only, and is expected to be small. If $e\mu$ universality holds, $\Gamma(\rho^0 \to \mu^+\mu^-) = \Gamma(\rho^0 \to e^+e^-) \times 0.99785$. + +[i] See the "Note on $a_1(1260)$" in the $a_1(1260)$ Particle Listings in PDG 06, Journal of Physics **G** **33** 1 (2006). + +[j] Our estimate. See the Particle Listings for details. + +[k] See the note on "Non-$q\bar{q}$ mesons" in the Particle Listings in PDG 06, Journal of Physics **G** **33** 1 (2006). + +[l] See also the $\omega(1650)$. + +[n] See also the $\omega(1420)$. + +[o] See the note in the $K^{\pm}$ Particle Listings in the Full Review of Particle Physics. + +[p] Neglecting photon channels. See, e.g., A. Pais and S.B. Treiman, Phys. Rev. **D** **12**, 2744 (1975). + +[q] The definition of the slope parameters of the $K \to 3\pi$ Dalitz plot is as follows (see also "Note on Dalitz Plot Parameters for $K \to 3\pi$ Decays" in the $K^{\pm}$ Particle Listings in the Full Review of Particle Physics): + +$$|M|^2 = 1 + g(s_3 - s_0)/m_{\pi^+}^2 + \dots$$ + +[r] For more details and definitions of parameters see Particle Listings in the Full Review of Particle Physics. + +[s] See the $K^{\pm}$ Particle Listings in the Full Review of Particle Physics for the energy limits used in this measurement. + +[t] Most of this radiative mode, the low-momentum $\gamma$ part, is also included in the parent mode listed without $\gamma$'s. + +[u] Structure-dependent part. + +[v] Direct-emission branching fraction. +---PAGE_BREAK--- + +[x] Violates angular-momentum conservation. + +[y] Derived from measured values of $\phi_{+-}$, $\phi_{00}$, $|\eta|$, $|m_{K_L^0} - m_{\bar{K}_S^0}|$, and $\tau_{K_S^0}$, as described in the introduction to "Tests of Conservation Laws." + +[z] The CP-violation parameters are defined as follows (see also "Note on CP Violation in $K_S \to 3\pi$" and "Note on CP Violation in $K_L^0$ Decay" in the Particle Listings in the Full Review of Particle Physics): + +$$ \eta_{+-} = |\eta_{+-}| e^{i\phi_{+-}} = \frac{A(K_L^0 \to \pi^+\pi^-)}{A(K_S^0 \to \pi^+\pi^-)} = \epsilon + \epsilon' $$ + +$$ \eta_{00} = |\eta_{00}| e^{i\phi_{00}} = \frac{A(K_L^0 \to \pi^0\pi^0)}{A(K_S^0 \to \pi^0\pi^0)} = \epsilon - 2\epsilon' $$ + +$$ \delta = \frac{\Gamma(K_L^0 \to \pi^-\ell^+\nu) - \Gamma(K_L^0 \to \pi^+\ell^-\nu)}{\Gamma(K_L^0 \to \pi^-\ell^+\nu) + \Gamma(K_L^0 \to \pi^+\ell^-\nu)}, $$ + +$$ \operatorname{Im}(\eta_{+-0})^2 = \frac{\Gamma(K_S^0 \to \pi^+ \pi^- \pi^0)^{\mathrm{CP}} \text{ viol.}}{\Gamma(K_L^0 \to \pi^+ \pi^- \pi^0)}, $$ + +$$ \operatorname{Im}(\eta_{000})^2 = \frac{\Gamma(K_S^0 \to \pi^0 \pi^0 \pi^0)}{\Gamma(K_L^0 \to \pi^0 \pi^0 \pi^0)}. $$ + +where for the last two relations CPT is assumed valid, i.e., Re($\eta_{+-0}$) $\simeq$ 0 and Re($\eta_{000}$) $\simeq$ 0. + +[aa] See the $K_S^0$ Particle Listings in the Full Review of Particle Physics for the energy limits used in this measurement. + +[bb] The value is for the sum of the charge states or particle/antiparticle states indicated. + +[cc] Re($e'/\epsilon$) = $e'/\epsilon$ to a very good approximation provided the phases satisfy CPT invariance. + +[dd] This mode includes gammas from inner bremsstrahlung but not the direct emission mode $K_L^0 \to \pi^+\pi^-\gamma(\text{DE})$. + +[ee] See the $K_L^0$ Particle Listings in the Full Review of Particle Physics for the energy limits used in this measurement. + +[ff] Allowed by higher-order electroweak interactions. + +[gg] Violates CP in leading order. Test of direct CP violation since the indirect CP-violating and CP-conserving contributions are expected to be suppressed. + +[hh] See the "Note on $f_0(1370)$" in the $f_0(1370)$ Particle Listings in the Full Review of Particle Physics and in the 1994 edition. + +[ii] See the note in the L(1770) Particle Listings in Reviews of Modern Physics 56 S1 (1984), p. S200. See also the "Note on $K_2(1770)$ and the $K_2(1820)$" in the $K_2(1770)$ Particle Listings in the Full Review of Particle Physics. + +[jj] See the "Note on $K_2(1770)$ and the $K_2(1820)$" in the $K_2(1770)$ Particle Listings in the Full Review of Particle Physics. + +[kk] This result applies to $Z^0 \to c\bar{c}$ decays only. Here $\ell^+$ is an average (not a sum) of $e^+$ and $\mu^+$ decays. + +[l] See the Particle Listings for the (complicated) definition of this quantity. + +[nn] The branching fraction for this mode may differ from the sum of the submodes that contribute to it, due to interference effects. See the +---PAGE_BREAK--- + +relevant papers in the Particle Listings in the Full Review of Particle Physics. + +[oo] These subfractions of the $K^- 2\pi^+$ mode are uncertain: see the Particle Listings. + +[pp] Submodes of the $D^+ \rightarrow K^- 2\pi^+ \pi^0$ and $K_S^0 2\pi^+ \pi^-$ modes were studied by ANJOS 92C and COFFMAN 92B, but with at most 142 events for the first mode and 229 for the second – not enough for precise results. With nothing new for 18 years, we refer to our 2008 edition, Physics Letters **B667** 1 (2008), for those results. + +[qq] The unseen decay modes of the resonances are included. + +[rr] This is not a test for the $\Delta C=1$ weak neutral current, but leads to the $\pi^+\ell^+\ell^-$ final state. + +[ss] This mode is not a useful test for a $\Delta C=1$ weak neutral current because both quarks must change flavor in this decay. + +[tt] In the 2010 *Review*, the values for these quantities were given using a measure of the asymmetry that was inconsistent with the usual definition. + +[uu] This value is obtained by subtracting the branching fractions for 2-, 4- and 6-prongs from unity. + +[vv] This is the sum of our $K^- 2\pi^+ \pi^-$, $K^- 2\pi^+ \pi^- \pi^0$, $K^0 2\pi^+ 2\pi^-$, $K^+ 2K^- \pi^+$, $2\pi^+ 2\pi^-$, $2\pi^+ 2\pi^- \pi^0$, $K^+ K^- \pi^+ \pi^-$, and $K^+ K^- \pi^+ \pi^- \pi^0$, branching fractions. + +[xx] This is the sum of our $K^- 3\pi^+ 2\pi^-$ and $3\pi^+ 3\pi^-$ branching fractions. + +[yy] The branching fractions for the $K^- e^+ \nu_e$, $K^*(892)^- e^+ \nu_e$, $\pi^- e^+ \nu_e$, and $\rho^- e^+ \nu_e$ modes add up to $6.17 \pm 0.17\%$. + +[zz] This is a doubly Cabibbo-suppressed mode. + +[aaa] Submodes of the $D^0 \rightarrow K_S^0 \pi^+ \pi^- \pi^0$ mode with a $K^*$ and/or $\rho$ were studied by COFFMAN 92B, but with only 140 events. With nothing new for 18 years, we refer to our 2008 edition, Physics Letters **B667** 1 (2008), for those results. + +[bbb] This branching fraction includes all the decay modes of the resonance in the final state. + +[ccc] This limit is for either $D^0$ or $\bar{D}^0$ to $\rho e^-$. + +[ddd] This limit is for either $D^0$ or $\bar{D}^0$ to $\bar{\rho} e^+$. + +[eee] This is the purely $e^+$ semileptonic branching fraction: the $e^+$ fraction from $\tau^+$ decays has been subtracted off. The sum of our (non-$\tau$) $e^+$ exclusive fractions — an $e^+ \nu_e$ with an $\eta, \eta', \phi, K^0$, or $K^{*0}$ — is $5.99 \pm 0.31\%$. + +[fff] This fraction includes $\eta$ from $\eta'$ decays. + +[ggg] The sum of our exclusive $\eta'$ fractions — $\eta' e^+ \nu_e$, $\eta' \mu^+ \nu_\mu$, $\eta' \pi^+$, $\eta' \rho^+$, and $\eta' K^+$ — is $11.8 \pm 1.6\%$. + +[hhh] This branching fraction includes all the decay modes of the final-state resonance. + +[iii] A test for $u\bar{u}$ or $d\bar{d}$ content in the $D_s^+$. Neither Cabibbo-favored nor Cabibbo-suppressed decays can contribute, and $\omega - \phi$ mixing is an unlikely explanation for any fraction above about $2 \times 10^{-4}$. + +[iij] We decouple the $D_s^+ \rightarrow \phi \pi^+$ branching fraction obtained from mass projections (and used to get some of the other branching fractions) from the $D_s^+ \rightarrow \phi \pi^+$, $\phi \rightarrow K^+ K^-$ branching fraction obtained from the Dalitz-plot analysis of $D_s^+ \rightarrow K^+ K^- \pi^+$. That is, the ratio of +---PAGE_BREAK--- + +these two branching fractions is not exactly the $\phi \rightarrow K^{+}K^{-}$ branching fraction 0.491. + +[kkk] This is the average of a model-independent and a K-matrix parametrization of the $\pi^{+}\pi^{-}$ S-wave and is a sum over several $f_0$ mesons. + +[III] An $l$ indicates an e or a $\mu$ mode, not a sum over these modes. + +[nnn] An $CP(\pm 1)$ indicates the $CP=+1$ and $CP=-1$ eigenstates of the $D^0\bar{D}^0$ system. + +[ooo] D denotes $D^0$ or $\bar{D}^0$. + +[ppp] $D_{CP+}^* \text{ decays into } D^0\pi^0$ with the $D^0$ reconstructed in CP-even eigenstates $K^+K^-$ and $\pi^+\pi^-$. + +[qqq] $\bar{D}^{**}$ represents an excited state with mass $2.2 < M < 2.8 \text{ GeV/c}^2$. + +[rrr] $\chi_{c1}(3872)^+$ is a hypothetical charged partner of the $\chi_{c1}(3872)$. + +[sss] $\Theta(1710)^{++}$ is a possible narrow pentaquark state and $G(2220)$ is a possible glueball resonance. + +[ttt] $(\bar{\Lambda}_c^- p)_s$ denotes a low-mass enhancement near $3.35 \text{ GeV/c}^2$. + +[uuu] Stands for the possible candidates of $K^*(1410)$, $K_0^*(1430)$ and $K_2^*(1430)$. + +[vvv] $B^0$ and $B_S^0$ contributions not separated. Limit is on weighted average of the two decay rates. + +[xxx] This decay refers to the coherent sum of resonant and nonresonant $J^P = 0^+ K\pi$ components with $1.60 < m_{K\pi} < 2.15 \text{ GeV/c}^2$. + +[yyy] X(214) is a hypothetical particle of mass 214 MeV/c² reported by the HyperCP experiment, Physical Review Letters **94** 021801 (2005). + +[zzz] $\Theta(1540)^+$ denotes a possible narrow pentaquark state. + +[aaaa] Here S and P are the hypothetical scalar and pseudoscalar particles with masses of 2.5 GeV/c² and 214.3 MeV/c², respectively. + +[bbaa] These values are model dependent. + +[ccaa] Here "anything" means at least one particle observed. + +[ddaa] This is a $B(B^0 \rightarrow D^{*-} l^{+} \nu_l)$ value. + +[eeaa] $D^{**}$ stands for the sum of the $D(1^1P_1)$, $D(1^3P_0)$, $D(1^3P_1)$, $D(1^3P_2)$, $D(2^1S_0)$, and $D(2^1S_1)$ resonances. + +[ffaa] $D^{(*)}\overline{D^{(*)}}$ stands for the sum of $D^{*}\overline{D^{*}}$, $D^{*}\overline{D}$, $\overline{D^{*}}D$, and $\overline{D}\overline{D}$. + +[ggaa] X(3915) denotes a near-threshold enhancement in the $\omega J/\psi$ mass spectrum. + +[hhaa] Inclusive branching fractions have a multiplicity definition and can be greater than 100%. + +[iiaa] $D_I$ represents an unresolved mixture of pseudoscalar and tensor $D^{**}$ ($\bar{P}$-wave) states. + +[jjaa] Not a pure measurement. See note at head of $B_S^0$ Decay Modes. + +[kkaa] For $E_{\gamma} > 100 \text{ MeV}$. + +[llaa] Includes $p\bar{p}\pi^+\pi^-\gamma$ and excludes $p\bar{p}\eta$, $p\bar{p}\omega$, $p\bar{p}\eta'$. + +[nnaa] See the "Note on the $\eta(1405)$" in the $\eta(1405)$ Particle Listings in the Full Review of Particle Physics. + +[ooaa] For a narrow state A with mass less than 960 MeV. + +[ppaa] For a narrow scalar or pseudoscalar $A^0$ with mass 0.21–3.0 GeV. + +[qqaa] For a narrow resonance in the range $2.2 < M(X) < 2.8 \text{ GeV}$. +---PAGE_BREAK--- + +[rraa] $J^{PC}$ known by production in $e^{+}e^{-}$ via single photon annihilation. $I^{G}$ is not known; interpretation of this state as a single resonance is unclear because of the expectation of substantial threshold effects in this energy region. + +[ssaa] $2m_{\tau} < M(\tau^{+}\tau^{-}) < 9.2$ GeV + +[ttaa] $2 \text{ GeV} < m_{K^{+}K^{-}} < 3 \text{ GeV}$ + +[uuaa] X = scalar with $m < 8.0$ GeV + +[vvaa] $X\bar{X}$ = vectors with $m < 3.1$ GeV + +[xxaa] X and $\bar{X}$ = zero spin with $m < 4.5$ GeV + +[yyaa] $1.5 \text{ GeV} < m_{X} < 5.0 \text{ GeV}$ + +[zzaa] $201 \text{ MeV} < M(\mu^{+}\mu^{-}) < 3565 \text{ MeV}$ + +[aabb] $0.5 \text{ GeV} < m_{X} < 9.0 \text{ GeV},$ where $m_{X}$ is the invariant mass of the hadronic final state. + +[bbbb] Spectroscopic labeling for these states is theoretical, pending experimental information. + +[ccbb] $1.5 \text{ GeV} < m_{X} < 5.0 \text{ GeV}$ + +[ddbb] $1.5 \text{ GeV} < m_{X} < 5.0 \text{ GeV}$ + +[eebb] For $m_{\tau^+\tau^-}$ in the ranges 4.03–9.52 and 9.61–10.10 GeV. +---PAGE_BREAK--- + +N BARYONS + +(S = 0, I = 1/2) + +$p, N^+ = uud$; $n, N^0 = udd$ + +$$I(J^P) = \frac{1}{2}(\frac{1}{2}^+)$$ + +Mass $m = 1.00727646662 \pm 0.0000000009$ u (S = 3.1) + +Mass $m = 938.272081 \pm 0.000006$ MeV [a] + +$$\left|\frac{m_p - m_{\bar{p}}}{m_p}\right| < 7 \times 10^{-10}, \text{CL} = 90\% \text{ [b]}$$ + +$$\left|\frac{q_{\bar{p}}}{m_{\bar{p}}} - \left(\frac{q_p}{m_p}\right)\right| < 1.0000000000 \pm 0.0000000007$$ + +$$\left|q_p + q_{\bar{p}}\right|/e < 7 \times 10^{-10}, \text{CL} = 90\% \text{ [b]}$$ + +$$\left|q_p + q_e\right|/e < 1 \times 10^{-21} \text{ [c]}$$ + +Magnetic moment $\mu = 2.7928473446 \pm 0.0000000008$ $\mu_N$ + +($\mu_p + \mu_{\bar{p}}$) / $\mu_p$ = (0.002 $\pm$ 0.004) $\times 10^{-6}$ + +Electric dipole moment $d < 0.021 \times 10^{-23}$ ecm + +Electric polarizability $\alpha = (11.2 \pm 0.4) \times 10^{-4}$ fm$^3$ + +Magnetic polarizability $\beta = (2.5 \pm 0.4) \times 10^{-4}$ fm$^3$ (S = 1.2) + +Charge radius, $\mu p$ Lamb shift = 0.84087 $\pm$ 0.00039 fm [d] + +Charge radius = 0.8409 $\pm$ 0.0004 fm [d] + +Magnetic radius = $0.851 \pm 0.026$ fm [e] + +Mean life $\tau > 3.6 \times 10^{29}$ years, CL = 90% [$f$] ($p \to$ invisible mode) + +Mean life $\tau > 10^{31}$ to $10^{33}$ years [$f$] (mode dependent) + +See the "Note on Nucleon Decay" in our 1994 edition (Phys. Rev. **D50**, 1173) for a short review. + +The "partial mean life" limits tabulated here are the limits on $\tau/B_j$, where $\tau$ is the total mean life and $B_j$ is the branching fraction for the mode in question. For N decays, $p$ and $n$ indicate proton and neutron partial lifetimes. + +
p DECAY MODESPartial mean life
(1030 years)
Confidence levelp
(MeV/c)
Antilepton + meson
N → e+π> 5300 (n), > 16000 (p)90%459
N → μ+π> 3500 (n), > 7700 (p)90%453
N → νπ> 1100 (n), > 390 (p)90%459
p → e+η> 1000090%309
p → μ+η> 470090%297
n → νη> 15890%310
N → e+ρ> 217 (n), > 720 (p)90%149
N → μ+ρ> 228 (n), > 570 (p)90%113
N → νρ> 19 (n), > 162 (p)90%149
p → e+ω> 160090%143
p → μ+ω> 280090%105
n → νω> 10890%144
N → e+K> 17 (n), > 1000 (p)90%339
N → μ+K> 26 (n), > 1600 (p)90%329
N → νK> 86 (n), > 5900 (p)90%339
n → νKS0> 26090%338
p → e+K*(892)0> 8490%45
N → νK*(892)> 78 (n), > 51 (p)90%45
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Three (or more) leptons + +p → e⁺e⁺e⁻ +p → e⁺μ⁺μ⁻ +p → e⁺νν +n → e⁺e⁻ν +n → μ⁺e⁻ν +n → μ⁺μ⁻ν +p → μ⁺e⁺e⁻ +p → μ⁺μ⁺μ⁻ +p → μ⁺νν +p → e⁻μ⁺μ⁺ +n → 3ν +> 793 +> 359 +> 170 +> 257 +> 83 +> 79 +> 529 +> 675 +> 220 +> 6 +> 5 × 10⁻⁴ + +Inclusive modes + +N → e⁺ anything > 0.6 (n, p) +N → μ⁺ anything > 12 (n, p) +N → e⁺π⁰ anything > 0.6 (n, p) + +ΔB = 2 dinucleon modes + +The following are lifetime limits per iron nucleus. + +pp → π⁺π⁺ +pn → π⁺π⁰ +> 72.2 +> 170 + +90% +90% +90% +90% +90% +- +---PAGE_BREAK--- + +
Antilepton + mesons
p → e+π+π-> 8290%448
p → e+π0π0> 14790%449
n → e+π-π0> 5290%449
p → μ+π+π-> 13390%425
p → μ+π0π0> 10190%427
n → μ+π-π0> 7490%427
n → e+K0π-> 1890%319
Lepton + meson
n → e-π+> 6590%459
n → μ-π+> 4990%453
n → e-ρ+> 6290%150
n → μ-ρ+> 790%115
n → e-K+> 3290%340
n → μ-K+> 5790%330
Lepton + mesons
p → e-π+π+> 3090%448
n → e-π+π0> 2990%449
p → μ-π+π+> 1790%425
n → μ-π+π0> 3490%427
p → e-π+K+> 7590%320
p → μ-π+K+> 24590%279
Antilepton + photon(s)
p → e+γ> 67090%469
p → μ+γ> 47890%463
n → νγ> 55090%470
p → e+γγ> 10090%469
n → νγγ> 21990%470
Antilepton + single massless
p → e+X> 79090%-
p → μ+X> 41090%-
nn → π+ π-> 0.790%-
nn → π0 π0> 40490%-
pp → K+ K+> 17090%-
pp → e+ e+> 5.890%-
pp → e+ μ+> 3.690%-
pp → μ+ μ+> 1.790%-
pn → e+ ν> 26090%-
pn → μ+ ν̄> 20090%-
pn → τ+ ν̄τ> 2990%-
nn → νe ν̄e> 1.490%-
nn → νμ ν̄μ> 1.490%-
pn → invisible> 2.1 × 10-590%-
pp → invisible> 5 × 10-590%-
+ +## P DECAY MODES + +
ModePartial mean life
(years)
p
Confidence level(MeV/c)
p̅ → e-γ> 7 × 10590%469
p̅ → μ-γ> 5 × 10490%463
p̅ → e-π0> 4 × 10590%459
p̅ → μ-π0> 5 × 10490%453
p̅ → e-η> 2 × 10490%309
p̅ → μ-η> 8 × 10390%297
p̅ → e-KS0> 90090%337
p̅ → μ-KS0> 4 × 10390%326
p̅ → e-KL0> 9 × 10390%337
p̅ → μ-KL0> 7 × 10390%326
p̅ → e-γγ> 2 × 10490%469
p̅ → μ-γγ> 2 × 10490%463
p̅ → e-ω> 20090%143
+ +$$I(J^P) = \frac{1}{2}(1^+)$$ + +Mass $m = 1.0086649159 \pm 0.0000000005$ u + +Mass $m = 939.565413 \pm 0.000006$ MeV [a] + +$(m_n - m_\pi)/m_n = (9 \pm 6) \times 10^{-5}$ + +$m_n - m_p = 1.2933321 \pm 0.0000005$ MeV +$= 0.00138844919(45)$ u + +Mean life $\tau = 879.4 \pm 0.6$ s (S = 1.6) + +$c\tau = 2.6362 \times 10^8$ km + +Magnetic moment $\mu = -1.9130427 \pm 0.0000005$ $\mu_N$ + +Electric dipole moment $d < 0.18 \times 10^{-25}$ ecm, CL = 90% + +Mean-square charge radius $\langle r_n^2 \rangle = -0.1161 \pm 0.0022$ fm$^2$ (S = 1.3) + +Magnetic radius $\sqrt{\langle r_M^2 \rangle} = 0.864^{+0.009}_{-0.008}$ fm + +Electric polarizability $\alpha = (11.8 \pm 1.1) \times 10^{-4}$ fm$^3$ + +Magnetic polarizability $\beta = (3.7 \pm 1.2) \times 10^{-4}$ fm$^3$ + +Charge $q = (-0.2 \pm 0.8) \times 10^{-21}$ e + +Mean $n\bar{n}$-oscillation time $>$ $8.6 \times 10^7$ s, CL = 90% (free n) + +Mean $n\bar{n}$-oscillation time $>$ $2.7 \times 10^8$ s, CL = 90% [g] (bound n) + +Mean $n'n'$-oscillation time $>$ $448$ s, CL = 90% [h] +---PAGE_BREAK--- + +pe⁻νe decay parameters [l] + +$$ +\begin{align*} +\lambda &\equiv g_A / g_V = -1.2756 \pm 0.0013 && (S = 2.6) \\ +A &= -0.11958 \pm 0.00021 && (S = 1.2) \\ +B &= 0.9807 \pm 0.0030 \\ +C &= -0.2377 \pm 0.0026 \\ +a &= -0.1059 \pm 0.0028 \\ +\phi_{AV} &= (180.017 \pm 0.026)^{\circ} [J] \\ +D &= (-1.2 \pm 2.0) \times 10^{-4} [k] \\ +R &= 0.004 \pm 0.013 [k] +\end{align*} +$$ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
n DECAY MODESFraction (Γj/Γ)Confidence levelρ (MeV/c)
pe-ν̅e100 %1
pe-ν̅eγ[l] ( 9.2±0.7) × 10-31
hydrogen-atom ν̅e< 2.7 × 10-395%1.19
Charge conservation (Q) violating mode
e&overline{ν}eQ < 8 × 10-2768%1
+ +N(1440) 1/2⁺ + +$I(J^P) = \frac{1}{2}(\frac{1}{2}^{+})$ + +Re(pole position) = 1360 to 1380 (≈ 1370) MeV +-2Im(pole position) = 160 to 190 (≈ 175) MeV +Breit-Wigner mass = 1410 to 1470 (≈ 1440) MeV +Breit-Wigner full width = 250 to 450 (≈ 350) MeV + +The following branching fractions are our estimates, not fits or averages. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ N(1440) DECAY MODES + + Fraction (Γ + + f + + /Γ) + + ρ (MeV/c) +
+ Nπ + + 55–75 % + + 398 +
+ Nη + + <1 % + + † +
+ Nππ + + 17–50 % + + 347 +
+ Δ(1232)π, P-wave + + 6–27 % + + 147 +
+ Nσ + + 11–23 % + + – +
+ pγ, helicity=1/2 + + 0.035–0.048 % + + 414 +
+ nγ, helicity=1/2 + + 0.02–0.04 % + + 413 +
+ +N(1520) $3/2^-$ + +$I(J^P) = \frac{1}{2}(3/2^-)$ + +Re(pole position) = 1505 to 1515 (≈ 1510) MeV +-2Im(pole position) = 105 to 120 (≈ 110) MeV +Breit-Wigner mass = 1510 to 1520 (≈ 1515) MeV +Breit-Wigner full width = 100 to 120 (≈ 110) MeV + +The following branching fractions are our estimates, not fits or averages. + + + + + + + + + + + +
N(1520) DECAY MODESFraction (Γf/Γ)ρ (MeV/c)
55–65 %453
0.07–0.09 %142
Nππ25–35 %410
Δ(1232)π22–34 %225
Δ(1232)π, S-wave15–23 %225
Δ(1232)π, D-wave7–11 %225
+---PAGE_BREAK--- + +
< 2 %-
0.31-0.52 %467
pγ, helicity=1/20.01-0.02 %467
pγ, helicity=3/20.30-0.50 %467
0.30-0.53 %466
nγ, helicity=1/20.04-0.10 %466
nγ, helicity=3/20.25-0.45 %466
+ +**N(1535) 1/2-** + +$$I(J^P) = \frac{1}{2}(\frac{1}{2}^-)$$ + +Re(pole position) = 1500 to 1520 (≈ 1510) MeV +-2Im(pole position) = 110 to 150 (≈ 130) MeV +Breit-Wigner mass = 1515 to 1545 (≈ 1530) MeV +Breit-Wigner full width = 125 to 175 (≈ 150) MeV + +The following branching fractions are our estimates, not fits or averages. + +
N(1535) DECAY MODES
Fraction (ΓI/Γ)p (MeV/c)
32-52 %464
30-55 %176
Nππ3-14 %422
Δ(1232)π, D-wave1-4 %240
2-10 %-
N(1440)π5-12 %
pγ, helicity=1/20.15-0.30 %477
nγ, helicity=1/20.01-0.25 %477
+ +**N(1650) 1/2-, N(1675) 5/2-, N(1680) 5/2+, N(1700) 3/2-, N(1710) 1/2+, N(1720) 3/2+, N(1875) 3/2-, N(1880) 1/2+, N(1895) 1/2-, N(1900) 3/2+, N(2060) 5/2-, N(2100) 1/2+, N(2120) 3/2-, N(2190) 7/2-, N(2220) 9/2+, N(2250) 9/2-, N(2600) 11/2-** + +The *N* resonances listed above are omitted from this Booklet but not from the Summary Table in the full *Review*. + +## Δ BARYONS + +($S = 0, I = 3/2$) + +$\Delta^{++} = uuu, \quad \Delta^{+} = uud, \quad \Delta^{0} = udd, \quad \Delta^{-} = ddd$ + +**Δ(1232) 3/2+** + +$$I(J^P) = \frac{3}{2}(\frac{3}{2}^+)$$ + +Re(pole position) = 1209 to 1211 (≈ 1210) MeV +-2Im(pole position) = 98 to 102 (≈ 100) MeV +Breit-Wigner mass (mixed charges) = 1230 to 1234 (≈ 1232) MeV +Breit-Wigner full width (mixed charges) = 114 to 120 (≈ 117) MeV +---PAGE_BREAK--- + +The following branching fractions are our estimates, not fits or averages. + +
Δ(1232) DECAY MODESFraction (Γf/Γ)p (MeV/c)
99.4 %229
0.55–0.65 %259
Nγ, helicity=1/20.11–0.13 %259
Nγ, helicity=3/20.44–0.52 %259
pe+e( 4.2±0.7) × 10−5259
+ +$$ \Delta(1600) \ 3/2^+ \qquad I(J^P) = \frac{3}{2}(3^+) $$ + +Re(pole position) = 1460 to 1560 (≈ 1510) MeV +-2Im(pole position) = 200 to 340 (≈ 270) MeV +Breit-Wigner mass = 1500 to 1640 (≈ 1570) MeV +Breit-Wigner full width = 200 to 300 (≈ 250) MeV + +The following branching fractions are our estimates, not fits or averages. + +
Δ(1600) DECAY MODESFraction (Γf/Γ)p (MeV/c)
8–24 %492
Nππ75–90 %454
Δ(1232)π73–83 %276
Δ(1232)π, P-wave72–82 %276
Δ(1232)π, F-wave<2 %276
N(1440)π, P-wave15–25 %
0.001–0.035 %505
Nγ, helicity=1/20.0–0.02 %505
Nγ, helicity=3/20.001–0.015 %505
+ +$$ \Delta(1620) \ 1/2^- \qquad I(J^P) = \frac{3}{2}(1^-) $$ + +Re(pole position) = 1590 to 1610 (≈ 1600) MeV +-2Im(pole position) = 100 to 140 (≈ 120) MeV +Breit-Wigner mass = 1590 to 1630 (≈ 1610) MeV +Breit-Wigner full width = 110 to 150 (≈ 130) MeV + +The following branching fractions are our estimates, not fits or averages. + +
Δ(1620) DECAY MODESFraction (Γf/Γ)p (MeV/c)
25–35 %520
Nππ55–80 %484
Δ(1232)π, D-wave52–72 %311
N(1440)π3–9 %98
Nγ, helicity=1/20.03–0.10 %532
+ +See Particle Listings for 2 decay modes that have been seen / not seen. + +**Δ(1700) 3/2-, Δ(1900) 1/2-, Δ(1905) 5/2+, Δ(1910) 1/2+, Δ(1920) 3/2+, Δ(1930) 5/2-, Δ(1950) 7/2+, Δ(2200) 7/2-, Δ(2420) 11/2+** + +The Δ resonances listed above are omitted from this Booklet but not from the Summary Table in the full *Review*. +---PAGE_BREAK--- + +# Λ BARYONS +(S = -1, I = 0) + +Λ⁰ = uds + +$$I(J^P) = 0(\frac{1}{2}^+)$$ + +Mass $m = 1115.683 \pm 0.006$ MeV + +($m_Λ - m_Π$) / $m_Λ$ = (-0.1 ± 1.1) × 10⁻⁵ (S = 1.6) + +Mean life $\tau$ = (2.632 ± 0.020) × 10⁻¹⁰ s (S = 1.6) + +($\tau_Λ - \tau_Π$) / $\tau_Λ$ = -0.001 ± 0.009 + +$c\tau$ = 7.89 cm + +Magnetic moment $\mu$ = -0.613 ± 0.004 $\mu_N$ + +Electric dipole moment $d < 1.5 \times 10^{-16}$ e cm, CL = 95% + +## Decay parameters + +$p\pi^-$     $\alpha_- = 0.732 \pm 0.014$ (S = 2.3) + +$\bar{p}\pi^+$     $\alpha_+ = -0.758 \pm 0.012$ + +$\bar{\alpha}_0$ FOR $\bar{\Lambda} \rightarrow \bar{n}\pi^0$ = -0.692 ± 0.017 + +$p\pi^-$     $\phi_- = (-6.5 \pm 3.5)^\circ$ + +"     $\gamma_- = 0.76$ [$n$] + +"     $\Delta_- = (8 \pm 4)^\circ$ [$n$] + +$\bar{\alpha}_0 / \alpha_+$ in $\bar{\Lambda} \rightarrow \bar{n}\pi^0$, $\bar{\Lambda} \rightarrow \bar{p}\pi^+ =$ 0.913 ± 0.030 + +$R = |G_E/G_M|$ in $\Lambda \rightarrow p\pi^-$, $\bar{\Lambda} \rightarrow \bar{p}\pi^+ =$ 0.96 ± 0.14 + +$\Delta\Phi = \Phi_E - \Phi_M$ in $\Lambda \rightarrow p\pi^-$, $\bar{\Lambda} \rightarrow \bar{p}\pi^+ =$ 37 ± 13 degrees + +$n\pi^0$     $\alpha_0 = 0.74 \pm 0.05$ + +$p e^- \nu_e$     $g_A/g_V = -0.718 \pm 0.015$ [$l$] + +
Λ DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
-(63.9 ± 0.5)%101
0(35.8 ± 0.5)%104
(1.75±0.15) × 10-3162
-γ[o] (8.4 ± 1.4) × 10-4101
pe-νe(8.32±0.14) × 10-4163
-νμ(1.57±0.35) × 10-4131
+ +## Lepton (L) and/or Baryon (B) number violating decay modes + +
π+e-L,B< 6× 10-790%549
π+μ-L,B< 6× 10-790%544
π-e+L,B< 4× 10-790%549
π-μ+L,B< 6× 10-790%544
K+e-L,B< 2× 10-690%449
K+μ-L,B< 3× 10-690%441
K-e+L,B< 2× 10-690%449
K-μ+L,B< 3× 10-690%441
KS0ν̄L,B< 2× 10-590%447
+B< 9× 10-790%101
+---PAGE_BREAK--- + +$$ +\Lambda(1405) \ 1/2^{-} +$$ + +$$ +I(J^P) = 0(\frac{1}{2}^-) +$$ + +Mass $m = 1405.1_{-1.0}^{+1.3}$ MeV + +Full width $\Gamma = 50.5 \pm 2.0$ MeV + +Below $\bar{\kappa}N$ threshold + + + + + + + + + + + + + + + + +
+ Λ(1405) DECAY MODES + + Fraction (Γj/Γ) + + p (MeV/c) +
+ Σπ + + 100 % + + 155 +
+ +$$ +\Lambda(1520) \ 3/2^{-} \qquad I(J^{P}) = 0(\frac{3}{2}^{-}) +$$ + +Mass $m = 1518$ to $1520$ ($\approx 1519$) MeV [$p$] + +Full width $\Gamma = 15$ to $17$ ($\approx 16$) MeV [$p$] + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ Λ(1520) DECAY MODES + + Fraction (Γ + + j + + /Γ) + + p (MeV/c) +
+ NK + + (45 ±1 ) % + + 242 +
+ Σπ + + (42 ±1 ) % + + 268 +
+ Λππ + + (10 ±1 ) % + + 259 +
+ Σππ + + ( 0.9 ±0.1 ) % + + 168 +
+ Λγ + + ( 0.85±0.15 ) % + + 350 +
+ +Λ(1600) 1/2+, Λ(1670) 1/2-, Λ(1690) 3/2-, Λ(1800) 1/2-, Λ(1810) 1/2+, +Λ(1820) 5/2+, Λ(1830) 5/2-, Λ(1890) 3/2+, Λ(2100) 7/2-, Λ(2110) 5/2+, +Λ(2350) 9/2+ + +The Λ resonances listed above are omitted from this Booklet but not +from the Summary Table in the full Review. + +Σ BARYONS + +(S = -1, I = 1) + +Σ⁺ = uus, Σ⁰ = uds, Σ⁻ = dds + +$$ +I(J^P) = 1(\frac{1}{2}^{+\uparrow}) +$$ + +Mass $m = 1189.37 \pm 0.07$ MeV ($S = 2.2$) + +Mean life $\tau = (0.8018 \pm 0.0026) \times 10^{-10}$ s + +$c\tau = 2.404 \text{ cm}$ + +$(\tau_{\Sigma^{+}} - \tau_{\Sigma^{-}})/\tau_{\Sigma^{+}} = -0.0006 \pm 0.0012$ + +Magnetic moment $\mu = 2.458 \pm 0.010 \mu_N$ ($S = 2.1$) + +($\mu_{\Sigma^+} + \mu_{\Sigma^-}) / \mu_{\Sigma^+} = 0.014 \pm 0.015$ + +$\Gamma(\Sigma^+ \rightarrow n\ell^+ \nu)/\Gamma(\Sigma^- \rightarrow n\ell^- \bar{\nu}) < 0.043$ + +Decay parameters + +$$ +\rho\pi^0 & \alpha_0 = -0.980_{-0.015}^{+0.017} \\ +" & \phi_0 = (36 \pm 34)^{\circ} \\ +" & \gamma_0 = 0.16 [n] \\ +" & \Delta_0 = (187 \pm 6)^{\circ} [n] +$$ +---PAGE_BREAK--- + +$$n\pi^+ \qquad \alpha_+ = 0.068 \pm 0.013$$ + +" \qquad $\phi_+ = (167 \pm 20)^\circ$ ($S = 1.1$) + +" \qquad $\gamma_+ = -0.97$ [$n$] + +" \qquad $\Delta_+ = (-73^{+133}_{-10})^\circ$ [$n$] + +$$p\gamma \qquad \alpha_\gamma = -0.76 \pm 0.08$$ + +
Σ+ DECAY MODESFraction (ΓI/Γ)Confidence levelp
(MeV/c)
0(51.57±0.30) %189
+(48.31±0.30) %185
( 1.23±0.05) × 10-3225
+γ[0] ( 4.5 ± 0.5 ) × 10-4185
Λe+νe( 2.0 ± 0.5 ) × 10-571
+ +**ΔS = ΔQ (SQ) violating modes or** + +**ΔS = 1 weak neutral current (SI) modes** + +
n e+ νeSQ< 5× 10-690%224
n μ+ νμSQ< 3.0× 10-5
p e+ e-SI< 7× 10-690%202
p μ+ μ-SI( 2.4 +1.7-1.3 ) × 10-8
+ +$$I(J^P) = 1(\frac{1}{2}^+)$$ + +Mass $m = 1192.642 \pm 0.024$ MeV + +$m_{\Sigma^-} - m_{\Sigma^0} = 4.807 \pm 0.035$ MeV ($S = 1.1$) + +$m_{\Sigma^0} - m_{\Lambda} = 76.959 \pm 0.023$ MeV + +Mean life $\tau = (7.4 \pm 0.7) \times 10^{-20}$ s + +$c\tau = 2.22 \times 10^{-11}$ m + +Transition magnetic moment $|\mu\Sigma_A| = 1.61 \pm 0.08$ $\mu_N$ + +
Σ⁰ DECAY MODESFraction (ΓI/Γ)Confidence levelp
(MeV/c)
Λγ100 %74
Λγγ< 3 %90%74
Λe⁺e⁻[q] 5 × 10⁻³
+ +$$I(J^P) = 1(\frac{1}{2}^+)$$ + +Mass $m = 1197.449 \pm 0.030$ MeV ($S = 1.2$) + +$m_{\Sigma^-} - m_{\Sigma^+} = 8.08 \pm 0.08$ MeV ($S = 1.9$) + +$m_{\Sigma^-} - m_{\Lambda} = 81.766 \pm 0.030$ MeV ($S = 1.2$) + +Mean life $\tau = (1.479 \pm 0.011) \times 10^{-10}$ s ($S = 1.3$) + +$c\tau = 4.434$ cm + +Magnetic moment $\mu = -1.160 \pm 0.025$ $\mu_N$ ($S = 1.7$) + +$\Sigma^-$ charge radius $= 0.78 \pm 0.10$ fm + +**Decay parameters** + +$$n\pi^- \qquad \alpha_- = -0.068 \pm 0.008$$ + +" \qquad $\phi_- = (10 \pm 15)^\circ$ + +" \qquad $\gamma_- = 0.98$ [$n$] + +" \qquad $\Delta_- = (249^{+12}_{-120})^\circ$ [$n$] +---PAGE_BREAK--- + +$$n e^{-} \bar{\nu}_{e} \qquad g_{A}/g_{V} = 0.340 \pm 0.017 [f]$$ + +" $f_2(0)/f_1(0) = 0.97 \pm 0.14$ + +" $D = 0.11 \pm 0.10$ + +$$\Lambda e^{-} \bar{\nu}_{e} \qquad g_V/g_A = 0.01 \pm 0.10 [f] \quad (S = 1.5)$$ + +" $g_W M/g_A = 2.4 \pm 1.7 [f]$ + +
Σ- DECAY MODESFraction (Γf/Γ)p (MeV/c)
-(99.848±0.005) %193
-γ[0] ( 4.6 ±0.6 ) × 10-4193
ne-νe( 1.017±0.034 ) × 10-3230
-νμ( 4.5 ±0.4 ) × 10-4210
Λe-νe( 5.73 ±0.27 ) × 10-579
+ +$$\Sigma(1385) 3/2^+ \qquad I(J^P) = 1(\frac{3}{2}^+)$$ + +$$\Sigma(1385)^{+} \text{mass } m = 1382.80 \pm 0.35 \text{ MeV} \quad (\text{S} = 1.9)$$ + +$$\Sigma(1385)^{0} \text{ mass } m = 1383.7 \pm 1.0 \text{ MeV} \quad (\text{S} = 1.4)$$ + +$$\Sigma(1385)^{-} \text{mass } m = 1387.2 \pm 0.5 \text{ MeV} \quad (\text{S} = 2.2)$$ + +$$\Sigma(1385)^{+} \text{full width } \Gamma = 36.0 \pm 0.7 \text{ MeV}$$ + +$$\Sigma(1385)^{0} \text{ full width } \Gamma = 36 \pm 5 \text{ MeV}$$ + +$$\Sigma(1385)^{-} \text{full width } \Gamma = 39.4 \pm 2.1 \text{ MeV} \quad (\text{S} = 1.7)$$ + +Below K N threshold + +
Σ(1385) DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
Λπ(87.0 ±1.5)%208
Σπ(11.7 ±1.5)%129
Λγ(1.25+0.13-0.12)%241
Σ+γ(7.0 ±1.7) × 10-3180
Σ-γ< 2.4 × 10-490%173
+ +$$\Sigma(1660) 1/2^+ \qquad I(J^P) = 1(\frac{1}{2}^+)$$ + +Re(pole position) = 1585 ± 20 MeV +-2Im(pole position) = 290+140-40 MeV +Mass *m* = 1640 to 1680 (≈ 1660) MeV +Full width Γ = 100 to 300 (≈ 200) MeV + +
Σ(1660) DECAY MODESFraction (Γf/Γ)p (MeV/c)
NK̄0.05 to 0.15 (≈ 010)405
Λπ(35 ± 12)%440
Σπ(37 ± 10)%387
Σσ(20 ± 8)%-
Λ(1405)π(4.0 ± 2.0)%199
+ +$\Sigma(1670)~3/2^-, \Sigma(1750)~1/2^-, \Sigma(1775)~5/2^-, \Sigma(1915)~5/2^+, \\ +\Sigma(1940)~3/2^-, \Sigma(2030)~7/2^+, \Sigma(2250)$ + +The Σ resonances listed above are omitted from this Booklet but not +from the Summary Table in the full *Review*. +---PAGE_BREAK--- + +# Ξ BARYONS +(S = -2, I = 1/2) + +Ξ⁰ = uss, Ξ⁻ = dss + +$$ \Xi^0 \qquad I(J^P) = \frac{1}{2}(1^+) $$ + +P is not yet measured; + is the quark model prediction. + +Mass $m = 1314.86 \pm 0.20$ MeV + +$m_{\Xi^{-}} - m_{\Xi^{0}} = 6.85 \pm 0.21$ MeV + +Mean life $\tau = (2.90 \pm 0.09) \times 10^{-10}$ s + +$c\tau = 8.71$ cm + +Magnetic moment $\mu = -1.250 \pm 0.014$ $\mu_N$ + +## Decay parameters + +
Λπ0α = -0.356 ± 0.011
"φ = (21 ± 12)°
"γ = 0.85 [n]
"Δ = (218+12-19)° [n]
Λγα = -0.70 ± 0.07
Λe+ e-α = -0.8 ± 0.2
Σ0γα = -0.69 ± 0.06
Σ+e- ν̅eg1(0)/f1(0) = 1.22 ± 0.05
Σ+ e- ν̅ef2(0)/f1(0) = 2.0 ± 0.9
+ +
Ξ0 DECAY MODES
Fraction (ΓI/Γ)Confidence level$p$(MeV/c)
Λπ0(99.524 ± 0.012) %135
Λγ( 1.17 ± 0.07 ) × 10-3184
Λe+ e-( 7.6 ± 0.6 ) × 10-6184
Σ0γ( 3.33 ± 0.10 ) × 10-3117
Σ+e- ν̅e( 2.52 ± 0.08 ) × 10-4120
Σ+ μ- ν̅μ( 2.33 ± 0.35 ) × 10-664
+ +$\Delta S = \Delta Q (SQ)$ violating modes or +$\Delta S = 2$ forbidden (S2) modes + +
Σ-e+νeSQ < 9× 10-490%112
Σ-μ+νμSQ < 9× 10-490%49
$p\pi^{-}$S2 < 8× 10-690%299
$p\bar{\nu}_{e}$S2 < 1.3× 10-3323
$p\mu^{-}\bar{\nu}_{\mu}$S2 < 1.3× 10-3309
+ +$$ \Xi^{-} \qquad I(J^{P}) = \frac{1}{2}(1^{+}) $$ + +P is not yet measured; + is the quark model prediction. + +Mass $m = 1321.71 \pm 0.07$ MeV + +$(m_{\Xi^{-}} - m_{\Xi^{+}}) / m_{\Xi^{-}} = (-3 \pm 9) \times 10^{-5}$ + +Mean life $\tau = (1.639 \pm 0.015) \times 10^{-10}$ s + +$c\tau = 4.91$ cm + +$(\tau_{\Xi^{-}} - \tau_{\Xi^{+}}) / \tau_{\Xi^{-}} = -0.01 \pm 0.07$ + +Magnetic moment $\mu = -0.6507 \pm 0.0025$ $\mu_N$ + +$(\mu_{\Xi^{-}} + \mu_{\Xi^{+}}) / |\mu_{\Xi^{-}}| = +0.01 \pm 0.05$ +---PAGE_BREAK--- + +Decay parameters + +$$ +\begin{align*} +\Lambda\pi^{-} & \qquad \alpha = -0.401 \pm 0.010 \\ +[\alpha(\Xi^{-})\alpha_{-}(\Lambda) - \alpha(\Xi^{+})\alpha_{+}(\bar{\Lambda})] / [\text{sum}] &= (0 \pm 7) \times 10^{-4} \\ +\phi & = (-2.1 \pm 0.8)^{\circ} \\ +\gamma & = 0.89 [n] \\ +\Delta & = (175.9 \pm 1.5)^{\circ} [n] \\ +\Lambda e^{-}\bar{\nu}_{e} & \qquad g_{A}/g_{V} = -0.25 \pm 0.05 [l] +\end{align*} +$$ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Ξ- DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
Λπ-(99.887 ± 0.035) %140
Σ-γ( 1.27 ± 0.23 ) × 10-4118
Λe-ν̅e( 5.63 ± 0.31 ) × 10-4190
Λμ-ν̅μ( 3.5 +3.5-2.2 ) × 10-4163
Σ0e-ν̅e( 8.7 ± 1.7 ) × 10-5123
Σ0μ-ν̅μ< 890%70
Ξ0e-ν̅e< 2.390%7
ΔS = 2 forbidden (S2) modes
-S2 < 1.9× 10-590%
n e-ν̅eS2 < 3.2× 10-390%
-ν̅μS2 < 1.5%90%
-π-S2 < 4× 10-490%
-e-ν̅eS2 < 4× 10-490%
-μ-ν̅μS2 < 4× 10-490%
-μ-L < 4× 10-890%
+ +$$ +I(J^P) = \frac{1}{2}(3^+) +$$ + +$$ +\begin{align*} +\Xi(1530)^0 \text{ mass } m &= 1531.80 \pm 0.32 \text{ MeV} && (S = 1.3) \\ +\Xi(1530)^- \text{ mass } m &= 1535.0 \pm 0.6 \text{ MeV} \\ +\Xi(1530)^0 \text{ full width } \Gamma &= 9.1 \pm 0.5 \text{ MeV} \\ +\Xi(1530)^- \text{ full width } \Gamma &= 9.9^{+1.7}_{-1.9} \text{ MeV} +\end{align*} +$$ + + + + + + + + + + + + + + + + + + + + + + + + +
Ξ(1530) DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
Ξπ100 %158
Ξγ<3.7 %90%202
+ +The Ξ resonances listed above are omitted from this Booklet but not +from the Summary Table in the full Review. +---PAGE_BREAK--- + +## Ω BARYONS +(S = -3, I = 0) + +$$ \Omega^{-} = sss $$ + +$$ I(J^P) = 0(\frac{3}{2}^{+}) $$ + +$J^P = \frac{3}{2}^+$ is the quark-model prediction; and $J = 3/2$ is fairly well established. + +Mass $m = 1672.45 \pm 0.29$ MeV + +($m_{\Omega^{-}} - m_{\bar{\Omega}^{+}}$) / $m_{\Omega^{-}} = (-1 \pm 8) \times 10^{-5}$ + +Mean life $\tau = (0.821 \pm 0.011) \times 10^{-10}$ s + +$c\tau = 2.461$ cm + +($\tau_{\Omega^{-}} - \tau_{\bar{\Omega}^{+}}$) / $\tau_{\Omega^{-}} = 0.00 \pm 0.05$ + +Magnetic moment $\mu = -2.02 \pm 0.05$ $\mu_N$ + +**Decay parameters** + +$\alpha(\Omega^{-}) \quad \alpha_{-}(A)$ FOR $\Omega^{-} \rightarrow \Lambda K^{-} = 0.0115 \pm 0.0015$ + +$\Lambda K^{-} \quad \alpha = 0.0157 \pm 0.0021$ + +$\Lambda K^{-}, \bar{\Lambda} K^{+}$ ($\alpha + \bar{\alpha})/(\alpha - \bar{\alpha}) = -0.02 \pm 0.13$ + +$\Xi^{0}\pi^{-} \quad \alpha = 0.09 \pm 0.14$ + +$\Xi^{-}\pi^{0} \quad \alpha = 0.05 \pm 0.21$ + +
Ω- DECAY MODESFraction (Γj/Γ)Confidence levelp
(MeV/c)
ΛK-(67.8±0.7) %211
Ξ0π-(23.6±0.7) %294
Ξ-π0(8.6±0.4) %289
Ξ-π+π-(3.7+0.7-0.6 × 10-4)189
Ξ(1530)0π-< 7 × 10-590%17
Ξ0e-νe(5.6±2.8) × 10-3319
Ξ-γ< 4.6 × 10-490%314
ΔS = 2 forbidden (S2) modes
Λπ-S2 < 2.9 × 10-690%449
+ +$$ I(J^P) = 0(?^-) $$ + +Mass $m = 2012.4 \pm 0.9$ MeV + +Full width $\Gamma = 6.4_{-2.6}^{+3.0}$ MeV + +
Ω(2012)- DECAY MODESFraction (Γj/Γ)Confidence levelp
(MeV/c)
Ξ0K-DEFINED AS 1
0.83±0.21
403
Ξ-K0392
Ξ0π0K-245
Ξ0π-R0230
Ξ-π+K-224
+---PAGE_BREAK--- + +$$ +\Omega(2250)^- \qquad I(J^P) = 0(??) +$$ + +Mass $m = 2252 \pm 9$ MeV + +Full width $\Gamma = 55 \pm 18$ MeV + +CHARMED BARYONS +(C = +1) + +$$ +\Lambda_c^+ = udc, \quad \Sigma_c^{++} = uuc, \quad \Sigma_c^+ = udc, \quad \Sigma_c^0 = ddc, +$$ + +$$ +\Xi_c^+ = usc, \quad \Xi_c^0 = dsc, \quad \Omega_c^0 = ssc +$$ + +$$ +\Lambda_c^+ \qquad I(J^P) = 0(\frac{1}{2}^+) +$$ + +Mass $m = 2286.46 \pm 0.14$ MeV + +Mean life $\tau = (202.4 \pm 3.1) \times 10^{-15}$ s ($S = 1.7$) + +$c\tau = 60.7~\mu m$ + +Decay asymmetry parameters + +$$ +\Lambda\pi^{+} & \alpha = -0.84 \pm 0.09 \\ +\Sigma^{+}\pi^{0} & \alpha = -0.55 \pm 0.11 \\ +\alpha & \text{FOR } \Lambda_{c}^{+} \rightarrow \Sigma^{0}\pi^{+} = -0.73 \pm 0.18 \\ +\Lambda l^{+} \nu_{e} & \alpha = -0.86 \pm 0.04 \\ +\alpha & \text{FOR } \Lambda_{c}^{+} \rightarrow pK_{S}^{0} = 0.2 \pm 0.5 \\ +(\alpha + \bar{\alpha})/(\alpha - \bar{\alpha}) & \text{in } \Lambda_{c}^{+} \rightarrow \Lambda\pi^{+}, \bar{\Lambda}_{c}^{-} \rightarrow \bar{\Lambda}\pi^{-} = -0.07 \pm 0.31 \\ +(\alpha + \bar{\alpha})/(\alpha - \bar{\alpha}) & \text{in } \Lambda_{c}^{+} \rightarrow \Lambda e^{+} \nu_{e}, \bar{\Lambda}_{c}^{-} \rightarrow \bar{\Lambda} e^{-} \nu_{e} = 0.00 \pm 0.04 \\ +A_{CP}(\Lambda X) & \text{in } \Lambda_{c} \rightarrow \Lambda X, \bar{\Lambda}_{c} \rightarrow \bar{\Lambda} X = (2 \pm 7)\% \\ +\Delta A_{CP} & = A_{CP}(\Lambda_{c}^{+} \rightarrow pK^{+}K^{-}) - A_{CP}(\Lambda_{c}^{+} \rightarrow p\pi^{+}\pi^{-}) = (0.3 \pm 1.1)\% +$$ + +Branching fractions marked with a footnote, e.g. [a], have been corrected for decay modes not observed in the experiments. For example, the submode fraction $\Lambda_c^+ \to p\bar{K}^*(892)^0$ seen in $\Lambda_c^+ \to pK^- \pi^+$ has been multiplied up to include $\bar{K}^*(892)^0 \to \bar{K}^0 \pi^0$ decays. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Λ+c DECAY MODESFraction (Γi/Γ)Scale factor/
Confidence level
p
(MeV/c)
Hadronic modes with a p or n: S = -1 final states
p K0S( 1.59 ± 0.08 ) %S=1.1873
p K-π+( 6.28 ± 0.32 ) %S=1.4823
p K*(892)0[r] ( 1.96 ± 0.27 ) %685
Δ(1232)++ K-( 1.08 ± 0.25 ) %710
Λ(1520)π+[r] ( 2.2 ± 0.5 ) %628
p K-π+nonresonant( 3.5 ± 0.4 ) %823
p K0Sπ0( 1.97 ± 0.13 ) %S=1.1823
n K0Sπ+( 1.82 ± 0.25 ) %821
p K0Sn( 1.6 ± 0.4 ) %568
p K0Sπ+π-( 1.60 ± 0.12 ) %S=1.1754
p K-π+π0( 4.46 ± 0.30 ) %S=1.5759
p K*(892)-π+[r] ( 1.4 ± 0.5 ) %580
p (K-π+)nonresonant π0( 4.6 ± 0.8 ) %759
p K-+π-( 1.4 ± 0.9 ) × 10-3671
p K-π+0( 1.0 ± 0.5 ) %678
+---PAGE_BREAK--- + +Hadronic modes with a p: S = 0 final states + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
0< 2.7× 10-4CL=90%945
( 1.24 ± 0.30)× 10-3856
pω(782)0( 9 ± 4)× 10-4751
+π-( 4.61 ± 0.28)× 10-3927
p f0(980)[r] ( 3.5 ± 2.3)× 10-3614
p2π+-( 2.3 ± 1.4)× 10-3852
pK+K-( 1.06 ± 0.06)× 10-3616
[r] ( 1.06 ± 0.14)× 10-3590
pK+K- non-φ( 5.3 ± 1.2)× 10-4616
pφπ0(10 ± 4)× 10-5460
pK+K-π0 nonresonant< 6.3× 10-5CL=90%494
+ +Hadronic modes with a hyperon: S = -1 final states + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Ξ0 K+ Ξ*0 → Σ+ K-
(5.5 ± 0.7) × 10-3
S=1.1
CL=90% + Ξ*0 K+
(6.2 ± 0.6) × 10-3
S=1.1
CL=90% + Ξ0(530)0 K+
(4.3 ± 0.9) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(5.2 ± 0.8) × 10-3
S=1.1
CL=90% + Ξ0(530)0 K+
(6.3 ± 0.7) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(7.3 ± 0.6) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(8.4 ± 0.5) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(9.5 ± 0.4) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(9.8 ± 0.3) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(9.9 ± 0.2) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(9.9 ± 0.1) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(9.9 ± 0) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(9.9 ± 0) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(9.9 ± 0) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(9.9 ± 0) × 10-3
S=1.1
CL=90% + Ξ*0(530)0 K+
(9.9 ± 0) × 10-3
S=1.1
CL=90% + Ξsee(538)seeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
+ Λπ+ + + ( 1.30 ± 0.07) % + + S=1.1 + + 864 +
+ Λπ+ π° + + ( 7.1 ± 0.4 ) % +
+ Λρ+ + + < 6 . + + CL=95% + + 636 +
+ Λπ- 2π+ + + ( 3.64 ± 0.29) % +
+ Σ(1385)+ π+ π-, Σ*+ → Λπ+ + + ( 1.0 ± 0.5 ) % + + S=1.4 + + 807 +
+ Λπ+ +
+ Σ(1385)-2π+, Σ*- → Λπ- + + ( 7.6 ± 1.4 ) × 10⁻³ + + 688 +
+ Λπ+ ρ° +
+ Σ(1385)+ ρ°, Σ*+ → Λπ+ + + ( 1.5 ± 0.6 ) % + + 524 +
+ Λπ-2π+nonresonant +
+ Λπ- π°2π+ total + + ( 1.1 ) % + + CL=90% + + 807 +
+ Λπ+ η +
+ [r] ( 1.84 ± 0.26) % +
+ Σ(1385)+ η +
+ [r] ( 9.1 ± 2.0 ) × 10⁻³ +
+ Λπ+ ω +
+ [r] ( 1.5 ± 0.5 ) % +
+ Λπ- π°02π+, no η or ω +
+ < 8 × 10⁻³ + + CL=90% + + 757 +
+ ΛK+ K° +
+ (5.7 ± 1.1) × 10⁻³ +
+ Ξ(1690)° K+, Ξ*° → ΛK° +
+ (1.6 ± 0.5) × 10⁻³ +
+ (1.29± 0.07) % +
+ S=1.9 +
+ (1.29± 0.07) % +
+ S=1.1 +
+ (1.25± 0.10) % +
+ (4.4 ± 2.0) × 10⁻³ +
+ (4.4± 2.0) × 10⁻³ +
+ (1.5 ± 0.6) % +
+ (4.50± 0.25) % +
+ S=1.3 +
+ (4.50± 0.25) % +
+ CL=95% +
+ (1.7 ± %) +
+ CL=95% +
+ (1.70± 0.21) % +
+ (1.70± 0.21) % +
+ (2.1 ± 0.4 ) % +
+ (3.5 ± 0.4) × 10⁻³ +
+ S=1.1 +
+ (3.5 ± 0.4) × 10⁻³ +
+ S=1.1 +
+ (3.9 ± 0.6) × 10⁻³ +
+ (3.9 ± 0.6) × 10⁻³ +
+ (1.02± 0.25) × 10⁻³ +
Σ+ K+ K- nonresonantCL=90%349
+ +Hadronic modes with a hyperon: S = 0 final states + + + + + + +
ΛK+
+ + + + +
ΛK+π+π-
+ + + + +
Σ° K+
+ + +
(6.1 ± .1 .) × . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. 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+ +---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Σ0K+π+π-< 2.6 × 10-4CL=90%574
Σ+K+π-( 2.1 ± 0.6 ) × 10-3670
Σ+K*(892)0[r] ( 3.5 ± 1.0 ) × 10-3470
Σ-K+π+< 1.2 × 10-3CL=90%664
Doubly Cabibbo-suppressed modes
pK+π-( 1.11 ± 0.18 ) × 10-4823
Semileptonic modes
Λe+νe( 3.6 ± 0.4 ) %871
Λμ+νμ( 3.5 ± 0.5 ) %867
Inclusive modes
e+ anything( 3.95 ± 0.35 ) %-
p anything( 50 ± 16 ) %-
n anything( 50 ± 16 ) %-
Λ anything( 38.2 ± 2.9 ) %-
3prongs( 24 ± 8 ) %-
ΔC = 1 weak neutral current (C1) modes, or
Lepton Family number (LF), or Lepton number (L), or
Baryon number (B) violating modes
p e+e-C1 < 5.5 × 10-6CL=90%951
p μ+μ- non-resonantC1 < 7.7 × 10-8CL=90%937
p e+μ-LF < 9.9 × 10-6CL=90%947
p e-μ+LF < 1.9 × 10-5CL=90%947
p2e+L,B < 2.7 × 10-6CL=90%951
p+L,B < 9.4 × 10-6CL=90%937
pe+μ+L,B < 1.6 × 10-5CL=90%947
Σ-μ+μ+L < 7.0 × 10-4CL=90%812
+ +See Particle Listings for 1 decay modes that have been seen / not seen. + +$$ +\Lambda_c(2595)^+ +$$ + +$$ +I(J^P) = 0(\frac{1}{2}^-) +$$ + +The spin-parity follows from the fact that Σ_c(2455)π decays, with +little available phase space, are dominant. This assumes that J^P = +1/2^+ for the Σ_c(2455). + +Mass m = 2592.25 ± 0.28 MeV + +m - m_{\Lambda_c^+} = 305.79 \pm 0.24 \text{ MeV} + +Full width $\Gamma = 2.6 \pm 0.6$ MeV + +$\Lambda_c^\dagger \pi \pi$ and its submode $\Sigma_c(2455)\pi$ — the latter just barely — are the only strong decays allowed to an excited $\Lambda_c^\dagger$ having this mass; and the submode seems to dominate. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Λc(2595)+ DECAY MODESFraction (Γf/Γ)ρ (MeV/c)
Λc+ π+ π-[s] —117
Σc(2455)++ π-24 ± 7 %
Σc(2455)0 π+24 ± 7 %
Λc π+ π- 3-body18 ± 10 %117
See Particle Listings for 2 decay modes that have been seen / not seen.
+ + +---PAGE_BREAK--- + +$$ \Lambda_c(2625)^+ \qquad I(J^P) = 0(\frac{3}{2}^-) $$ + +$J^P$ has not been measured; $\frac{3}{2}^-$ is the quark-model prediction. + +Mass $m = 2628.11 \pm 0.19$ MeV (S = 1.1) + +$m - m_{\Lambda_c^+} = 341.65 \pm 0.13$ MeV (S = 1.1) + +Full width $\Gamma < 0.97$ MeV, CL = 90% + +$\Lambda_c^+ \pi\pi$ and its submode $\Sigma(2455)\pi$ are the only strong decays allowed to an excited $\Lambda_c^+$ having this mass. + +
Λc(2625)+ DECAY MODESFraction (Γi/Γ)Confidence levelp
(MeV/c)
Λc+π+π-≈ 67%184
Σc(2455)++π-<590%102
Σc(2455)0π+<590%102
Λc+π+π- 3-bodylarge184
+ +See Particle Listings for 2 decay modes that have been seen / not seen. + +$$ \Lambda_c(2860)^+ \qquad I(J^P) = 0(\frac{3}{2}^+) $$ + +Mass $m = 2856.1^{+2.3}_{-6.0}$ MeV + +Full width $\Gamma = 68^{+12}_{-22}$ MeV + +$$ \Lambda_c(2880)^+ \qquad I(J^P) = 0(\frac{5}{2}^+) $$ + +Mass $m = 2881.63 \pm 0.24$ MeV + +$m - m_{\Lambda_c^+} = 595.17 \pm 0.28$ MeV + +Full width $\Gamma = 5.6^{+0.8}_{-0.6}$ MeV + +$$ \Lambda_c(2940)^+ \qquad I(J^P) = 0(\frac{3}{2}^-) $$ + +$J^P = 3/2^-$ is favored, but is not certain. + +Mass $m = 2939.6^{+1.3}_{-1.5}$ MeV + +Full width $\Gamma = 20^{+6}_{-5}$ MeV + +$$ \Sigma_c(2455) \qquad I(J^P) = 1(\frac{1}{2}^+) $$ + +$\Sigma_c(2455)^{++}$ mass $m = 2453.97 \pm 0.14$ MeV + +$\Sigma_c(2455)^+$ mass $m = 2452.9 \pm 0.4$ MeV + +$\Sigma_c(2455)^0$ mass $m = 2453.75 \pm 0.14$ MeV + +$m_{\Sigma_c^{++}} - m_{\Lambda_c^+} = 167.510 \pm 0.017$ MeV + +$m_{\Sigma_c^{+}} - m_{\Lambda_c^+} = 166.4 \pm 0.4$ MeV + +$m_{\Sigma_c^0} - m_{\Lambda_c^+} = 167.290 \pm 0.017$ MeV + +$m_{\Sigma_c^{++}} - m_{\Sigma_c^0} = 0.220 \pm 0.013$ MeV + +$m_{\Sigma_c^{+}} - m_{\Sigma_c^0} = -0.9 \pm 0.4$ MeV +---PAGE_BREAK--- + +$$ \Sigma_c(2455)^{++} \text{full width } \Gamma = 1.89^{+0.09}_{-0.18} \text{ MeV (S = 1.1)} $$ + +$$ \Sigma_c(2455)^+ \text{ full width } \Gamma < 4.6 \text{ MeV, CL = 90\%} $$ + +$$ \Sigma_c(2455)^0 \text{ full width } \Gamma = 1.83^{+0.11}_{-0.19} \text{ MeV (S = 1.2)} $$ + +$\Lambda_c^+ \pi$ is the only strong decay allowed to a $\Sigma_c$ having this mass. + +
Σc(2455) DECAY MODESFraction (Γf/Γ)ρ (MeV/c)
Λ+c π≈ 100 %94
+ +$$ \Sigma_c(2520) \qquad I(J^P) = 1({3\over 2}^+) $$ + +$J^P$ has not been measured; $3/2^+$ is the quark-model prediction. + +$$ \Sigma_c(2520)^{++} \text{mass } m = 2518.41^{+0.21}_{-0.19} \text{ MeV (S = 1.1)} $$ + +$$ \Sigma_c(2520)^+ \text{ mass } m = 2517.5 \pm 2.3 \text{ MeV} $$ + +$$ \Sigma_c(2520)^0 \text{ mass } m = 2518.48 \pm 0.20 \text{ MeV (S = 1.1)} $$ + +$$ m\Sigma_c(2520)^++ - m\Lambda_c^+ = 231.95^{+0.17}_{-0.12} \text{ MeV (S = 1.3)} $$ + +$$ m\Sigma_c(2520)^+ - m\Lambda_c^+ = 231.0 \pm 2.3 \text{ MeV} $$ + +$$ m\Sigma_c(2520)^0 - m\Lambda_c^+ = 232.02^{+0.15}_{-0.14} \text{ MeV (S = 1.3)} $$ + +$$ m\Sigma_c(2520)^{++} - m\Sigma_c(2520)^0 = 0.01 \pm 0.15 \text{ MeV} $$ + +$$ \Sigma_c(2520)^{++} \text{ full width } \Gamma = 14.78^{+0.30}_{-0.40} \text{ MeV} $$ + +$$ \Sigma_c(2520)^+ \text{ full width } \Gamma < 17 \text{ MeV, CL = 90\%} $$ + +$$ \Sigma_c(2520)^0 \text{ full width } \Gamma = 15.3^{+0.4}_{-0.5} \text{ MeV} $$ + +$\Lambda_c^+$ is the only strong decay allowed to a $\Sigma_c$ having this mass. + +
Σc(2520) DECAY MODESFraction (Γf/Γ)ρ (MeV/c)
Λ+c π≈ 100 %179
+ +$$ \Sigma_c(2800) \qquad I(J^P) = 1(??) $$ + +$$ \Sigma_c(2800)^{++} \text{ mass } m = 2801^{+4}_{-6} \text{ MeV} $$ + +$$ \Sigma_c(2800)^+ \text{ mass } m = 2792^{+14}_{-5} \text{ MeV} $$ + +$$ \Sigma_c(2800)^0 \text{ mass } m = 2806^{+5}_{-7} \text{ MeV (S = 1.3)} $$ + +$$ m\Sigma_c(2800)^++ - m\Lambda_c^+ = 514^{+4}_{-6} \text{ MeV} $$ + +$$ m\Sigma_c(2800)^+ - m\Lambda_c^+ = 505^{+14}_{-5} \text{ MeV} $$ + +$$ m\Sigma_c(2800)^0 - m\Lambda_c^+ = 519^{+5}_{-7} \text{ MeV (S = 1.3)} $$ + +$$ \Sigma_c(2800)^{++} \text{ full width } \Gamma = 75^{+22}_{-17} \text{ MeV} $$ + +$$ \Sigma_c(2800)^+ \text{ full width } \Gamma = 62^{+60}_{-40} \text{ MeV} $$ + +$$ \Sigma_c(2800)^0 \text{ full width } \Gamma = 72^{+22}_{-15} \text{ MeV} $$ +---PAGE_BREAK--- + +$$ \Xi_c^+ \qquad I(J^P) = \frac{1}{2}(\frac{1}{2}^+) $$ + +$J^P$ has not been measured; $\frac{1}{2}^+$ is the quark-model prediction. + +$$ +\begin{align*} +\text{Mass } m &= 2467.94^{+0.17}_{-0.20} \text{ MeV} \\ +\text{Mean life } \tau &= (456 \pm 5) \times 10^{-15} \text{ s} \\ +c\tau &= 136.6 \text{ µm} +\end{align*} +$$ + +Branching fractions marked with a footnote, e.g. [a], have been corrected for decay modes not observed in the experiments. For example, the submode fraction $\Xi_c^+ \to \Sigma^+ \bar{K}^*(892)^0$ seen in $\Xi_c^+ \to \Sigma^+ K^- \pi^+$ has been multiplied up to include $\bar{K}^*(892)^0 \to \bar{K}^0 \pi^0$ decays. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Ξ+c DECAY MODESFraction (Γf/Γ)Confidence levelp
(MeV/c)
No absolute branching fractions have been measured.
The following are branching ratios relative to Ξ-+.
Cabibbo-favored (S = -2) decays — relative to Ξ-+
p2K0S0.087 ±0.021767
Λ&Kgr;0π+852
Σ(1385)+ &Kgr;0[r] 1.0 ±0.5746
ΛK-+0.323 ±0.033787
Λ&Kgr;*(892)0 π+[r] < 0.1690%608
Σ(1385)+ K-π+[r] < 0.2390%678
Σ+ K-π+0.94 ±0.10811
Σ+ K*(892)0[r] 0.81 ±0.15658
Σ0 K-+0.27 ±0.12735
Ξ0π+0.55 ±0.16877
Ξ-+DEFINED AS 1
Ξ(1530)0 π+[r] < 0.1090%750
Ξ0π+π02.3 ±0.7856
Ξ0π-+1.7 ±0.5818
Ξ0e+νe2.3+0.7-0.8884
Ω-K+π+0.07 ±0.04399
Cabibbo-suppressed decays — relative to Ξ-+
pK-π+0.0045 ±0.0022944
p&Kgr;*(892)0[r] 0.0024 ±0.0013828
Σ+π+π-0.48 ±0.20922
Σ-+0.18 ±0.09918
Σ+K+K-0.15 ±0.06580
Σ+φ[r] < 0.1190%549
Ξ(1690)0K+, Ξ0 → Σ+K-< 0.0590%501
pφ(1020)(9 ±4 ) × 10-5751
+ +See Particle Listings for 2 decay modes that have been seen / not seen. +---PAGE_BREAK--- + +$$ \Xi_c^0 \qquad I(J^P) = \frac{1}{2}(\frac{1}{2}+) $$ + +$J^P$ has not been measured; $\frac{1}{2}^+$ is the quark-model prediction. + +$$ +\begin{align*} +\text{Mass } m &= 2470.90^{+0.22}_{-0.29} \text{ MeV} \\ +m_{\Xi_c^0} - m_{\Xi_c^+} &= 2.96 \pm 0.22 \text{ MeV} +\end{align*} +$$ + +$$ +\begin{gathered} +\text{Mean life } \tau = (153 \pm 6) \times 10^{-15} \text{ s (S = 2.4)} \\ +c\tau = 45.8 \, \mu\text{m} +\end{gathered} +$$ + +**Decay asymmetry parameters** + +$\Xi^{-}\pi^{+}$ & $\alpha = -0.6 \pm 0.4$ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Ξc0 DECAY MODESFraction (Γf/Γ)Scale factorp
(MeV/c)
Cabibbo-favored (S = -2) decays
pK-K-π+(4.8 ±1.2 ) × 10-31.1676
pK-K-* (892)0, K*0 → K-π+(2.0 ±0.6 ) × 10-3
pK-K-π+ (no K*0)(3.0 ±0.9 ) × 10-3
ΛKS0(3.0 ±0.8 ) × 10-3676
ΛK-π+(1.45±0.33) %1.1856
Ξ-π+(1.43±0.32) %
Ξ-π+π+π-(4.8 ±2.3 ) %
Ω-K+(4.2 ±1.0 ) × 10-3522
Ξ-e+νe(1.8 ±1.2 ) %882
Cabibbo-suppressed decays
Ξ-K+(3.9 ±1.2 ) × 10-4790
ΛK+K- (no φ)(4.1 ±1.4 ) × 10-4648
Λφ(4.9 ±1.5 ) × 10-4621
+ +See Particle Listings for 2 decay modes that have been seen / not seen. + +$$ \Xi_c^{\prime +} \qquad I(J^P) = \frac{1}{2}(\frac{1}{2}+) $$ + +$J^P$ has not been measured; $\frac{1}{2}^+$ is the quark-model prediction. + +$$ +\begin{align*} +\text{Mass } m &= 2578.4 \pm 0.5 \text{ MeV} \\ +m_{\Xi_c^{\prime +}} - m_{\Xi_c^+} &= 110.5 \pm 0.4 \text{ MeV} \\ +m_{\Xi_c^{\prime +}} - m_{\Xi_c^{0'}} &= -0.8 \pm 0.6 \text{ MeV} +\end{align*} +$$ + +$$ \Xi_c^{\prime 0} \qquad I(J^P) = \frac{1}{2}(\frac{1}{2}+) $$ + +$J^P$ has not been measured; $\frac{1}{2}^+$ is the quark-model prediction. + +$$ +\begin{align*} +\text{Mass } m &= 2579.2 \pm 0.5 \text{ MeV} \\ +m_{\Xi_c^{0'}} - m_{\Xi_c^0} &= 108.3 \pm 0.4 \text{ MeV} +\end{align*} +$$ +---PAGE_BREAK--- + +$$ \Xi_c(2645) \qquad I(J^P) = \frac{1}{2}(\frac{3}{2}^+) $$ + +$J^P$ has not been measured; $\frac{3}{2}^+$ is the quark-model prediction. + +$$ \Xi_c(2645)^+ \text{ mass } m = 2645.56^{+0.24}_{-0.30} \text{ MeV} $$ + +$$ \Xi_c(2645)^0 \text{ mass } m = 2646.38^{+0.20}_{-0.23} \text{ MeV (S = 1.1)} $$ + +$$ m_{\Xi_c(2645)+} - m_{\Xi_c^0} = 174.66 \pm 0.09 \text{ MeV} $$ + +$$ m_{\Xi_c(2645)^0} - m_{\Xi_c^+} = 178.44 \pm 0.10 \text{ MeV} $$ + +$$ m_{\Xi_c(2645)^+} - m_{\Xi_c(2645)^0} = -0.82 \pm 0.26 \text{ MeV} $$ + +$$ \Xi_c(2645)^+ \text{ full width } \Gamma = 2.14 \pm 0.19 \text{ MeV (S = 1.1)} $$ + +$$ \Xi_c(2645)^0 \text{ full width } \Gamma = 2.35 \pm 0.22 \text{ MeV} $$ + +$$ \Xi_c(2790) \qquad I(J^P) = \frac{1}{2}(\frac{1}{2}^-) $$ + +$J^P$ has not been measured; $\frac{1}{2}^-$ is the quark-model prediction. + +$$ \Xi_c(2790)^+ \text{ mass } m = 2792.4 \pm 0.5 \text{ MeV} $$ + +$$ \Xi_c(2790)^0 \text{ mass } m = 2794.1 \pm 0.5 \text{ MeV} $$ + +$$ m_{\Xi_c(2790)^+} - m_{\Xi_c^0} = 213.20 \pm 0.22 \text{ MeV} $$ + +$$ m_{\Xi_c(2790)^0} - m_{\Xi_c^+} = 215.70 \pm 0.22 \text{ MeV} $$ + +$$ m_{\Xi_c(2790)^+} - m_{\Xi_c(2790)^0} = -1.7 \pm 0.7 \text{ MeV} $$ + +$$ \Xi_c(2790)^+ \text{ width } = 8.9 \pm 1.0 \text{ MeV} $$ + +$$ \Xi_c(2790)^0 \text{ width } = 10.0 \pm 1.1 \text{ MeV} $$ + +$$ \Xi_c(2815) \qquad I(J^P) = \frac{1}{2}(\frac{3}{2}^-) $$ + +$J^P$ has not been measured; $\frac{3}{2}^-$ is the quark-model prediction. + +$$ \Xi_c(2815)^+ \text{ mass } m = 2816.74^{+0.20}_{-0.23} \text{ MeV} $$ + +$$ \Xi_c(2815)^0 \text{ mass } m = 2820.25^{+0.25}_{-0.31} \text{ MeV} $$ + +$$ m_{\Xi_c(2815)^+} - m_{\Xi_c^+} = 348.80 \pm 0.10 \text{ MeV} $$ + +$$ m_{\Xi_c(2815)^0} - m_{\Xi_c^0} = 349.35 \pm 0.11 \text{ MeV} $$ + +$$ m_{\Xi_c(2815)^+} - m_{\Xi_c(2815)^0} = -3.51 \pm 0.26 \text{ MeV} $$ + +$$ \Xi_c(2815)^+ \text{ full width } \Gamma = 2.43 \pm 0.26 \text{ MeV} $$ + +$$ \Xi_c(2815)^0 \text{ full width } \Gamma = 2.54 \pm 0.25 \text{ MeV} $$ + +$$ \Xi_c(2970) \qquad I(J^P) = \frac{1}{2}(??) $$ + +was $\Xi_c(2980)$ + +$$ \Xi_c(2970)^+ m = 2966.34^{+0.17}_{-1.00} \text{ MeV} $$ + +$$ \Xi_c(2970)^0 m = 2970.9^{+0.4}_{-0.6} \text{ MeV} $$ + +$$ \quad m_{\Xi_c(2970)^+} - m_{\Xi_c^+} = 498.40^{+0.27}_{-0.90} \text{ MeV} $$ + +$$ m_{\Xi_c(2970)^0} - m_{\Xi_c^0} = 500.0^{+0.4}_{-0.6} \text{ MeV} $$ + +$$ m_{\Xi_c(2970)^+} - m_{\Xi_c(2970)^0} = -4.6^{+0.4}_{-0.6} \text{ MeV} $$ + +$$ \Xi_c(2970)^+ \text{ width } \Gamma = 20.9^{+2.4}_{-3.5} \text{ MeV (S = 1.2)} $$ + +$$ \Xi_c(2970)^0 \text{ width } \Gamma = 28.1^{+3.4}_{-4.0} \text{ MeV (S = 1.5)} $$ +---PAGE_BREAK--- + +$$ \Xi_c(3055) \qquad I(J^P) = ?(?) $$ + +Mass $m = 3055.9 \pm 0.4$ MeV +Full width $\Gamma = 7.8 \pm 1.9$ MeV + +$$ \Xi_c(3080) \qquad I(J^P) = \frac{1}{2}(?) $$ + +$$ \begin{aligned} \Xi_c(3080)^+ & m = 3077.2 \pm 0.4 \text{ MeV} \\ \Xi_c(3080)^0 & m = 3079.9 \pm 1.4 \text{ MeV} \quad (S = 1.3) \\ \Xi_c(3080)^+ & \text{width } \Gamma = 3.6 \pm 1.1 \text{ MeV} \quad (S = 1.5) \\ \Xi_c(3080)^0 & \text{width } \Gamma = 5.6 \pm 2.2 \text{ MeV} \end{aligned} $$ + +$$ \Omega_c^0 \qquad I(J^P) = 0(\frac{1}{2}^+) $$ + +$J^P$ has not been measured; $\frac{1}{2}^+$ is the quark-model prediction. + +Mass $m = 2695.2 \pm 1.7$ MeV ($S = 1.3$) + +Mean life $\tau = (268 \pm 26) \times 10^{-15}$ s + +$c\tau = 80~\mu\text{m}$ + +
Ω0cDECAY MODESFraction (Γj/Γ)Confidence levelp
(MeV/c)
No absolute branching fractions have been measured.
The following are branching ratios relative to Ω-π+.
Cabibbo-favored (S = -3) decays — relative to Ω-π+
Ω-π+DEFINED AS 1821
Ω-π+π01.80±0.33797
Ω-ρ+>1.390%532
Ω-π-+0.31±0.05753
Ω-e+νe2.4 ± 1.2829
Ξ0K01.64±0.29950
Ξ0K-π+1.20±0.18901
Ξ0K*0, K*0 → K-π+0.68±0.16764
Ξ-K0π+2.12±0.28895
Ξ-K-+0.63±0.09830
Ξ(1530)0K-π+, Ξ*0 → Ξ-π+0.21±0.06757
Ξ-K*0π+0.34±0.11653
Σ+K-K-π+<0.3290%689
ΛK0K01.72±0.35837
+ +$$ \Omega_c(2770)^0 \qquad I(J^P) = 0(\frac{3}{2}^+) $$ + +$J^P$ has not been measured; $\frac{3}{2}^+$ is the quark-model prediction. + +Mass $m = 2765.9 \pm 2.0$ MeV ($S = 1.2$) + +$m_{\Omega_c(2770)^0} - m_{\Omega_c^0} = 70.7^{+0.8}_{-0.9}$ MeV + +The $\Omega_c(2770)^0-\Omega_c^0$ mass difference is too small for any strong decay to occur. + +
Ωc(2770)0DECAY MODESFraction (Γj/Γ)p (MeV/c)
Ωc0γpresumably 100%70
+---PAGE_BREAK--- + +$$ \Omega_c(3000)^0 \qquad I(J^P) = ?(?) $$ + +Mass $m = 3000.41 \pm 0.22$ MeV +Full width $\Gamma = 4.5 \pm 0.7$ MeV + +$$ \Omega_c(3050)^0 \qquad I(J^P) = ?(?) $$ + +Mass $m = 3050.20 \pm 0.13$ MeV +Full width $\Gamma < 1.2$ MeV, $CL = 95\%$ + +$$ \Omega_c(3065)^0 \qquad I(J^P) = ?(?) $$ + +Mass $m = 3065.46 \pm 0.28$ MeV +Full width $\Gamma = 3.5 \pm 0.4$ MeV + +$$ \Omega_c(3090)^0 \qquad I(J^P) = ?(?) $$ + +Mass $m = 3090.0 \pm 0.5$ MeV +Full width $\Gamma = 8.7 \pm 1.3$ MeV + +$$ \Omega_c(3120)^0 \qquad I(J^P) = ?(?) $$ + +Mass $m = 3119.1 \pm 1.0$ MeV +Full width $\Gamma < 2.6$ MeV, $CL = 95\%$ + +## DOUBLY CHARMED BARYONS +($C = +2$) + +$$ \Xi_{cc}^{++} = ucc, \Xi_{cc}^{+} = dcc, \Omega_{cc}^{+} = scc $$ + +$$ \Xi_{c\bar{c}}^{++} \qquad I(J^P) = ?(?) $$ + +Mass $m = 3621.2 \pm 0.7$ MeV +Mean life $\tau = (256 \pm 27) \times 10^{-15}$ s + +## BOTTOM BARYONS +($B = -1$) + +$$ \Lambda_b^0 = udb, \Xi_b^0 = usb, \Xi_b^- = dsb, \Omega_b^- = ssb $$ + +$$ \Lambda_b^0 \qquad I(J^P) = 0(\frac{1}{2}^+) $$ + +$I(J^P)$ not yet measured; $0(\frac{1}{2}^+)$ is the quark model prediction. + +Mass $m = 5619.60 \pm 0.17$ MeV + +$m\Lambda_b^0 - m_{B^0} = 339.2 \pm 1.4$ MeV + +$m\Lambda_b^0 - m_{B^+} = 339.72 \pm 0.28$ MeV + +Mean life $\tau = (1.471 \pm 0.009) \times 10^{-12}$ s + +$c\tau = 441.0~\mu m$ +---PAGE_BREAK--- + +$$A_{CP}(\Lambda_b \to p\pi^-) = -0.025 \pm 0.029 \quad (S = 1.2)$$ + +$$A_{CP}(\Lambda_b \to pK^-) = -0.025 \pm 0.022$$ + +$$\Delta A_{CP}(pK^-/\pi^-) = 0.014 \pm 0.024$$ + +$$A_{CP}(\Lambda_b \to p\bar{K}^0\pi^-) = 0.22 \pm 0.13$$ + +$$\Delta A_{CP}(J/\psi p\pi^-/K^-) = (5.7 \pm 2.7) \times 10^{-2}$$ + +$$A_{CP}(\Lambda_b \to \Lambda K^+\pi^-) = -0.53 \pm 0.25$$ + +$$A_{CP}(\Lambda_b \to \Lambda K^+ K^-) = -0.28 \pm 0.12$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to pK^-\mu^+\mu^-) = (-4 \pm 5) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to p\pi^-\pi^+\pi^-) = (1.1 \pm 2.6) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to (p\pi^-\pi^+\pi^-)_{LBM}) = (4 \pm 4) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to p\sigma_1(1260)^-) = (-1 \pm 4) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to N(1520)^0\rho(770)^0) = (2 \pm 5) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to \Delta(1232)^{++}\pi^-\pi^-) = (0.1 \pm 3.3) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to pK^-\pi^+\pi^-) = (3.2 \pm 1.3) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to (pK^-\pi^+\pi^-)_{LBM}) = (3.5 \pm 1.6) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to N(1520)^0 K^*(892)^0) = (5.5 \pm 2.5) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to \Lambda(1520)\rho(770)^0) = (1 \pm 6) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to \Delta(1232)^{++}K^-\pi^-) = (4.4 \pm 2.7) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to pK_1(1410)^-) = (5 \pm 4) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to pK^-\bar{K}^+\pi^-) = (-7 \pm 5) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to pK^-\bar{K}^+K^-) = (0.2 \pm 1.9) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to \Lambda(1520)\phi(1020)) = (4 \pm 6) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to (\rho K^-)_{highmass} \phi(1020)) = (-0.7 \pm 3.4) \times 10^{-2}$$ + +$$\Delta A_{CP}(\Lambda_b^0 \to (\rho K^- K^+ K^-)_{LBM}) = (2.7 \pm 2.4) \times 10^{-2}$$ + +$A_{FB}^\ell(\mu\mu)$ in $\Lambda_b \to \Lambda\mu^+\mu^- = -0.39 \pm 0.04$ + +$\Delta(A_{FB}^\ell(\mu\mu))$ in $\Lambda_b \to \Lambda\mu^+\mu^- = -0.05 \pm 0.09$ + +$A_{FB}^\hbar(p\pi)$ in $\Lambda_b \to \Lambda(p\pi)\mu^+\mu^- = -0.30 \pm 0.05$ + +$A_{FB}^{\ell h}$ in $\Lambda_b \to \Lambda\mu^+\mu^- = 0.25 \pm 0.04$ + +The branching fractions $B(b\text{-baryon} \rightarrow \Lambda\ell^- \nu_\ell)$ anything and $B(\Lambda_b^0 \rightarrow \Lambda_c^\ell \ell^- \bar{\nu}_\ell)$ anything are not pure measurements because the underlying measured products of these with $B(b \rightarrow b\text{-baryon})$ were used to determine $B(b \rightarrow b\text{-baryon})$, as described in the note "Production and Decay of b-Flavored Hadrons." + +For inclusive branching fractions, e.g., $\Lambda_b \rightarrow \bar{\Lambda}_c$ anything, the values usually are multiplicities, not branching fractions. They can be greater than one. + +
Λ0b DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
ρ
(MeV/c)
J/ψ(1S)Λ×B(b → Λ0b)(5.8 ±0.8)×10-51740
pD0π-(6.3 ±0.7)×10-42370
pD0K-(4.6 ±0.8)×10-52269
pJ/ψπ-(2.6 +0.5-0.4)×10-51755
- J/ψ, J/ψ → μ+μ-(1.6 ±0.8)×10-6-
pJ/ψK-(3.2 +0.6-0.5)×10-41589
Pc(4380)+K-, Pc → pJ/ψ [t](2.7 ±1.4)×10-5-
Pc(4450)+K-, Pc → pJ/ψ [t](1.3 ±0.4)×10-5-
χc1(1P)pK-(7.6 +1.5-1.3)×10-51242
χc2(1P)pK-(7.9 +1.6-1.4)×10-51198
pJ/ψ(1S)π+π-K-(6.6 +1.3-1.1)×10-51410
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ---+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-%-+ +
pψ(2S)K-( 6.6 +1.2-1.0 ) × 10-51063
χc1(3872)pK-, χc1(3872) → J/ψπ+π-( 1.23±0.33 ) × 10-6-
ψ(2S)pπ-( 7.5 +1.6-1.4 ) × 10-61320
pR0π-( 1.3 ±0.4 ) × 10-52693
pK0K-< 3.5 × 10-6CL=90%2639
Λc+π-( 4.9 ±0.4 ) × 10-3S=1.22342
Λc+K-( 3.59±0.30 ) × 10-4S=1.22314
Λc+D-( 4.6 ±0.6 ) × 10-41886
Λc+Ds-( 1.10±0.10 ) %1833
Λc+π+π-π-( 7.7 ±1.1 ) × 10-3S=1.12323
Λc(2595)+π-, Λc(2595)+ → Λc+π+π-( 3.4 ±1.5 ) × 10-42210
Λc(2625)+π-, Λc(2625)+ → Λc+π+π-( 3.3 ±1.3 ) × 10-42193
Σc(2455)0π+π-, Σc0 → Λc+π-( 5.7 ±2.2 ) × 10-42265
Σc(2455)++π-π-, Σc++ → Λc+π+( 3.2 ±1.6 ) × 10-42265
Λc+p&pbar;π-( 2.65±0.29 ) × 10-41805
Σc(2455)0p&pbar;, Σc(2455)0 → Λc+π-( 2.4 ±0.5 ) × 10-5-
Σc(2520)0p&pbar;, Σc(2520)0 → Λc+π-( 3.2 ±0.7 ) × 10-5-
Λc+-ν̅ anything
                                                                                                                                                                              (u) ( 10.9 ±2.2 ) %
-
Λc+-ν̅( 6.2 +1.4-1.3 ) %2345
Λc+π+π--ν̅( 5.6 ±3.1 ) %2335
Λc(2595)+-ν̅( 7.9 +4.0-3.5 ) × 10-32212
Λc(2625)+-ν̅( 1.3 +0.6-0.5 ) %2195
pℏ
&pmb;pπ
&pmb;pK
&pmb;pDs
&pmb;pμ
&pmb;pν̅ +
[v] < 2.3 × 10-5CL=90%
ρ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(ψ(µµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµµμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμμ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ μ Λc c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_c_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_yy + + + + + + + + + + + + + + +
ρ(pKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK +
+ Σ + + b + + DECAY MODES + + Fraction (Γ + + f + + /Γ) + + p (MeV/c) +
+ Λ + + 0 + + + b + + π + + dominant + + 133 +
+ +$\Sigma_b^*$ + +$I(J^P) = 1({3\over 2}^+)$ +$I, J, P$ need confirmation. + +Mass $m(\Sigma_b^{*+}) = 5830.32 \pm 0.27$ MeV +Mass $m(\Sigma_b^{*-}) = 5834.74 \pm 0.30$ MeV +$m_{\Sigma_b^{++}} - m_{\Sigma_b^{--}} = -4.37 \pm 0.33$ MeV (S = 1.6) +$m_{\Sigma_b^{++}} - m_{\Sigma_b^{+}} = 19.73 \pm 0.18$ +$m_{\Sigma_b^{+-}} - m_{\Sigma_b^{-}} = 19.09 \pm 0.22$ +$\Gamma(\Sigma_b^{*+}) = 9.4 \pm 0.5$ MeV +$\Gamma(\Sigma_b^{*-}) = 10.4 \pm 0.8$ MeV (S = 1.3) +$m_{\Sigma_b^{+}} - m_{\Sigma_b^{-}} = 21.2 \pm 2.0$ MeV +---PAGE_BREAK--- + +
Σ*b DECAY MODESFraction (Γf/Γ)p (MeV/c)
Λ0bπdominant159
+ +### Σb(6097)+ + +$$J^P = ??$$ + +Mass m = 6095.8 ± 1.7 MeV +Full width Γ = 31 ± 6 MeV + +### Σb(6097)- + +$$J^P = ??$$ + +Mass m = 6098.0 ± 1.8 MeV +Full width Γ = 29 ± 4 MeV + +### Ξ0b, Ξ-b + +$I(J^P) = \frac{1}{2}(1/2^+)$ +I, J, P need confirmation. + +$m(\Xi_b^-) = 5797.0 \pm 0.6$ MeV (S = 1.7) + +$m(\Xi_b^0) = 5791.9 \pm 0.5$ MeV + +$m_{\Xi_b^-} - m_{\Lambda_b^0} = 177.5 \pm 0.5$ MeV (S = 1.6) + +$m_{\Xi_b^0} - m_{\Lambda_b^0} = 172.5 \pm 0.4$ MeV + +$m_{\Xi_b^-} - m_{\Xi_b^0} = 5.9 \pm 0.6$ MeV + +Mean life $\tau_{\Xi_b^-} = (1.572 \pm 0.040) \times 10^{-12}$ s + +Mean life $\tau_{\Xi_b^0} = (1.480 \pm 0.030) \times 10^{-12}$ s + +
Ξb DECAY MODESFraction (Γf/Γ)Scale factor/
Confidence level
p
(MeV/c)
Ξ--νX × B(b → Ξb)(3.9 ± 1.2 ) × 10-4S=1.4-
J/ψΞ- × B(b → Ξb-)(1.02+0.26-0.21) × 10-51782
J/ψΛK- × B(b → Ξb-)(2.5 ± 0.4 ) × 10-61631
pD0K- × B(b → Ξb)(1.7 ± 0.6 ) × 10-62374
pK0π- × B(b → Ξb)/B(b → B0)< 1.6x 10-6CL=90%2783
pK0K- × B(b → Ξb)/B(b → B0)< 1.1x 10-6CL=90%2730
pK-K- × B(b → Ξb)(3.7 ± 0.8 ) × 10-82731
Λπ+π- × B(b → Ξb0)/B(b → Λb0)< 1.7x 10-6CL=90%2781
ΛK-π+ × B(b → Ξb0)/B(b → Λb0)< 8x 10-7CL=90%2751
ΛK+K- × B(b → Ξb0)/B(b → Λb0)< 3x 10-7CL=90%2698
Λc+K- × B(b → Ξb)(6 ± 4 ) × 10-72416
Λb0π- × B(b → Ξb) / B(b → Λb0)(5.7 ± 2.0 ) × 10-499
pK-π+π- × B(b → Ξb0) / B(b → Λb0)(1.9 ± 0.4 ) × 10-62766
pK-K-K+ × B(b → Ξb0) / B(b → Λb0)(1.73±0.32) × 10-62704
pK-K+K- × B(b → Ξb) / B(b → Λb0)(1.8 ± 1.0 ) × 10-72620
+ + +---PAGE_BREAK--- + +$$ \Xi_b'(5935)^- \qquad J^P = \frac{1}{2}+ $$ + +Mass $m = 5935.02 \pm 0.05$ MeV + +$m_{\Xi_b'(5935)^-} - m_{\Xi_b^0} - m_{\pi^-} = 3.653 \pm 0.019$ MeV + +Full width $\Gamma < 0.08$ MeV, CL = 95% + +
Ξ'b(5935)- DECAY MODESFraction (Γl/Γ)p (MeV/c)
Ξ0bπ- × B(̄b) → Ξ'b(5935)-/B(̄b → Ξ0b)(11.8 ± 1.8) %31
+ +$$ \Xi_b(5945)^0 \qquad J^P = \frac{3}{2}+ $$ + +Mass $m = 5952.3 \pm 0.6$ MeV + +Full width $\Gamma = 0.90 \pm 0.18$ MeV + +$$ \Xi_b(5955)^- \qquad J^P = \frac{3}{2}+ $$ + +Mass $m = 5955.33 \pm 0.13$ MeV + +$m_{\Xi_b(5955)^-} - m_{\Xi_b^0} - m_{\pi^-} = 23.96 \pm 0.13$ MeV + +Full width $\Gamma = 1.65 \pm 0.33$ MeV + +
Ξb(5955)- DECAY MODESFraction (Γl/Γ)p (MeV/c)
Ξ0bπ- × B(̄b) → Ξ'b(5955)-/B(̄b → Ξ0b)(20.7 ± 3.5) %84
+ +$$ \Xi_b(6227) \qquad J^P = ?? $$ + +Mass $m = 6226.9 \pm 2.0$ MeV + +Full width $\Gamma = 18 \pm 6$ MeV + +
Ξb(6227) DECAY MODESFraction (Γl/Γ)Scale factorp
(MeV/c)
Λ0bK- × B(b → Ξb(6227))/B(b → Λ0b)(3.20 ± 0.35) × 10-3336
Ξ0bπ- × B(b → Ξb(6227))/B(b → Ξ0b)(2.8 ± 1.1) %1.8398
+ +$$ \Omega_b^- \qquad I(J^P) = 0(\frac{1}{2}+) $$ + +$I, J, P$ need confirmation. + +Mass $m = 6046.1 \pm 1.7$ MeV + +$m_{\Omega_b^-} - m_{\Lambda_b^0} = 426.4 \pm 2.2$ MeV + +$m_{\Omega_b^-} - m_{\Xi_b^-} = 247.3 \pm 3.2$ MeV + +Mean life $\tau = (1.64^{+0.18}_{-0.17}) \times 10^{-12}$ s + +$\tau(\bar{\Omega}_b)/\tau(\bar{\Xi}_b)$ mean life ratio = $1.11 \pm 0.16$ + +
Ωb- DECAY MODESFraction (Γl/Γ)Confidence levelp
(MeV/c)
J/ψΩ- × B(b → Ωb)(2.9+1.1-0.8) × 10-61806
pK-K- × B(̄b → Ωb)< 2.5 × 10-990%2866
+---PAGE_BREAK--- + +
-π-×B(b̅ → Ωb)< 1.5× 10-890%2943
pK-π-×B(b̅ → Ωb)< 7× 10-990%2915
+ +b-baryon ADMIXTURE ($\Lambda_b, \Xi_b, \Omega_b$) + +These branching fractions are actually an average over weakly decaying b- +baryons weighted by their production rates at the LHC, LEP, and Tevatron, +branching ratios, and detection efficiencies. They scale with the b-baryon pro- +duction fraction $B(b \to b\text{-baryon})$. + +The branching fractions $B(\text{b-baryon} \rightarrow \Lambda\ell^{-}\bar{\nu}_{\ell}\text{anything})$ and $B(\Lambda_{b}^{0} \rightarrow \Lambda_{c}^{+}\ell^{-}\bar{\nu}_{\ell}\text{anything})$ are not pure measurements because the underlying measured products of these with $B(\text{b} \rightarrow \text{b-baryon})$ were used to determine $B(\text{b} \rightarrow \text{b-baryon})$, as described in the note "Production and Decay of b-Flavored Hadrons." + +For inclusive branching fractions, e.g., $B \rightarrow D^{\pm}\text{anything}$, the values usually +are multiplicities, not branching fractions. They can be greater than one. + +**b-baryon ADMIXTURE DECAY MODES** +($\Lambda_b, \Xi_b, \Omega_b$) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ (Λ + + b + + , Ξ + + b + + , Ω + + b + + ) + + Fraction (Γ + + f + + /Γ) + + p (MeV/c) +
+ pμ + + − + + νanything + + ( 5.8 + + ± + + + 2.0 + + ) % + + – +
+ pℓν + + ℓ + + anything + + ( 5.6 ± 1.2 ) % + + – +
+ panything + + (70 ±22 ) % + + – +
+ Λℓ + + − + + ν + + ℓ + + anything + + ( 3.8 ± 0.6 ) % + + – +
+ Λℓ + + + + + ν + + ℓ + + anything + + ( 3.2 ± 0.8 ) % + + – +
+ Λanything + + (39 ± 7 ) % + + – +
+ Ξ + + − + + ℓ + + − + + ν + + ℓ + + anything + + ( 6.6 ± 1.6) × 10 + + -3 + + + – +
+ +NOTES + +This Summary Table only includes established baryons. The Particle Listings include evidence for other baryons. The masses, widths, and branching fractions for the resonances in this Table are Breit-Wigner parameters, but pole positions are also given for most of the *N* and Δ resonances. + +For most of the resonances, the parameters come from various partial-wave analyses of more or less the same sets of data, and it is not appropriate to treat the results of the analyses as independent or to average them together. + +When a quantity has "$(S = ...)$" to its right, the error on the quantity has been enlarged by the "scale factor" S, defined as $S = \sqrt{\chi^2/(N-1)}$, where N is the number of measurements used in calculating the quantity. + +A decay momentum *p* is given for each decay mode. For a 2-body decay, *p* is the momentum of each decay product in the rest frame of the decaying particle. For a 3-or-more-body decay, *p* is the largest momentum any of the products can have in this frame. For any resonance, the *nominal mass* is used in calculating *p*. + +[a] The masses of the *p* and *n* are most precisely known in u (unified atomic mass units). The conversion factor to MeV, 1 u = 931.494061(21) MeV, is less well known than are the masses in u. + +[b] The |m_p - m_p'|/m_p and |q_p + q_p'|/e are not independent, and both use the more precise measurement of |q_p/m_p'|(q_p/m_p). + +[c] The limit is from neutrality-of-matter experiments; it assumes $q_n = q_p + q_e$. See also the charge of the neutron. + +[d] The μp and ep values for the charge radius are much too different to average them. The disagreement is not yet understood. +---PAGE_BREAK--- + +[e] There is a lot of disagreement about the value of the proton magnetic charge radius. See the Listings. + +[f] The first limit is for $p \to$ anything or "disappearance" modes of a bound proton. The second entry, a rough range of limits, assumes the dominant decay modes are among those investigated. For antiprotons the best limit, inferred from the observation of cosmic ray $\bar{p}$'s is $\tau_{\bar{p}} > 10^7$ yr, the cosmic-ray storage time, but this limit depends on a number of assumptions. The best direct observation of stored antiprotons gives $\tau_{\bar{p}}/B(\bar{p} \to e^{-}\gamma) > 7 \times 10^5$ yr. + +[g] There is some controversy about whether nuclear physics and model dependence complicate the analysis for bound neutrons (from which the best limit comes). The first limit here is from reactor experiments with free neutrons. + +[h] Lee and Yang in 1956 proposed the existence of a mirror world in an attempt to restore global parity symmetry—thus a search for oscillations between the two worlds. Oscillations between the worlds would be maximal when the magnetic fields B and $B'$ were equal. The limit for any $B'$ in the range 0 to 12.5 μT is >12 s (95% CL). + +[i] The parameters $g_A$, $g_V$, and $g_{WM}$ for semileptonic modes are defined by $\bar{E}_f[\gamma_\lambda(g_V + g_A\gamma_5) + i(g_{WM}/m_{B_i})\sigma_{\lambda\nu}q^\nu]B_i$, and $\phi_{AV}$ is defined by $g_A/g_V = |g_A/g_V|e^{i\phi_{AV}}$. See the "Note on Baryon Decay Parameters" in the neutron Particle Listings in the Full Review of Particle Physics. + +[j] Time-reversal invariance requires this to be 0° or 180°. + +[k] This coefficient is zero if time invariance is not violated. + +[l] This limit is for $\gamma$ energies between 0.4 and 782 keV. + +[n] The decay parameters $\gamma$ and $\Delta$ are calculated from $\alpha$ and $\phi$ using + +$$ \gamma = \sqrt{1-\alpha^2} \cos\phi, \quad \tan\Delta = -\frac{1}{\alpha} \sqrt{1-\alpha^2} \sin\phi. $$ + +See the "Note on Baryon Decay Parameters" in the neutron Particle Listings in the Full Review of Particle Physics. + +[o] See Particle Listings in the Full Review of Particle Physics for the pion momentum range used in this measurement. + +[p] Our estimate. See the Particle Listings for details. + +[q] A theoretical value using QED. + +[r] This branching fraction includes all the decay modes of the final-state resonance. + +[s] See AALTONEN 11H, Fig. 8, for the calculated ratio of $\Lambda_c^+\pi^0\pi^0$ and $\Lambda_c^+\pi^+\pi^-$ partial widths as a function of the $\Lambda_c(2595)^+ - \Lambda_c^+$ mass difference. At our value of the mass difference, the ratio is about 4. + +[t] $P_c^+$ is a pentaquark-charmonium state. + +[u] Not a pure measurement. See note at head of $\Lambda_b^0$ Decay Modes. + +[v] Here $h^-$ means $\pi^-$ or $K^-$. +---PAGE_BREAK--- + +# SEARCHES +not in other sections + +## Magnetic Monopole Searches + +The most sensitive experiments obtain negative results. + +Best cosmic-ray supermassive monopole flux limit: +$$< 1.4 \times 10^{-16} \text{ cm}^{-2}\text{sr}^{-1}\text{s}^{-1} \quad \text{for } 1.1 \times 10^{-4} < \beta < 1$$ + +## Supersymmetric Particle Searches + +All supersymmetric mass bounds here are model dependent. + +The limits assume: + +1) $\tilde{\chi}_1^0$ is the lightest supersymmetric particle; 2) R-parity is conserved, unless stated otherwise; + +See the Particle Listings in the Full Review of Particle Physics for a Note giving details of supersymmetry. + +### $\tilde{\chi}_I^0$ — neutralinos (mixtures of $\tilde{\gamma}$, $\tilde{Z}^0$, and $\tilde{H}_I^0$) + +Mass $m_{\tilde{\chi}_1^0} > 0$ GeV, CL = 95% +[general MSSM, non-universal gaugino masses] + +Mass $m_{\tilde{\chi}_1^0} > 46$ GeV, CL = 95% +[all $\tan\beta$, all $m_0$, all $m_{\tilde{\chi}_2^0} - m_{\tilde{\chi}_1^0}$] + +Mass $m_{\tilde{\chi}_2^0} > 62.4$ GeV, CL = 95% +$[1 < \tan\beta < 40$, all $m_0$, all $m_{\tilde{\chi}_2^0} - m_{\tilde{\chi}_1^0}$] + +Mass $m_{\tilde{\chi}_3^0} > 99.9$ GeV, CL = 95% +$[1 < \tan\beta < 40$, all $m_0$, all $m_{\tilde{\chi}_3^0} - m_{\tilde{\chi}_1^0}$] + +Mass $m_{\tilde{\chi}_4^0} > 116$ GeV, CL = 95% +$[1 < \tan\beta < 40$, all $m_0$, all $m_{\tilde{\chi}_4^0} - m_{\tilde{\chi}_1^0}$] + +### $\tilde{\chi}_I^\pm$ — charginos (mixtures of $\tilde{W}^\pm$ and $\tilde{H}_I^\pm$) + +Mass $m_{\tilde{\chi}_1^\pm} > 94$ GeV, CL = 95% +[$\tan\beta < 40$, $m_{\tilde{\chi}_1^\pm} - m_{\tilde{\chi}_1^0} > 3$ GeV, all $m_0$] + +Mass $m_{\tilde{\chi}_1^\pm} > 810$ GeV, CL = 95% +[$\ell^\pm \ell^\mp$, TchiichiC, $m_{\tilde{\chi}_1^\pm} = 0$ GeV] + +### $\tilde{\chi}^\pm$ — long-lived chargino + +Mass $m_{\tilde{\chi}^\pm} > 620$ GeV, CL = 95% [stable $\tilde{\chi}^\pm$] + +### $\tilde{\nu}$ — sneutrino + +Mass $m > 41$ GeV, CL = 95% [model independent] + +Mass $m > 94$ GeV, CL = 95% +[CMSSM, $1 \le \tan\beta \le 40$, $m_{\tilde{e}_R} - m_{\tilde{\chi}_1^0} > 10$ GeV] + +Mass $m > 3400$ GeV, CL = 95% [R-Parity Violating] +[$\tilde{\nu}_\tau \to e\mu$, $\lambda_{312} = \lambda'_{321} = 0.07$, $\lambda'_{311} = 0.11$] +---PAGE_BREAK--- + +$\tilde{e}$ — scalar electron (selectron) + +Mass $m(\tilde{e}_L) > 107$ GeV, CL = 95% [all $m_{\tilde{e}_L} - m_{\tilde{\chi}_1^0}$] + +Mass $m > 410$ GeV, CL = 95% [R-Parity Violating] +[$\ge 4\ell^\pm$, $\tilde{\ell} \to l\tilde{\chi}_1^0, \tilde{\chi}_1^0 \to \ell^\pm\ell^\mp\nu$] + +$\tilde{\mu}$ — scalar muon (smuon) + +Mass $m > 94$ GeV, CL = 95% +[CMSSM, $1 \le \tan\beta \le 40$, $m_{\tilde{\mu}_R} - m_{\tilde{\chi}_1^0} > 10$ GeV] + +Mass $m > 410$ GeV, CL = 95% [R-Parity Violating] +[$\ge 4\ell^\pm$, $\tilde{\ell} \to l\tilde{\chi}_1^0, \tilde{\chi}_1^0 \to \ell^\pm\ell^\mp\nu$] + +$\tilde{\tau}$ — scalar tau (stau) + +Mass $m > 81.9$ GeV, CL = 95% +[$m_{\tilde{\tau}_R} - m_{\tilde{\chi}_1^0} > 15$ GeV, all $\theta_\tau$, $B(\tilde{\tau} \to \tau\tilde{\chi}_1^0) = 100\%$] + +Mass $m > 286$ GeV, CL = 95% [long-lived $\tilde{\tau}$] + +$\tilde{q}$ — squarks of the first two quark generations + +Mass $m > 1.450 \times 10^3$ GeV, CL = 95% +[CMSSM, $\tan\beta = 30$, $A_0 = -2\max(m_0, m_{1/2})$, $\mu > 0$] + +Mass $m > 1630$ GeV, CL = 95% +[mass degenerate squarks] + +Mass $m > 1130$ GeV, CL = 95% +[single light squark bounds] + +Mass $m > 1.600 \times 10^3$ GeV, CL = 95% [R-Parity Violating] +[$\tilde{q} \to q\tilde{\chi}_1^0, \tilde{\chi}_1^0 \to \ell\ell\nu$, $\lambda_{121}, \lambda_{122} \neq 0$, $m_{\tilde{g}}=2400$GeV] + +$\tilde{q}$ — long-lived squark + +Mass $m > 1340$, CL = 95% [$\tilde{t}$ R-hadrons] + +Mass $m > 1250$, CL = 95% [$\tilde{b}$ R-hadrons] + +$\tilde{b}$ — scalar bottom (sbottom) + +Mass $m > 1230$ GeV, CL = 95% +[jets+$E_T$, Tstop1, $m_{\tilde{\chi}_1^0} = 0$ GeV] + +Mass $m > 307$ GeV, CL = 95% [R-Parity Violating] +[$\tilde{b} \to t\bar{d}$ or $t\bar{s}$, $\lambda''_{332}$ or $\lambda''_{331}$ coupling] + +$\tilde{t}$ — scalar top (stop) + +Mass $m > 1190$ GeV, CL = 95% +[jets+$E_T$, Tstop1, $m_{\tilde{\chi}_1^0} = 0$ GeV] + +Mass $m > 1100$ GeV, CL = 95% [R-Parity Violating] +[$\tilde{t} \to b\bar{e}$, Tstop2RPV, prompt] + +$\tilde{g}$ — gluino + +Mass $m > 2.000 \times 10^3$ GeV, CL = 95% +[jets + $E_T$, Tglu1A, $m_{\tilde{\chi}_1^0} = 0$ GeV] + +Mass $m > 2.260 \times 10^3$ GeV, CL = 95% [R-Parity Violating] +[$\ge 4\ell$, $\lambda_{12k} \neq 0$, $m_{\tilde{\chi}_1^0} > 1000$ GeV] +---PAGE_BREAK--- + +## Technicolor + +The limits for technicolor (and top-color) particles are quite varied depending on assumptions. See the Technicolor section of the full Review (the data listings). + +## Quark and Lepton Compositeness, Searches for + +### Scale Limits Λ for Contact Interactions +(the lowest dimensional interactions with four fermions) + +If the Lagrangian has the form + +$$ \pm \frac{g^2}{2\Lambda^2} \bar{\psi}_L \gamma^\mu \psi_L \bar{\psi}_L \gamma^\mu \psi_L $$ + +(with $g^2/4\pi$ set equal to 1), then we define $\Lambda \equiv \Lambda_{LL}^{\pm}$. For the full definitions and for other forms, see the Note in the Listings on Searches for Quark and Lepton Compositeness in the full Review and the original literature. + +
Λ+LL(eeee)> 8.3 TeV, CL = 95%
Λ-LL(eeee)> 10.3 TeV, CL = 95%
Λ+LL(eeμμ)> 8.5 TeV, CL = 95%
Λ-LL(eeμμ)> 9.5 TeV, CL = 95%
Λ+LL(eεττ)> 7.9 TeV, CL = 95%
Λ-LL(eεττ)> 7.2 TeV, CL = 95%
Λ+LL(ℓℓℓ)> 9.1 TeV, CL = 95%
Λ-LL(ℓℓℓ)> 10.3 TeV, CL = 95%
Λ+LL(eεεq)> 24 TeV, CL = 95%
Λ-LL(eεεq)> 37 TeV, CL = 95%
Λ+LL(eεεεu)> 23.3 TeV, CL = 95%
Λ-LL(eεεεu)> 12.5 TeV, CL = 95%
Λ+LL(eεεεd)> 11.1 TeV, CL = 95%
Λ-LL(eεεεd)> 26.4 TeV, CL = 95%
Λ+LL(eecc)> 9.4 TeV, CL = 95%
Λ-LL(eecc)> 5.6 TeV, CL = 95%
Λ+LL(eebb)> 9.4 TeV, CL = 95%
Λ-LL(eebb)> 10.2 TeV, CL = 95%
Λ+LL(μμqq)> 20 TeV, CL = 95%
Λ-LL(μμqq)> 30 TeV, CL = 95%
Λ(lνlν)> 3.10 TeV, CL = 90%
Λ(eνqq)> 2.81 TeV, CL = 95%
Λ+LL(qqqq)> 13.1 none 17.4-29.5 TeV, CL = 95%
Λ-LL(qqqq)> 21.8 TeV, CL = 95%
+---PAGE_BREAK--- + +$$ \Lambda_{LL}^{+}(\nu\nu qq) > 5.0 \text{ TeV, CL = 95\%} $$ + +$$ \Lambda_{LL}^{-}(\nu\nu qq) > 5.4 \text{ TeV, CL = 95\%} $$ + +### Excited Leptons + +The limits from $l^{*+}l^{*-}$ do not depend on $\lambda$ (where $\lambda$ is the $l^*l^*$ transition coupling). The $\lambda$-dependent limits assume chiral coupling. + +#### $e^{*\pm}$ — excited electron + +Mass $m > 103.2$ GeV, CL = 95% (from $e^*e^*$) + +Mass $m > 4.800 \times 10^3$ GeV, CL = 95% (from $e^{\pm}e^{\pm}$) + +Mass $m > 356$ GeV, CL = 95% (if $\lambda_\gamma = 1$) + +#### $\mu^{*\pm}$ — excited muon + +Mass $m > 103.2$ GeV, CL = 95% (from $\mu^*\mu^*$) + +Mass $m > 3.800 \times 10^3$ GeV, CL = 95% (from $\mu\mu^*$) + +#### $\tau^{*\pm}$ — excited tau + +Mass $m > 103.2$ GeV, CL = 95% (from $\tau^*\tau^*$) + +Mass $m > 2.500 \times 10^3$ GeV, CL = 95% (from $\tau\tau^*$) + +#### $\nu^*$ — excited neutrino + +Mass $m > 1.600 \times 10^3$ GeV, CL = 95% (from $\nu^*\nu^*$) + +Mass $m > 213$ GeV, CL = 95% (from $\nu^*X$) + +#### $q^*$ — excited quark + +Mass $m > 338$ GeV, CL = 95% (from $q^*q^*$) + +Mass $m > 6.000 \times 10^3$ GeV, CL = 95% (from $q^*X$) + +### Color Sextet and Octet Particles + +#### Color Sextet Quarks ($q_6$) + +Mass $m > 84$ GeV, CL = 95% (Stable $q_6$) + +#### Color Octet Charged Leptons ($l_8$) + +Mass $m > 86$ GeV, CL = 95% (Stable $l_8$) + +#### Color Octet Neutrinos ($\nu_8$) + +Mass $m > 110$ GeV, CL = 90% ($\nu_8 \to \nu g$) + +## Extra Dimensions + +Please refer to the *Extra Dimensions* section of the full *Review* for a discussion of the model-dependence of these bounds, and further constraints. + +### Constraints on the radius of the extra dimensions, +for the case of two-flat dimensions of equal radii + +$R < 30~\mu$m, CL = 95% (direct tests of Newton's law) + +$R < 4.8~\mu$m, CL = 95% ($pp \to jG$) + +$R < 0.16-916$ nm (astrophysics; limits depend on technique and assumptions) + +### Constraints on the fundamental gravity scale + +$M_{TT} > 9.02$ TeV, CL = 95% ($pp \to$ dijet, angular distribution) + +$M_c > 4.16$ TeV, CL = 95% ($pp \to l\bar{l}$) +---PAGE_BREAK--- + +**Constraints on the Kaluza-Klein graviton in warped extra dimensions** + +$M_G > 4.25$ TeV, CL = 95% ($pp \rightarrow \gamma\gamma$) + +**Constraints on the Kaluza-Klein gluon in warped extra dimensions** + +$M_{g_{KK}} > 3.8$ TeV, CL = 95% ($g_{KK} \rightarrow t\bar{t}$) + +## WIMP and Dark Matter Searches + +No confirmed evidence found for galactic WIMPs from the GeV to the TeV mass scales and down to $1 \times 10^{-10}$ pb spin independent cross section at M = 100 GeV. +---PAGE_BREAK--- + +# Tests of Conservation Laws + +Revised March 2020 by A. Pich (IFIC, Valencia) and M. Ramsey-Musolf (Tsung-Dao Lee Inst.; SJTU; U. Massachusetts). + +The following text discusses the best limits among those included in the full Review, where more complete details can be found. Unless otherwise specified, all limits quoted here are given at a C.L. of 90%. + +## DISCRETE SPACE-TIME SYMMETRIES + +Charge conjugation (C), parity (P) and time reversal (T) are empirically found to be symmetries of the electromagnetic (QED) and strong (QCD) interactions, but they are violated by the weak forces. The product of the three discrete symmetries, $CP^T$, is an exact symmetry of any local and Lorentz-invariant quantum field theory with a positive-definite Hermitian Hamiltonian that preserves micro-causality. + +### 1 Violations of CP and T + +The first evidence of CP non-invariance in particle physics was the observation in 1964 of $K_L^0 \to \pi^+\pi^-$ decays. The non-zero ratio $|\eta_{+-}| \equiv |\mathcal{M}(K_L^0 \to \pi^+\pi^-)/\mathcal{M}(K_S^0 \to \pi^+\pi^-)| = (2.232 \pm 0.011) \times 10^{-3}$ could be explained as a $K^0-\bar{K}^0$ mixing effect ($\eta_{+-} = \epsilon$), which would imply an identical ratio $\eta_{00} \equiv \mathcal{M}(K_L^0 \to \pi^0\pi^0)/\mathcal{M}(K_S^0 \to \pi^0\pi^0)$ in the neutral decay mode and successfully predicts the observed CP-violating semilep-tonic asymmetry $[\Gamma(K_L^0 \to \pi^-e^+e^-) - \Gamma(K_L^0 \to \pi^+e^-e_+)]/[sum] = (3.34 \pm 0.07) \times 10^{-3}$. A tiny difference between $\eta_{+-}$ and $\eta_{00}$ was reported for the first time in 1988 by the CERN NA31 experiment, and later established at the 7.2$\sigma$ level with the full data samples from the NA31, E731, NA48 and KTeV experiments: Re($\epsilon'/\epsilon$) = $\frac{1}{3}$ ($1 - |\eta_{00}/\eta_{+-}|$) = $(1.66 \pm 0.23) \times 10^{-3}$. This important measurement confirmed that CP violation is associated with a $\Delta S = 1$ transition, as predicted by the CKM mechanism. The Standard Model (SM) prediction, Re($\epsilon'/\epsilon$) = $(1.4 \pm 0.5) \times 10^{-3}$, is in good agreement with the measured ratio, although the theoretical uncertainty is unfortunately large. + +Much larger CP asymmetries have been later measured in B meson decays, many of them involving the interference between $B^0-\bar{B}^0$ mixing and the decay amplitude. They provide many successful tests of the CKM unitarity structure, validating the SM mechanism of CP violation (see the review on CP violation in the quark sector). Prominent signals of direct CP violation have been also clearly established in several $B^\pm$, $B_d^0$ and $B_s^0$ decays, and, very recently, in charm decays. + +While CP violation implies a breaking of time-reversal symmetry, direct tests of T violation are much more difficult. The CPLEAR experiment observed longtime ago a non-zero difference between the oscillation probabilities of $K^0 \to \bar{K}^0$ and $\bar{K}^0 \to K^0$. More recently, the exchange of initial and final states has been made possible in B decays, taking advantage of the entanglement of the two daughter mesons produced in the decay $\Upsilon(4S) \to B\bar{B}$ which allows for both flavor ($B^0 \to \ell^+X$, $\bar{B}^0 \to \ell^-X$) and $CP(B_+ \to J/\psi K_L^0, B_- \to J/\psi K_S^0)$ tagging. Comparing the rates of the $\bar{B}^0 \to B_\pm$ and $B^0 \to B_\pm$ transitions with their T-reversed $B_\pm \to \bar{B}^0$ and $B_\pm \to B^0$ processes, the BABAR experiment has reported the first direct observation of T violation in the B system, with a significance of $14\sigma$. + +Among the most powerful tests of P (CP) and T invariance is the search for a permanent electric dipole moment (EDM) of an elementary fermion or non-degenerate quantum system. No positive signal has been detected so far. The most stringent limits have been obtained for the EDMs of the electron, $|d_e| < 1.1 \times 10^{-29}$, mercury atom, $|d_{Hg}| < 7.4 \times$ +---PAGE_BREAK--- + +$10^{-30}$ (95% C.L.), and neutron, $|d_n| < 1.8 \times 10^{-26}$ (90% C.L.). + +## 2 Tests of CPT + +CPT symmetry implies the equality of the masses and widths of a particle and its antiparticle. The most constraining limits are extracted from the neutral kaons: $2|m_{K^0} - m_{\bar{K}^0}|/(m_{K^0} + m_{\bar{K}^0}) < 6 \times 10^{-19}$ and $2|\Gamma_{K^0} - \bar{\Gamma}_{K^0}|/(\Gamma_{K^0} + \bar{\Gamma}_{K^0}) = (8 \pm 8) \times 10^{-18}$. The measured masses and electric charges of the electron, the proton and their antiparticles provide also strong limits on CPT violation: $2|m_{e^+} - m_{-^-}|/(m_{e^+} + m_{-^-}) < 8 \times 10^{-9}$, $|q_e^+ + q_e^-|/e < 4 \times 10^{-8}$ and $|q_\bar{p}m_p/(q_\bar{p}m_{\bar{p}})| - 1 = (0.1 \pm 6.9) \times 10^{-11}$. Worth mentioning are also the tight constraints derived from the lepton and antilepton magnetic moments, $2(g_e^+ - g_{e^-})(g_{e^+} + g_{e^-}) = (-0.5 \pm 2.1) \times 10^{-12}$ and $2(g_{\mu^+} - g_{\mu^-})(g_{\mu^+} + g_{\mu^-}) = (-0.11 \pm 0.12) \times 10^{-8}$, those of the proton and antiproton, $(\mu_p + \mu_{\bar{p}})/\mu_p = (2 \pm 4) \times 10^{-9}$, and the recent measurement of the 1S-2S atomic transition in antihydrogen which agrees with the corresponding frequency spectral line in hydrogen at a relative precision of $2 \times 10^{-12}$. + +## QUANTUM-NUMBER CONSERVATION LAWS + +Conservation laws of several quantum numbers have been empirically established with a high degree of confidence. However, while some of them are deeply rooted in basic principles such as gauge invariance or Lorentz symmetry, others appear to be accidental symmetries of the SM Lagrangian and could be broken by new physics interactions. + +## 3 Electric charge + +The conservation of electric charges is associated with the QED gauge symmetry. The most precise tests are the non-observation of the decays $e \to \nu_e\gamma$ ($\tau > 6.6 \times 10^{28}$ yr) and $n \to p\nu_e\bar{\nu}_e$ (Br($< 8 \times 10^{-27}$, 68% C.L.). + +## 4 Lepton family numbers + +Neutrino oscillations show that neutrinos have tiny masses and there are sizable mixings among the lepton flavors. Nevertheless, lepton-flavor violation (LFV) in neutrinoless transitions from one charged lepton flavor to another has never been observed. Among the most sensitive probes are searches for the LFV decays of the muon, Br($\mu \to e\gamma$) < $4.2 \times 10^{-13}$ and Br($\mu \to 3e$) < $1.0 \times 10^{-12}$, as well as the conversion process $\sigma(\mu^- \text{Au} \to e^- \text{Au})/\sigma(\mu^- \text{Au} \to \text{all}) < 7 \times 10^{-13}$. Stringent limits have been also set on the LFV decay modes of the $\tau$ lepton. The large $\tau$ data samples collected at the B factories have made possible to reach a $10^{-8}$ sensitivity for many of its leptonic ($\tau \to \ell\gamma$, $\tau \to \ell'\ell^+\ell^-$) and semileptonic ($\tau \to \ell P^0$, $\tau \to \ell V^0$, $\tau \to \ell P^0 P^0$, $\tau \to \ell P^+ P'^-$) neutrinoless LFV decays. Interesting limits on LFV are also obtained in meson decays. The best bounds come from kaon experiments, e.g., Br($K_L^0 \to e^\pm\mu^\mp$) < $4.7 \times 10^{-12}$ and Br($K^+ \to \pi^+\mu^+\pi^-$) < $1.3 \times 10^{-11}$. + +The LFV decays of the Z boson were probed at LEP at the $10^{-5}$ to $10^{-6}$ level. The ATLAS collaboration has recently put a stronger bound on the $Z \to e^\pm\mu^\mp$ decay mode: Br($Z \to e^\pm\mu^\mp$) < $7.5 \times 10^{-7}$ (95% C.L.). LHC is now starting to test LFV in Higgs decays, within the available statistics. The current (95% C.L.) experimental upper bounds, Br($H^0 \to e^\pm\mu^\mp$) < $6.1 \times 10^{-5}$, Br($H^0 \to e^\pm\tau^\pm$) < $0.47\%$ and Br($H^0 \to \mu^\pm\tau^\pm$) < $0.25\%$, constrain the LFV Yukawa couplings of the Higgs boson. + +## 5 Baryon and Lepton Number + +Many experiments have searched for B- and/or L-violating transitions, but no positive signal has been identified so far. The neutrinoless double-$\beta$ decay ($Z, A) \to (Z+2, A)+e^+-e^-$ is a particularly interesting $\Delta L = 2$ process, which could represent a spectacular signal of Majorana neutrinos. The current best limit, $\tau_{1/2} > 1.07 \times 10^{26}$ yr, was obtained by +---PAGE_BREAK--- + +the kamLAND-Zen experiment with $^{136}$Xe. Stringent constraints on violations of L have been also set in $\mu^{-} \to e^{+}$ conversion in muonic atoms, the best limit being $\sigma(\mu^{-}\text{Ti} \to e^{+}\text{Ca})/\sigma(\mu^{-}\text{Ti} \to \text{all}) < 3.6 \times 10^{-11}$, and at the flavor factories through L-violating decays of the $\tau$ lepton and K, D and B mesons, such as Br($\tau^{-} \to e^{+}\pi^{-}\pi^{-}$) < $2.0 \times 10^{-8}$, Br($K^{+} \to \pi^{-}\mu^{+}\mu^{+}$) < $4.2 \times 10^{-11}$, Br($D^{+} \to \pi^{-}\mu^{+}\mu^{+}$) < $2.2 \times 10^{-8}$ and Br($B^{+} \to K^{-}e^{+}e^{+}$) < $3.0 \times 10^{-8}$. + +Proton decay would be the most relevant violation of B, as it would imply the unstability of matter. The current lower bound on the proton lifetime is $3.6 \times 10^{29}$ yr. Stronger limits have been set for particular decay modes, such as $\tau(p \to e^{+}\pi^{0}) > 1.6 \times 10^{34}$ yr. Another spectacular signal would be $n-\bar{n}$ oscillations; the lower limit on the lifetime of this $\Delta B = 2$ transition is $8.6 \times 10^{7}$ s ($2.7 \times 10^{8}$ s) for free (bound) neutrons. + +The search for B-violating decays of short-lived particles such as Z bosons, $\tau$ leptons and B mesons provides also relevant constraints. The best limits are Br($Z \to pe, p\mu$) < $1.8 \times 10^{-6}$ (95% C.L.), Br($\tau^{-} \to \Lambda\pi^{-}$) < $7.2 \times 10^{-8}$ and Br($B^{+} \to \Lambda e^{+}$) < $3.2 \times 10^{-8}$. + +## 6 Quark flavors + +While strong and electromagnetic forces preserve the quark flavor, the charged-current weak interactions generate transitions among the different quark species. Since the SM flavor-changing mechanism is associated with the $W^{\pm}$ fermionic vertices, the tree-level transitions satisfy a $\Delta F = \Delta Q$ rule where $\Delta Q$ denotes the change in charge of the relevant hadrons. The strongest tests on this conservation law have been obtained in kaon decays such as Br($K^{+} \to \pi^{+}\pi^{+}e^{-}v_{e}) < 1.3 \times 10^{-8}$, and (Re$x$, Im$x$) = $(-0.002 \pm 0.006, 0.0012 \pm 0.0021)$ where $x \equiv M(\overline{K^{0}} \to \pi^{-}\ell^{+}\nu)/M(K^{0} \to \pi^{-}\ell^{+}\nu)$. + +The $\Delta F = \Delta Q$ rule can be violated through quantum loop contributions giving rise to flavor-changing neutral-current transitions (FCNCs). Owing to the GIM mechanism, processes of this type are very suppressed in the SM, which makes them a superb tool in the search for new physics associated with the flavor dynamics. Within the SM itself, these transitions are also sensitive to the heavy-quark mass scales and have played a crucial role identifying the size of the charm $(K^{0}-\overline{K}^{0}$ mixing) and top $(B^{0}-\overline{B}^{0}$ mixing) masses before the discovery of those quarks. In addition to the well-established $\Delta F = 2$ mixings in neutral K and B mesons, there is now strong evidence for the mixing of the $D^{0}$ meson and its antiparticle. + +The FCNC kaon decays into lepton-antilepton pairs put stringent constraints on new flavor-changing interactions. The rate Br($K_{L}^{0} \to \mu^{+}\mu^{-}) = (6.84 \pm 0.11) \times 10^{-9}$ is completely dominated by the $2\gamma$ absorptive contribution, leaving very little room for new-physics. Another very clean test of FCNCs will be soon provided by the decay $K^{+} \to \pi^{+}\nu\nu$. With a predicted SM branching fraction of $(7.8 \pm 0.8) \times 10^{-11}$, the CERN NA62 experiment is aiming to collect around 100 events. Even more interesting is the CP-violating neutral mode $K_{L}^{0} \to \pi^{0}\nu\nu$, but the current upper bound of $3.0 \times 10^{-9}$ is still far away from the SM prediction. + +The LHC experiments have recently measured Br($B_{s}^{0} \to \mu^{+}\mu^{-}) = (3.0 \pm 0.4) \times 10^{-9}$, consistent with the SM expectation. At present, there is a lot of interest on the decays $B \to K^{(*)}\ell^{+}\ell^{-}$ where sizable discrepancies between the measured data and the SM predictions have been reported. In particular, the LHCb experiment has found the ratios of produced muons versus electrons to be around $2.5\sigma$ below the SM predictions, both in $B \to K^{*}\ell^{+}\ell^{-}$ and in $B^{+} \to K^{+}\ell^{+}\ell^{-}$, suggesting a significant violation of lepton universality. The current Belle-II measurements of these ratios are consistent with the SM, but they are also compatible with the LHCb results. +---PAGE_BREAK--- + +# 9. Quantum Chromodynamics + +Revised August 2019 by J. Huston (Michigan State U.), K. Rabbertz (KIT) and G. Zanderighi (MPI Munich). + +Our final world average value is: + +$$ \alpha_s(M_Z^2) = 0.1179 \pm 0.0010. \qquad (9.25) $$ + +Figure 9.2: Summary of determinations of $\alpha_s(M_Z^2)$ from the seven sub-fields discussed in the text. The yellow (light shaded) bands and dashed lines indicate the pre-average values of each sub-field. The dotted line and grey (dark shaded) band represent the final world average value of $\alpha_s(M_Z^2)$. +---PAGE_BREAK--- + +## 10. Electroweak Model and Constraints on New Physics + +Revised April 2020 by J. Erler (IF-UNAM; U. of Mainz) and A. Freitas (Pittsburg U.). + +The standard model of the electroweak interactions (SM) [1–4] is based on the gauge group SU(2) × U(1), with gauge bosons $W_{\mu}^{t}$, $i = 1, 2, 3$, and $B_{\mu}$ for the SU(2) and U(1) factors, respectively, and the corresponding gauge coupling constants $g$ and $g'$. + +Figure 10.5: One-standard-deviation (39.35%) regions in $M_W$ as a function of $m_t$ for the direct and indirect data, and the 90% CL region ($\Delta\chi^2 = 4.605$) allowed by all data. + +**Table 10.8:** Values of $\hat{s}_Z^2$, $s_W^2$, $\alpha_s$, $m_t$ and $M_H$ for various data sets. In the fit to the LHC data, the $\alpha_s$ constraint is from a combined NNLO analysis of inclusive electroweak boson production cross-sections at the LHC [315]. Likewise, for the Tevatron fit we use the $\alpha_s$ result from the inclusive jet cross-section at DØ [316]. + +
data sets2Zs2Wαs(MZ)mt [GeV]MH [GeV]
all data0.23121(4)0.22337(10)0.1185(16)173.2 ± 0.6125
all data except MH0.23107(9)0.22309(19)0.1189(17)172.9 ± 0.690+18-16
all data except MZ0.23111(6)0.22334(10)0.1185(16)172.9 ± 0.6125
all data except MW0.23123(4)0.22345(11)0.1189(17)172.9 ± 0.6125
all data except mt0.23113(6)0.22305(21)0.1190(17)176.3 ± 1.9125
MH,Z + ΓZ + mt0.23126(8)0.22351(17)0.1215(47)172.9 ± 0.6125
LHC0.23113(10)0.22337(13)0.1188(16)172.7 ± 0.6125
Tevatron + MZ0.23102(13)0.22295(30)0.1160(44)174.3 ± 0.899+32-26
LEP 1 + LEP 20.23137(18)0.22353(46)0.1235(29)178 ± 11201+29-18
LEP 1 + SLD0.23116(17)0.22348(58)0.1221(27)169 ± 1080+147-39
SLD + MZ + ΓZ + mt0.23064(28)0.22227(54)0.1188(48)172.9 ± 0.637+21-30
A(b,c)FB + MZ + ΓZ + mt0.23176(27)0.22467(66)0.1266(46)172.9 ± 0.6280+145-199
MW,Z + ΓW,Z + mt0.23103(12)0.22302(25)0.1198(44)172.9 ± 0.684+24-20
low energy + MH,Z0.23176(94)0.2254(35)0.1171(18)156 ± 29125
+---PAGE_BREAK--- + +**Table 10.9:** Values of model-independent neutral-current parameters, compared with the SM predictions, where the uncertainties in the latter are $\lesssim 0.0001$, throughout. + +
QuantityExperimental ValueStandard ModelCorrelation
$g_{LV}^{ve}$$-0.040 \pm 0.015$$-0.0398$$-0.05$
$g_{LA}^{ve}$$-0.507 \pm 0.014$$-0.5064$
$2g_{AV}^{eu} + 2g_{AV}^{ed}$$0.4927 \pm 0.0031$$0.4950$$-0.88$$0.20$
$2g_{AV}^{eu} - g_{AV}^{ed}$$-0.7165 \pm 0.0068$$-0.7195$$-0.22$
$2g_{VA}^{eu} - g_{VA}^{ed}$$-0.13 \pm 0.06$$-0.0954$
$g_{VA}^{ee}$$0.0190 \pm 0.0027$$0.0227$
+ +The masses and decay properties of the electroweak bosons and low energy data can be used to search for and set limits on deviations from the SM. + +Figure 10.6: $1\sigma$ constraints (39.35% for the closed contours and 68% for the others) on $S$ and $T$ (for $U=0$) from various inputs combined with $M_Z$. $S$ and $T$ represent the contributions of new physics only. Data sets not involving $M_W$ or $\Gamma_W$ are insensitive to $U$. With the exception of the fit to all data, we fix $\alpha_s = 0.1185$. The black dot indicates the Standard Model values $S=T=0$. +---PAGE_BREAK--- + +Revised December 2019 by M. Carena (FNAL; Chicago U.; Chicago U., Kavli Inst.), C. Grojean (Theoriegruppe, DESY, Hamburg; Physik, Humboldt U.), M. Kado (Rome U. Sapienza; INFN, Rome; U. Paris-Saclay, IJCLab) and V. Sharma (UC San Diego). + +The discovery of the Higgs boson in 2012 confirmed our understanding of the fundamental interactions based on local symmetries spontaneously broken by a non-trivial vacuum structure. It also offered an explanation of the generation of mass in a chiral theory. However, new conundrums about what lies beyond the Standard Model (SM) have come fore. + +Since 2012, substantial progress has been made, yielding an increas- +ingly precise profile of the properties of the Higgs boson. New landmark +results have been achieved in the direct observation of the couplings of +the Higgs boson to the third generation fermions (the τ ± and the b and +top quarks). + +Within the SM, all the production and decay rates of the Higgs boson can be predicted to high accuracy in terms of its mass and of other parameters already known with great accuracy, so the measurements in the Higgs sector appraise the robustness of the SM. + +Total SM production cross-section at LHC operating at 13 TeV + +$$ +\sigma_{\text{tot}}^{13 \text{ TeV}}(H) = 55.1 \pm 2.8 \text{ pb} +$$ + +$$ +g_t \to H \bar{q} \\ +\sigma(ggH) = 48.6 \pm 2.8 \text{ pb} +$$ + +$$ +\bar{q} \to q \bar{t} \\ +\sigma(\text{VBF}) = 3.78 \pm 0.08 \text{ pb} +$$ + +$$ +g'_{q} \to WZ, ZW \\ +\sigma(WH, ZH) = 1.37 \pm 0.03, 0.88 \pm 0.03 \text{ pb} +$$ + +$$ +g_{q\bar{q}}^{\prime} \to t\bar{t} \\ +\sigma(t\bar{t}H) = 0.50 \pm 0.04 \text{ pb} +$$ + +Total SM Higgs boson width + +$$ +\Gamma_H = (4.07 \pm 4.0\%) \text{ MeV} +$$ + +Main SM branching ratios and their relative uncertainty + +$$ +\begin{align*} +\mathrm{Br}(H \to b\bar{b}) &= (5.82 \pm 1.2\%) \times 10^{-1} & \mathrm{Br}(H \to WW) &= (2.14 \pm 1.5\%) \times 10^{-1} \\ +\mathrm{Br}(H \to \tau\tau) &= (6.27 \pm 1.6\%) \times 10^{-2} & \mathrm{Br}(H \to ZZ) &= (2.62 \pm 1.5\%) \times 10^{-2} \\ +\mathrm{Br}(H \to \gamma\gamma) &= (2.27 \pm 2.1\%) \times 10^{-3} & \mathrm{Br}(H \to Z\gamma) &= (1.53 \pm 5.8\%) \times 10^{-3} \\ +\mathrm{Br}(H \to c\bar{c}) &= (2.89 \pm 3.75\%) \times 10^{-2} & \mathrm{Br}(H \to \mu\bar{\mu}) &= (2.18 \pm 1.7\%) \times 10^{-4} +\end{align*} +$$ + +**Figure:** Main leading order Feynman diagrams contributing to the Higgs production at the LHC. The SM predictions for the production cross sections at a centre-of-mass energy of 13 TeV and the branching fractions for the dominant decay modes are indicated assuming a Higgs boson mass of 125 GeV. +---PAGE_BREAK--- + +The ATLAS and CMS experiments have measured the mass of the Higgs boson in the diphoton and the four-lepton channels at per mille precision, $m_H = 125.10 \pm 0.14$ GeV. The quantum numbers of the Higgs boson have been probed in greater detail and show an excellent consistency with the $J^{PC} = 0^{++}$ hypothesis. + +The coupling structure of the Higgs boson has been studied in a large number of channels, in the main production mechanisms at the LHC which are illustrated in the Figure. The Table summarises the ATLAS and CMS measurements and limits on the cross sections times branching ratios, normalised to their SM expectations in the main Higgs analysis channels. Further information on the couplings of the Higgs boson are also obtained from differential cross sections and searches for rare and exotic production and decay modes, including invisible decays. + +All measurements are consistent with the SM predictions and provide stringent constraints on a large number of scenarios of new physics. + +The review discusses in detail the latest developments in theories extending the SM to solve the fundamental questions raised by the existence of the Higgs boson. + +**Table:** Summary of the ATLAS (A) and CMS (C) measurements of the signal strengths in the various channels (the products of the production rates times the branching ratios normalised to their SM values). Results for the rare modes are reported in the column corresponding to the primary production mode, while the secondary production modes used in the analyses are indicated as "Incl.". Limits on the invisible ("Inv.") as well as $Z\gamma$ and $\gamma^*\gamma$ decays are set at 95% confidence level, and the expected sensitivities are given in parentheses. + +
Decay modeggHVBFVHttH
γγ (A)0.96 ± 0.141.39+0.40-0.351.09+0.58-0.541.34+0.42-0.36
γγ (C)1.15 ± 0.150.8+0.4-0.32.3+1.1-1.02.27+0.86-0.74
4ℓ (A)1.05 ± 0.162.68+0.98-0.830.68+1.20-0.781.2+1.4-0.8
4ℓ (C)0.97+0.13-0.110.64+0.48-0.371.15+0.93-0.740.1+0.9-0.1
WW* (A)1.08 ± 0.190.59 ± 0.363.27 ± 1.841.50 ± 0.58
WW* (C)1.35+0.21-0.190.59 ± 0.363.27 ± 1.841.50 ± 0.58
τ+τ- (A)0.96+0.59-0.521.16+0.58-0.531.38+1.13-0.96
τ+τ- (C)0.36+0.36-0.371.03+0.30-0.29-0.33 ± 1.020.28 ± 1.02
bb (A)5.8 ± 4.02.5 ± 1.31.16 ± 0.260.79 ± 0.60
bb (C)2.3 ± 1.71.3 ± 1.21.01 ± 0.221.49 ± 0.44
μ+μ- (A)0.5 ± 0.7Incl.
μ+μ- (C)1.0 ± 1.0
Zγ (A)< 6.6 (5.2)Incl.
Zγ, γ*γ (C)< 3.9 (2.0)Incl.Incl.
+ + + + + + + + + + + + + + + + + + +
+ Inv. (A) + + - + + <37% (28%) + + <67% (39%) + + - +
+ Inv. (C) + + <66% (59%) + + <33% (25%) + + <40% (42%) + + <46% (48%) +
+---PAGE_BREAK--- + +12. CKM Quark-Mixing Matrix + +Revised March 2020 by A. Ceccucci (CERN), Z. Ligeti (LBNL) and Y. Sakai (KEK). + +Highlights from full review. + +$$ +V_{\text{CKM}} \equiv V_L^u V_L^{d\dagger} = \begin{pmatrix} V_{ud} & V_{us} & V_{ub} \\ V_{cd} & V_{cs} & V_{cb} \\ V_{td} & V_{ts} & V_{tb} \end{pmatrix}. \quad (12.2) +$$ + +This Cabibbo-Kobayashi-Maskawa (CKM) matrix [1,2] is a 3 × 3 unitary +matrix. It can be parameterized [3] by three mixing angles and the CP- +violating KM phase [2]. + +Motivated by the Wolfenstein parameterization to exhibit the hierar- +chical structure of the CKM matrix, we define [4–6] + +$$ +s_{12} = \lambda = \frac{|V_{us}|}{\sqrt{|V_{ud}|^2 + |V_{us}|^2}}, \qquad s_{23} = A\lambda^2 = \lambda \left| \frac{V_{cb}}{V_{us}} \right|, +$$ + +$$ +s_{13}e^{i\delta} = V_{ub}^* = A\lambda^3(\rho + i\eta) = \frac{A\lambda^3(\bar{\rho} + i\bar{\eta})\sqrt{1 - A^2\lambda^4}}{\sqrt{1 - \lambda^2}[1 - A^2\lambda^4(\bar{\rho} + i\bar{\eta})]}. \quad (12.4) +$$ + +These ensure that $\bar{\rho} + i\bar{\eta} = -(V_{ud}V_{ub}^*)/(V_{cd}V_{cb}^*)$ is phase convention independent, and the CKM matrix written in terms of $\lambda, A, \bar{\rho},$ and $\bar{\eta}$ is unitary to all orders in $\lambda$. To $\mathcal{O}(\lambda^4)$ one can write $V_{CKM}$ as + +$$ +V_{\text{CKM}} = \begin{pmatrix} +1 - \lambda^2/2 & \lambda & A\lambda^3(\rho - i\eta) \\ +-\lambda & 1 - \lambda^2/2 & A\lambda^2 \\ +A\lambda^3(1 - \rho - i\eta) & -A\lambda^2 & 1 +\end{pmatrix} + \mathcal{O}(\lambda^4). \tag{12.5} +$$ + +The unitarity implies $\sum_i V_{ij} V_{ik}^* = \delta_{jk}$ and $\sum_j V_{ij} V_{kj}^* = \delta_{ik}$. The six vanishing combinations can be represented as triangles in a complex plane. The areas of all triangles are the same and are half of the Jarlskog invariant, $J$ [7], which is a phase-convention-independent measure of CP violation, defined by $\mathrm{Im}[V_{ij}V_{kl}V_{il}^*V_{kj}^*] = J \sum_{m,n} \varepsilon_{ikm}\varepsilon_{jln}$. The most commonly used unitarity triangle arises from + +$$ +V_{ud} V_{ub}^* + V_{cd} V_{cb}^* + V_{td} V_{tb}^* = 0, \quad (12.6) +$$ + +by dividing each side by the best-known one, $V_{cd}V_{cb}^*$ (see Fig. 12.1). + +Figure 12.1: Sketch of the unitarity triangle. +---PAGE_BREAK--- + +The magnitudes of the independently measured CKM elements are + +$$V_{\text{CKM}} = \begin{pmatrix} 0.97370 \pm 0.00014 & 0.2245 \pm 0.0008 & 0.00382 \pm 0.00024 \\ 0.221 \pm 0.004 & 0.987 \pm 0.011 & 0.0410 \pm 0.0014 \\ 0.0080 \pm 0.0003 & 0.0388 \pm 0.0011 & 1.013 \pm 0.030 \end{pmatrix},$$ + +and the angles of the unitarity triangle are + +$$\sin(2\beta) = 0.699 \pm 0.017, \quad \alpha = (84.9^{+5.1}_{-4.5})^\circ, \quad \gamma = (72.1^{+4.1}_{-4.5})^\circ.$$ + +Using those values, one can check the unitarity of the CKM matrix: + +$|V_{ud}|^2 + |V_{us}|^2 + |V_{ub}|^2 = 0.9985 \pm 0.0005$ (1st row), $|V_{cd}|^2 + |V_{cs}|^2 + |V_{cb}|^2 = 1.025 \pm 0.022$ (2nd row), $|V_{ud}|^2 + |V_{cd}|^2 + |V_{td}|^2 = 0.9970 \pm 0.0018$ (1st column), and $|V_{us}|^2 + |V_{cs}|^2 + |V_{ts}|^2 = 1.026 \pm 0.022$ (2nd column). + +## 12.4 Global fit in the Standard Model + +A global fit with three generation unitarity imposed gives + +$$\lambda = 0.22650 \pm 0.00048, \quad A = 0.790^{+0.017}_{-0.012},$$ + +$$\bar{\rho} = 0.141^{+0.016}_{-0.017}, \qquad \bar{\eta} = 0.357 \pm 0.011, \qquad (12.26)$$ + +$$V_{\text{CKM}} = \begin{pmatrix} 0.97401 \pm 0.00011 & 0.22650 \pm 0.00048 & 0.00361^{+0.00011}_{-0.0009} \\ 0.22636 \pm 0.00048 & 0.97320 \pm 0.00011 & 0.04053^{+0.00083}_{-0.0006} \\ 0.00854^{+0.00023}_{-0.00016} & 0.03978^{+0.00082}_{-0.0006} & 0.999172^{+0.0016}_{-0.00035} \end{pmatrix}, \qquad (12.27)$$ + +and the Jarlskog invariant of $J = (3.00^{+0.15}_{-0.09}) \times 10^{-5}$. + +Figure 12.2: Constraints on the $\bar{\rho}, \bar{\eta}$ plane from various measurements and the global fit result. The shaded 99% CL regions overlap consistently. +---PAGE_BREAK--- + +13. CP Violation in the Quark Sector + +Revised August 2019 by T. Gershon (Warwick U.) and Y. Nir (Weizmann Inst.). + +Within the Standard Model, *CP* symmetry is broken by complex phases in the Yukawa couplings (that is, the couplings of the Higgs scalar to quarks). When all manipulations to remove unphysical phases in this model are exhausted, one finds that there is a single *CP*-violating parameter [17]. In the basis of mass eigenstates, this single phase appears in the $3 \times 3$ unitary matrix that gives the W-boson couplings to an up-type antiquark and a down-type quark. The beautifully consistent and economical Standard-Model description of *CP* violation in terms of Yukawa couplings, known as the Kobayashi-Maskawa (KM) mechanism [17], agrees with all measurements to date. Furthermore, one can fit the data allowing new physics contributions to loop processes to compete with, or even dominate over, the Standard Model amplitudes [18,19]. Such analyses provide model-independent proof that the KM phase is different from zero, and that the matrix of three-generation quark mixing is the dominant source of *CP* violation in meson decays. + +The current level of experimental accuracy and the theoretical uncertainties involved in the interpretation of the various observations leave room, however, for additional subdominant sources of CP violation from new physics. Indeed, almost all extensions of the Standard Model imply that there are such additional sources. Moreover, CP violation is a necessary condition for baryogenesis, the process of dynamically generating the matter-antimatter asymmetry of the Universe [20]. Despite the phenomenological success of the KM mechanism, it fails (by several orders of magnitude) to accommodate the observed asymmetry [21]. This discrepancy strongly suggests that Nature provides additional sources of CP violation beyond the KM mechanism. The expectation of new sources motivates the large ongoing experimental effort to find deviations from the predictions of the KM mechanism. + +Using the notation $M^0$ to represent generically one of the $K^0$, $D^0$, $B^0$ or $B_s^0$ particles, we denote the state of an initially pure $|M^0\rangle$ or $\overline{|M^0\rangle}$ after an elapsed proper time $t$ as $|M_{\text{phys}}^0(t)\rangle$ or $\overline{|M_{\text{phys}}^0(t)\rangle}$, respectively. Defining $x \equiv \Delta m / \Gamma$ and $y \equiv \Delta \Gamma / (2\Gamma)$, where $\Delta m$ and $\Delta \Gamma$ are the mass and width differences between the two eigenstates of the effective Hamiltonian, $|M_L\rangle \propto p|M^0\rangle + q|\overline{M}^0\rangle$ and $|M_H\rangle \propto p|M^0\rangle - q|\overline{M}^0\rangle$, and $\Gamma$ is their average width, one obtains the following time-dependent rates for decay to a final state $f$: + +$$ \frac{1}{e^{-\Gamma t} N_f} d\Gamma [M_{\text{phys}}^0(t) \rightarrow f] / dt = $$ + +$$ |A_f|^2 \left\{ (1 + |\lambda_f|^2) \cosh(y\Gamma t) + (1 - |\lambda_f|^2) \cos(x\Gamma t) + 2 \mathcal{R}e(\lambda_f) \sinh(y\Gamma t) - 2 \mathcal{I}m(\lambda_f) \sin(x\Gamma t) \right\}, $$ + +$$ \frac{1}{e^{-\Gamma t} N_f} d\Gamma [\bar{M}_{\text{phys}}^0(t) \to f] / dt = $$ + +$$ |(p/q) A_f|^2 \left\{ (1 + |\lambda_f|^2) \cosh(y\Gamma t) - (1 - |\lambda_f|^2) \cos(x\Gamma t) + 2 \mathcal{R}e(\lambda_f) \sinh(y\Gamma t) + 2 \mathcal{I}m(\lambda_f) \sin(x\Gamma t) \right\}, $$ +---PAGE_BREAK--- + +where $N_f$ is a normalization factor and $\lambda_f = (q/p)(\overline{A}_f/A_f)$ with $A_f(\overline{A}_f)$ the amplitude for the $M^0(\overline{M}^0) \to f$ decay. Considering the case that $f$ is a CP eigenstate, we distinguish three types of CP-violating effects that can occur in the quark sector: + +I. CP violation in decay, defined by $|\overline{A}_f/A_f| \neq 1$. + +II. CP violation in mixing, defined by $|q/p| \neq 1$. + +III. CP violation in interference between decays with and without mixing, defined by $\arg(\lambda_f) \neq 0$. + +It is also common to refer to indirect CP violation effects, which are consistent with originating from a single CP violating phase in neutral meson mixing, and direct CP violation effects, which cannot be explained in this way. CP violation in mixing (type II) is indirect; CP violation in decay (type I) is direct. + +Many CP violating observables have been studied by experiments. Here we summarise only a sample of the most important measurements, including some parameters defined using common notation for the asymmetry between $\overline{B}_{\text{phys}}^0(t)$ and $B_{\text{phys}}^0(t)$ time-dependent decay rates + +$$A_f(t) = S_f \sin(\Delta mt) - C_f \cos(\Delta mt),$$ + +where $S_f \equiv 2 \text{Im}(\lambda_f) / (1 + |\lambda_f|^2)$, $C_f \equiv (1 - |\lambda_f|^2) / (1 + |\lambda_f|^2)$. + +* Indirect CP violation in $K \to \pi\pi$ and $K \to \pi\ell\nu$ decays, given by + $$|\epsilon| = (2.228 \pm 0.011) \times 10^{-3}.$$ + +* Direct CP violation in $K \to \pi\pi$ decays, given by + $$\text{Re}(\epsilon'/\epsilon) = (1.65 \pm 0.26) \times 10^{-3}.$$ + +* Direct CP violation has been established in the difference of asymmetries for $D^0 \to K^+K^-$ and $D^0 \to \pi^+\pi^-$ decays + $$\Delta a_{CP} = (-0.164 \pm 0.028) \times 10^{-3}.$$ + +* CP violation in the interference of mixing and decay in the tree-dominated $b \to c\bar{c}s$ transitions, such as $B^0 \to \psi K_S$, given by + $$S_{\psi K^0} = +0.699 \pm 0.017.$$ + +Within the Standard Model, this result can be interpreted with low theoretical uncertainty as measurement of $\sin(2\beta)$, where $\beta$ is an angle of the unitarity triangle. + +* The CP violation parameters in the $B^0 \to \pi^+\pi^-$ mode, + $$S_{\pi^+\pi^-} = -0.63 \pm 0.04, \quad C_{\pi^+\pi^-} = -0.32 \pm 0.04.$$ + +Together with measurements of other $B \to \pi\pi$ and similar decays, these results can be used to obtain constraints on the angle $\alpha$ of the unitarity triangle. + +* Direct CP violation in $B^+ \to DK^+$ decays, where $D_+$ and $D_{K-\pi^+}$ represent that the D meson is reconstructed in a CP-even and the suppressed $K^-\pi^+$ final state respectively, + $$A_{B^+ \to D_+ K^+} = +0.129 \pm 0.012, \quad A_{B^+ \to D_{K-\pi^+} K^+} = -0.41 \pm 0.06.$$ + +Together with measurements of other $B \to DK$ and similar decays, these results can be used to obtain constraints on the angle $\gamma$ of the unitarity triangle. +---PAGE_BREAK--- + +Revised August 2019 by M.C. Gonzalez-Garcia (YITP, Stony Brook; ICREA, Barcelona; ICC, U. of Barcelona) and M. Yokoyama (Tokyo U.; Kavli IPMU (WPI), U. Tokyo). + +**14. Neutrino Masses, Mixing, and Oscillations** + +The weak neutrino eigenstates $|ν_α⟩$, i. e. the states produced in the weak CC interaction by the charged leptons $ℓ_α$ ($α = 1, 2, 3$), are linear combination of the mass eigenstates $|ν_i⟩$ ($i = 1, 2, 3$) (eigenvalues $m_i$) + +$$ |ν_α⟩ = \sum_{i=1}^{n} U_{α i}^{*} |ν_i⟩, \qquad (14.35) $$ + +where $U$ is the mixing matrix. $U$, assumed to be unitary, can be expressed in terms of three mixing angles, taken by convention $0 ≤ θ_{ij} ≤ π/2$, and phases $\in (0, 2π)$. Experimentally, two masses are close to one another, while the third is more separated. The former ones are defined as $ν_1$ and $ν_2$, with the lighter being $ν_1$. The sign of the larger mass difference defines two possible mass orderings, either “normal” (NO) $m_3 > m_2 > m_1$, or “inverted” (IO) $m_2 > m_1 > m_3$. Experiments show that $|U_{e1}| ≥ |U_{e2}| ≥ |U_{e3}|$. The mixing matrix is given by + +$$ U = \begin{pmatrix} c_{12} & c_{13} & s_{12} & c_{13} & s_{13} & e^{-i\delta} \\ -s_{12} & c_{23} & -c_{12} & s_{23} & e^{i\delta} & c_{12} \\ s_{12} & s_{23} & -c_{12} & s_{13} & c_{23} & e^{i\delta} \\ -c_{12} & s_{23} & -s_{12} & c_{13} & s_{23} & e^{i\delta} \\ c_{12} & c_{23} & -c_{12} & c_{23} & s_{13} & e^{i\delta} \\ c_{13} & s_{23} & c_{13} & s_{23} & c_{13} & e^{-i\delta} \end{pmatrix} \times \operatorname{diag}(e^{im_1}, e^{im_2}, 1) \qquad (14.33) $$ + +where $c_{ij} = \cos\theta_{ij}$, $s_{ij} = \sin\theta_{ij}$, $\delta = \delta_{CP}$. The phases $\eta_1$ and $\eta_2$ are physical if neutrinos are Majorana particles (but irrelevant for oscillations and matter effects), while can be absorbed in the wave functions in the Dirac case. For propagation in vacuum, assuming the state $|ν_α(t)⟩$ to be a plane monoenergetic ultra-relativistic wave (namely $p \sim E$), the oscillation probability between two flavours $\alpha$ and $\beta$ is + +$$ P_{\alpha\beta} = \delta_{\alpha\beta} - 4 \sum_{i
ParameterNUFIT w/o SK-atBARIVALENCIA
NO
sin2 θ12/10-13.10+0.13-0.123.04+0.14-0.133.20+0.20-0.16
sin2 θ23/10-15.58+0.20-0.335.51+0.19-0.805.47+0.20-0.30
sin2 θ13/10-22.241+0.066-0.0652.14+0.09-0.072.160+0.063-0.066
δCP222+38-28238+41-33218+38-27
Δm221/meV273.9+2.1-2.073.4+1.7-1.475.5+2.0-1.6
Δm232/meV22449+32-302419+35-322424+30-30
IOΔχ2 = 6.2Δχ2 = 9.5Δχ2 = 11.7
sin2 θ12/10-13.10+0.13-0.123.03+0.14-0.133.20+0.20-0.16
sin2 θ23/10-15.63+0.19-0.265.57+0.17-0.245.51+0.18-0.30
sin2 θ13/10-22.261+0.067-0.0642.18+0.08-0.072.220+0.074-0.076
δCP285+24-26247+26-27281+23-27
Δm221/meV273.9+2.1-2.073.4+1.7-1.475.5+2.0-1.6
Δm232/meV2-2509+32-32-2478+35-33-2500+40-30
+ +Fig. 14.9 shows the allowed regions of the NUFIT analysis in terms, as an example, of one of the six leptonic unitary triangles (taking U as unitary by definition) + +Information on the absolute scale of neutrino masses comes from three different sources. + +1 Cosmology provides indirect limits on the sum of neutrino masses $\sum_{i=1}^{3} m_i$ (see Sec. 25. Neutrinos in cosmology). + +2 Measurements, with sub-eV energy resolution, of the end-point of the electron energy spectrum in the decay $^{3}\text{H} \rightarrow ^{3}\text{He} + e^{-} + \bar{\nu}_{e}$ gives direct information on $(m_{\nu_{e}}^{eff})^{2} = \sum_{i=1}^{3} m_{i}^{2}|U_{ei}|^{2}$. First result released by the KATRIN experiment provide $m_{\nu_{e}}^{eff} < 1.1$ eV at 90% CL. + +3 Neutrino-less double beta decay ($A, Z) \rightarrow (A, Z+2) + 2e^{-}$ is forbidden in the SM as it violates lepton number conservation (by +---PAGE_BREAK--- + +2 units). However, if neutrino is a Majorana particle measure- +ments of the half-lives $T_{1/2}^{0\nu}$ of different isotopes give information +on $m_{ee} = |\sum_{i=1}^{3} m_i U_{ei}^2|$. The sensitivity reached by experiments +on $^{136}$Xe and $^{76}$Ge ($T_{1/2}^{0\nu} \sim 10^{26}$yr) give bounds of $m_{ee} < 61-165$ +meV. + +Figure 14.9: Leptonic unitarity triangle for the first and third columns of the mixing matrix. After scaling and rotating the triangle so that two of its vertices always coincide with (0, 0) and (1, 0) the figure shows the 1σ, 90%, 2σ, 99%, 3σ CL (2 dof) allowed regions of the third vertex for the NO from the analysis in Ref. [187,188]. +---PAGE_BREAK--- + +Revised August 2019 by C. Amsler (Stefan Meyer Inst.), T. DeGrand (Colorado U., Boulder) and B. Krusche (Basel U.). + +The quarks are strongly interaction spin-1/2 fermions, whose parity is +positive by convention. The charges of the u, c, and t quarks are +2/3, +while those of the d, s, and b are -1/3. Their anti-quarks have the +opposite charges and parities. By convention, the s quark is said to have +negative strangeness and the c quark positive charm. The two lightest +quarks, u and d, obey to a high degree an SU(2) symmetry called isospin, +with u having $I_z$ = 1/2 and d having $I_z$ = -1/2. The other quarks can +be assigned zero isospin. + +Quarks have baryon number $B = 1/3$, while anti-quarks have $B = -1/3$. The mesons, which are pairs of quarks and anti-quarks, have $B = 0$ and can be characterized by their intrinsic spin $s$, orbital angular momentum $l$, and total spin $J$, lying between $|l-s|$ and $l+s$. The charge conjugation, or C, of meson is $(-1)^{l+s}$ while its parity is $(-1)^{l+1}$. G-parity combines the charge-conjugation and isospin symmetries: $G = Ce^{-i\pi l/2}$. Mesons made of a quark and its antiquark are G-parity eigenstates with $G = (-1)^{I+l+s}$. + +The three lightest quarks, *u*, *d*, and *s*, respect an approximate sym- +metry, flavor SU(3), with quarks belonging to the **3** representation and +anti-quarks to the **\bar{3}** representation. The quark-anti-quark states made +from *u*, *d*, and *s* can be classified according to + +$$ +\mathbf{3} \otimes \bar{\mathbf{3}} = \mathbf{8} \oplus \mathbf{1}. \qquad (15.3) +$$ + +A fourth quark such as charm $c$ can be included by extending SU(3) to SU(4). However, SU(4) is badly broken owing to the much heavier $c$ quark. Nevertheless, in an SU(4) classification, the sixteen mesons are grouped into a 15-plet and a singlet: + +$$ +4 \otimes \overline{4} = 15 \oplus 1. \tag{15.4} +$$ + +Baryons are made of three quarks (aside from a five-quark state re- +cently observed at the LHC), allowing for more complex possibilities. +The flavor SU(3) content of baryons made of u, d, and s is governed by + +$$ +\mathbf{3} \otimes \mathbf{3} \otimes \mathbf{3} = \mathbf{10} \oplus \mathbf{8} \oplus \mathbf{8} \oplus \mathbf{1}. \qquad (15.29) +$$ + +The intrinsic spin of the three quarks yields either $s = 1/2$ or $s = 3/2$. +The proton and neutron are members of an octet, while the spin-3/2 +$\Delta^{++}$ is a member of a decuplet. + +The strong interactions are described by the color SU(3) gauge theory, with each quark coming in three “colors.” The color triplets interact through a color octet of gluons, gauge vector bosons. These are responsible for the formation of the bound states, mesons and baryons. +---PAGE_BREAK--- + +## 22. Big-Bang Cosmology + +Revised August 2019 by K.A. Olive (Minnesota U.) and J.A. Peacock (Edinburgh U.). + +### 22.1.1 The Robertson-Walker Universe + +The observed homogeneity and isotropy enable us to write the most general expression for a space-time metric which has a (3D) maximally symmetric subspace of a 4D space-time, known as the Robertson-Walker metric: + +$$ds^2 = dt^2 - R^2(t) \left[ \frac{dr^2}{1-kr^2} + r^2(d\theta^2 + \sin^2\theta d\phi^2) \right]. \quad (22.1)$$ + +Note that we adopt $c = 1$ throughout. By rescaling the radial coordinate, we can choose the curvature constant $k$ to take only the discrete values $+1, -1$, or $0$ corresponding to closed, open, or spatially flat geometries. + +### 22.1.3 The Friedmann equations of motion + +The cosmological equations of motion are derived from Einstein's equations + +$$R_{\mu\nu} - \frac{1}{2}g_{\mu\nu}R = 8\pi G_N T_{\mu\nu} + \Lambda g_{\mu\nu} \quad (22.6)$$ + +It is common to assume that the matter content of the Universe is a perfect fluid, for which + +$$T_{\mu\nu} = -\rho g_{\mu\nu} + (p+\rho) u_{\mu} u_{\nu}, \quad (22.7)$$ + +where $g_{\mu\nu}$ is the space-time metric described by Eq. (22.1), $p$ is the isotropic pressure, $\rho$ is the energy density and $u = (1, 0, 0, 0)$ is the velocity vector for the isotropic fluid in co-moving coordinates. With the perfect fluid source, Einstein's equations lead to the Friedmann equations + +$$H^2 = \left(\frac{\dot{R}}{R}\right)^2 = \frac{8\pi G_N \rho}{3} - \frac{k}{R^2} + \frac{\Lambda}{3}, \quad (22.8)$$ + +and + +$$\frac{\ddot{R}}{R} = \frac{\Lambda}{3} - \frac{4\pi G_N}{3} (\rho + 3p), \quad (22.9)$$ + +where $H(t)$ is the Hubble parameter and $\Lambda$ is the cosmological constant. The first of these is sometimes called the Friedmann equation. Energy conservation via $T^{;\mu}_{;\mu} = 0$, leads to a third useful equation + +$$\dot{\rho} = -3H(\rho+p). \quad (22.10)$$ + +Eq. (22.10) can also be simply derived as a consequence of the first law of thermodynamics. + +### 22.1.5 Standard Model solutions + +#### 22.1.5.1 Solutions for a general equation of state + +Let us first assume a general equation of state parameter for a single component, $w = p/\rho$ which is constant. In this case, Eq. (22.10) can be written as $\dot{\rho} = -3(1+w)\rho\frac{\dot{R}}{R}$ and is easily integrated to yield + +$$\rho \propto R^{-3(1+w)}. \quad (22.16)$$ + +Curvature domination occurs at rather late times (if a cosmological constant term does not dominate sooner). For $w \neq -1$, + +$$R(t) \propto t^{2/[3(1+w)]}. \quad (22.17)$$ +---PAGE_BREAK--- + +22.1.5.2 *A Radiation-dominated Universe* + +In the early hot and dense Universe, it is appropriate to assume an equation of state corresponding to a gas of radiation (or relativistic particles) for which $w = 1/3$. In this case, Eq. (22.16) becomes $\rho \propto R^{-4}$. Similarly, one can substitute $w = 1/3$ into Eq. (22.17) to obtain + +$$R(t) \propto t^{1/2}; \quad H = 1/2t. \qquad (22.18)$$ + +22.1.5.3 *A Matter-dominated Universe* + +Non-relativistic matter eventually dominates the energy density over radiation. A pressureless gas ($w=0$) leads to the expected dependence $\rho \propto R^{-3}$, and, if $k=0$, we obtain + +$$R(t) \propto t^{2/3}; \quad H = 2/3t. \qquad (22.19)$$ + +22.1.5.4 *A Universe dominated by vacuum energy* + +If there is a dominant source of vacuum energy, acting as a cosmological constant with equation of state $w = -1$. This leads to an exponential expansion of the Universe: + +$$R(t) \propto e^{\sqrt{A/3}t}. \qquad (22.20)$$ + +## 22.3 The Hot Thermal Universe + +### 22.3.2 Radiation content of the Early Universe + +At the very high temperatures associated with the early Universe, massive particles are pair produced, and are part of the thermal bath. If for a given particle species $i$ we have $T \gg m_i$, then we can neglect the mass and the thermodynamic quantities are easily computed. In general, we can approximate the energy density (at high temperatures) by including only those particles with $m_i \ll T$. In this case, we have + +$$\rho = \left( \sum_B g_B + \frac{7}{8} \sum_F g_F \right) \frac{\pi^2}{30} T^4 \equiv \frac{\pi^2}{30} N(T) T^4, \qquad (22.42)$$ + +where $g_{B(F)}$ is the number of degrees of freedom of each boson (fermion) and the sum runs over all boson and fermion states with $m \ll T$. Eq. (22.42) defines the effective number of degrees of freedom, $N(T)$, by taking into account new particle degrees of freedom as the temperature is raised. + +The value of $N(T)$ at any given temperature depends on the particle physics model. In the standard SU(3) × SU(2) × U(1) model, we can specify $N(T)$ up to temperatures of O(100) GeV. At higher temperatures, $N(T)$ will be model-dependent. + +In the radiation-dominated epoch, Eq. (22.10) can be integrated (neglecting the $T$-dependence of $N$) giving us a relationship between the age of the Universe and its temperature + +$$t = \left( \frac{90}{32\pi^3 G_N N(T)} \right)^{1/2} T^{-2}. \qquad (22.43)$$ + +Put into a more convenient form + +$$t T_{\text{MeV}}^2 = 2.4 [N(T)]^{-1/2}, \qquad (22.44)$$ + +where $t$ is measured in seconds and $T_{\text{MeV}}$ in units of MeV. +---PAGE_BREAK--- + +Revised August 2019 by L. Baudis (Zurich U.) and S. Profumo (UC Santa Cruz). + +## 27.6 Laboratory detection of dark matter + +Laboratory searches for DM particles can be roughly classified in direct detection experiments, axion searches, and searches at accelerators and colliders. + +### 27.6.1 Searches at Accelerators and Colliders + +Various searches for dark matter have been carried out by the CMS and ATLAS collaborations at the LHC in pp collisions [99–103]. In general, these assume that dark matter particles escape the detector without interacting leading to significant amounts of missing energy and momentum. + +### 27.6.2 Direct detection formalism + +Direct detection experiments mostly aim to observe elastic or inelastic scatters of Galactic DM particles with atomic nuclei, or with electrons in the detector material. Predicted event rates assume a certain mass and scattering cross section, as well as a set of astrophysical parameters: the local density $ρ_0$, the velocity distribution $f(v)$, and the escape velocity $v_{esc}$ (see Sec. 27.4). + +Figure 27.1 shows the best constraints for SI couplings in the cross section versus DM mass parameter space, above masses of 0.3 GeV. + +Figure 27.1: Upper limits on the SI DM-nucleon cross section as a function of DM mass. + +## 27.7 Astrophysical detection of dark matter + +DM as a microscopic constituent can have measurable, macroscopic effects on astrophysical systems. Indirect DM detection refers to the search for the annihilation or decay debris from DM particles, resulting in detectable species, including especially gamma rays, neutrinos, and antimatter particles. The production rate of such particles depends on (i) the annihilation (or decay) rate (ii) the density of pairs (respectively, of individual particles) in the region of interest, and (iii) the number of final-state particles produced in one annihilation (decay) event. +---PAGE_BREAK--- + +Revised August 2019 by D. Scott (U. of British Columbia) and G.F. Smoot (HKUST; Paris U.; UC Berkeley; LBNL). + +## 29.2 CMB Spectrum + +It is well known that the spectrum of the microwave background is very precisely that of blackbody radiation, whose temperature evolves with redshift as $T(z) = T_0(1+z)$ in an expanding universe. + +## 29.3 Description of CMB Anisotropies + +Observations show that the CMB contains temperature anisotropies at the $10^{-5}$ level and polarization anisotropies at the $10^{-6}$ (and lower) level, over a wide range of angular scales. These anisotropies are usually expressed using a spherical harmonic expansion of the CMB sky: + +$$T(\theta, \phi) = \sum_{\ell m} a_{\ell m} Y_{\ell m}(\theta, \phi) \quad (29.1)$$ + +(with the linear polarization pattern written in a similar way using the so-called spin-2 spherical harmonics). Increasing angular resolution requires that the expansion goes to higher multipoles. Because there are only very weak phase correlations seen in the CMB sky and since we notice no preferred direction, the vast majority of the cosmological information is contained in the temperature 2-point function, i.e., the variance as a function only of angular separation. Equivalently, the power per unit ln $\ell$ is $\ell \sum_m |a_{\ell m}|^2 / 4\pi$. + +### 29.3.1 The Monopole + +The CMB has a mean temperature of $T_\gamma = 2.7255 \pm 0.0006$ K (1$\sigma$) [23], which can be considered as the monopole component of CMB maps, $a_{00}$. Since all mapping experiments involve difference measurements, they are insensitive to this average level; monopole measurements can only be made with absolute temperature devices, such as the FIRAS instrument on the COBE satellite [24]. The measured $kT_\gamma$ is equivalent to 0.234 meV or $4.60 \times 10^{-10} m_e c^2$. A blackbody of the measured temperature has a number density $n_\gamma = (2\zeta(3)/\pi^2) T_\gamma^3 \simeq 411$ cm$^{-3}$, energy density $\rho_\gamma = (\pi^2/15) T_\gamma^4 \simeq 4.64 \times 10^{-34}$ g cm$^{-3} \simeq 0.260$ eV cm$^{-3}$, and a fraction of the critical density $\Omega_\gamma \simeq 5.38 \times 10^{-5}$. + +### 29.3.2 The Dipole + +The largest anisotropy is in the $\ell = 1$ (dipole) first spherical harmonic, with amplitude $3.3621 \pm 0.0010$ mK [13]. The dipole is interpreted to be the result of the Doppler boosting of the monopole caused by the Solar System motion relative to the nearly isotropic blackbody field, as broadly confirmed by measurements of the radial velocities of local galaxies (e.g., Ref. [25]). + +### 29.3.3 Higher-Order Multipoles + +The variations in the CMB temperature maps at higher multipoles ($\ell \ge 2$) are interpreted as being mostly the result of perturbations in the density of the early Universe, manifesting themselves at the epoch of the last scattering of the CMB photons. +---PAGE_BREAK--- + +Figure 29.1: Theoretical CMB anisotropy power spectra, using the best-fitting ΛCDM model from *Planck*, calculated using CAMB. The panel on the left shows the theoretical expectation for scalar perturbations, while the panel on the right is for tensor perturbations, with an amplitude set to $r = 0.01$ for illustration. + +Figure 29.2: CMB temperature anisotropy band-power estimates from the *Planck*, *WMAP*, *ACT*, and *SPT* experiments. The acoustic peaks and damping region are very clearly observed, with no need for a theoretical line to guide the eye; however, the curve plotted is the best-fit *Planck* ΛCDM model. +---PAGE_BREAK--- + +Revised October 2019 by J.J. Beatty (Ohio State U.), J. Matthews (Louisiana State U.) and S.P. Wakely (Chicago U.; Chicago U., Kavli Inst.). + +Cosmic ray spectra are expressed in terms of differential intensity $I$ with units [$m^{-2} s^{-1} sr^{-1} \mathcal{E}^{-1}$], where the unit for $\mathcal{E}$ is chosen from energy per nucleon, energy per nucleus, and magnetic rigidity depending on the application. + +## Primary Cosmic Rays + +The intensity of primary nucleons in the energy range from several GeV to somewhat beyond 100 TeV is given approximately by + +$$ I_N(E) \approx 1.8 \times 10^4 (E/1 \text{ GeV})^{-\alpha} \frac{\text{nucleons}}{\text{m}^2 \text{ s sr GeV}} $$ + +where $E$ is the energy-per-nucleon (including rest mass energy) and $\alpha = 2.7$ is the differential spectral index. About 74% of the primary nucleons are free protons and about 70% of the rest are bound in helium nuclei. At higher energies, the all-particle spectrum in terms of energy per nucleus is used. Above a few times $10^{15}$ eV the spectrum steepens at the ‘knee’, again steepens at a ‘second knee’ near $10^{17}$ eV, and flattens at the ‘ankle’ near $10^{18.5}$ eV. Above $5 \times 10^{19}$ eV the spectrum steepens rapidly due to the onset of inelastic interactions with the cosmic microwave background. + +## Secondary Cosmic Rays at Sea Level + +Cosmic rays at sea level are mostly muons from air showers induced by primary cosmic rays. The integral intensity of vertical muons above 1 GeV/c at sea level is $\approx 70 m^{-2} s^{-1} sr^{-1}$. The overall angular distribution of muons at the ground as a function of zenith angle $\theta$ is $\propto \cos^2 \theta$. This results in a muon rate of about $1 \text{ cm}^{-2} \text{ min}^{-1}$ for a thin horizontal detector. In addition to muons, there is a significant component of electrons and positrons with an integral vertical intensity very approximately 30, 6, and $0.2 m^{-2} s^{-1} sr^{-1}$ above 10, 100, and 1000 MeV respectively, with a complicated angular dependence. The integral intensity of vertical protons above 1 GeV/c at sea level is $\approx 0.9 m^{-2} sr^{-1}$, accompanied by neutrons at about $1/3$ of the proton flux. + +## Particles in the Atmosphere and Underground + +At altitudes $h$ between 1 and 6 km above sea level the vertical flux of particles with $E > 1$ GeV is dominated by muons with a flux of $\approx 100 m^{-2} s^{-1} sr^{-1} \times (h/\text{km})^{0.42}$. + +The underground charged particle flux is predominantly muons. For ice or water at depth $d > 1$ km the vertical flux is $\approx 2.2 \times 10^{-2} m^{-2} s^{-1} sr^{-1} \times (d/\text{km})^{-4.5}$. Below depths of $\approx 20$ km w.e., most remaining muons are produced by neutrino interactions. The upward-going vertical intensity of muons above 2 GeV is $\approx 2 \times 10^{-9} m^{-2} s^{-1} sr^{-1}$. The horizontal intensity below 20 km w.e. is about twice the upward-going vertical intensity. + +For details and references see the full Review of Particle Physics. +---PAGE_BREAK--- + +Revised August 2019 by M.J. Syphers (Northern Illinois U.; FNAL) and +F. Zimmermann (CERN). + +The number of events, $N_{exp}$, is the product of the cross section of interest, $\sigma_{exp}$, and the time integral over the instantaneous luminosity, $\mathcal{L}$: + +$$N_{exp} = \sigma_{exp} \times \int \mathcal{L}(t)dt. \qquad (31.1)$$ + +Today's colliders all employ bunched beams. If two bunches containing $n_1$ and $n_2$ particles collide head-on with frequency $f_{coll}$, a basic expression for the luminosity is + +$$\mathcal{L} = f_{\text{coll}} \frac{n_1 n_2}{4\pi \sigma_x^* \sigma_y^*} \mathcal{F} \qquad (31.2)$$ + +where $\sigma_x^*$ and $\sigma_y^*$ characterize the rms transverse beam sizes in the horizontal (bend) and vertical directions at the interaction point, and $\mathcal{F}$ is a factor of order 1, that takes into account geometric effects such as a crossing angle and finite bunch length, and dynamic effects, such as the mutual focusing of the two beam during the collision. + +For a beam with a Gaussian distribution in $x, x'$, the area containing one standard deviation $\sigma_x$, divided by $\pi$, is used as the definition of emittances: + +$$\epsilon_x \equiv \frac{\sigma_x^2}{\beta_x}, \qquad (31.11)$$ + +with a corresponding expression in the other transverse direction, $y$. + +Eq. 31.2 can be recast in terms of emittances and amplitude functions as + +$$\mathcal{L} = f \frac{n_1 n_2}{4\pi \sqrt{\varepsilon_x \beta_x^* \varepsilon_y \beta_y^*}} \mathcal{F}. \qquad (31.12)$$ + +Here, $\beta^*$ is the value of the amplitude function at the interaction point. + +A bunch in beam 1 presents a (nonlinear) lens to a particle in beam 2 resulting in changes to the particle's transverse tune with a range characterized by the beam-beam parameter + +$$\xi_{y,2} = \frac{m_e r_e q_1 q_2 n_1 \beta_{y,2}^*}{2\pi m_{A,2} \gamma_2 \sigma_{y,1}^* (\sigma_{x,1}^* + \sigma_{y,1}^*)} \qquad (31.13)$$ + +where $r_e$ denotes the classical electron radius ($r_e \approx 2.8 \times 10^{-15}$ m), $m_e$ the electron mass, $q_1$ ($q_2$) the particle charge of beam 1 (2) in units of the elementary charge, and $m_{A,2}$ the mass of beam-2 particles. + +Eq. 31.2 for linear colliders can be written as: + +$$\mathcal{L} \approx \frac{137}{8\pi r_e} \frac{P_{\text{wall}}}{E_{cm}} \frac{\eta}{\sigma_y^*} N_\gamma H_D . \qquad (31.14)$$ + +Here, $P_{wall}$ is the total wall-plug power of the collider, $\eta = P_b/P_{wall}$ the efficiency of converting wall-plug power into beam power $P_b = f_{coll}nE_{cm}$, $E_{cm}$ the cms energy, $n (= n_1 = n_2)$ the bunch population, and $\sigma_y^*$ the vertical rms beam size at the collision point. In formulating Eq. 31.14 the number of beamstrahlung photons emitted per $e^{\pm}$, was approximated as $N_\gamma \approx 2\alpha r_e n / \sigma_x^*$, where $\alpha$ denotes the fine-structure constant. +---PAGE_BREAK--- + +**Table:** Tentative parameters of selected future high-energy colliders. Parameters associated with different beam energy scenarios are comma-separated. Quantities are, where appropriate, r.m.s.; *H* and *V* indicate horizontal and vertical directions. See full Review for complete tables. +Parameters for other proposed high-energy colliders, including a muon collider, can also be found in the full Review. + +
FCC-eeCEPCILCLHeCHE-LHCFCC-hh
Speciese+e-e+e-e+e-eppppp
Beam energy (TeV)0.046, 0.120, 0.1830.046, 0.1200.125, 0.250.06(e), 7 (p)13.550
Circumference / Length (km)97.7510020.5, 319(e), 26.7 (p)26.797.75
Interaction regions22112 (4)4
Luminosity (1034 /cm2/s)230, 8.5, 1.632, 31.4, 1.80.8165-30
Time between collisions (μs)0.015, 0.75, 8.50.025, 0.680.550.0250.0250.025
Bunch length (rms, mm)12.1, 5.3, 3.88.5, 3.30.30.06 (e), 75.5(p)8080
IP beam size (μm)H: 6.3, 14, 38
V: 0.03, 0.04, 0.07
H: 5.9, 21,
V: 0.04, 0.07
H: 0.52, 0.47,
V: 0.008, 0.006
4.3 (round)8.86.6-3.5 (init.)
H: 15, 30, 100
V: 0.08, 0.1, 0.16
H: 20, 36
V: 0.1, 0.15
H: 1.3, 2.2
V: 0.041, 0.048
RF frequency (MHz)400, 400, 8006501300
Particles per bunch (1010)17, 15, 278, 152800(e), 400(p)400400
Average beam current (mA)1390, 29, 5.419.26 (in train)0.23(e), 22(p)2210
SR power loss (MW)10064n/a30(e), 0.01(p)0.12.4
+---PAGE_BREAK--- + +**Table:** Updated in March 2020 with numbers received from representatives of the colliders (contact E. Pianori, LBNL). The table shows the parameter values achieved by December 2019. Quantities are, where appropriate, r.m.s.; unless noted otherwise, energies refer to beam energy: *H* and *V* indicate horizontal and vertical directions; only selected colliders operating in 2018-2019 are included. See full Review for complete tables. + +
VEPP-2000
(Novosibirsk)
VEPP-4M
(Novosibirsk)
BEPC-II
(China)
SuperKEKB
(KEK)
LHC
(CERN)
Physics start date20101994200820182009
Particles collidede+e-e+e-e+e-e+e-pp
Maximum beam energy (GeV)1.061.89 (2.35 max)e-: 7, e+: 46500
Luminosity (1030 cm-2s-1)502010001.88 × 1042.1 × 104
Time between collisions (ns)4060086.524.95
Energy spread (units 10-3)0.7110.52e-/e+: 0.64/0.810.105
Bunch length (cm)45≈ 1.2e-/e+: 0.5/0.68
Beam radius (10-6 m)125 (round)H:1000
V:30
H:347
V:4.5
e-: 16.6 (H), 0.25 (V)
e+: 12.6 (H), 0.25 (V)
8.5
Free space at interaction point (m)±0.5±2±0.63e-: +1.20/-1.28, e+: +0.78/-0.73
(+300/-500) mrad cone
38
β*, amplitude function at interaction point (m)H:0.05 - 0.11
V:0.05 - 0.11
H:0.75
V:0.05
H:1.0
V:0.0129
e-: 0.060 (H), 1 × 10-3 (V)
e+: 0.080 (H), 1 × 10-3 (V)
0.3 → 0.29
Interaction regions2114 total, 2 high Ω
+---PAGE_BREAK--- + +Revised August 2019 by D.E. Groom (LBNL) and S.R. Klein (NSD LBNL). + +This review covers the interactions of photons and electrically charged particles in matter, concentrating on energies of interest for high-energy physics and astrophysics and processes of interest for particle detectors. + +**Table 34.1:** Summary of variables used in this section. The kinematic variables $\beta$ and $\gamma$ have their usual relativistic meanings. + +
Symb.DefinitionValue or (usual) units
$m_e c^2$electron mass × $c^2$0.510 998 950 00(15) MeV
$r_e$classical electron radius
$e^2/4\pi\epsilon_0 m_e c^2$
2.817 940 326(13) fm
$\alpha$fine structure constant
$e^2/4\pi\epsilon_0\hbar c$
1/137.035 999 084(21)
$N_A$Avogadro's number6.022 140 76 × 1023 mol-1
$\rho$densityg cm-3
$x$mass per unit areag cm-2
$M$incident particle massMeV/$c^2$
$E$incident part. energy $\gamma M c^2$MeV
$T$kinetic energy, $(\gamma - 1) M c^2$MeV
$W$energy transfer to an electron
in a single collision
MeV
$k$bremsstrahlung photon energyMeV
$z$charge number of incident particle
$Z$atomic number of absorber
$A$atomic mass of absorberg mol-1
$K$$4\pi N_A r_e^2 m_e c^2$
(Coefficient for $dE/dx$)
0.307 075 MeV mol-1 cm2
$I$mean excitation energyeV (Nota bene!)
$\delta(\beta\gamma)$density effect correction to ionization energy loss
$\hbar\omega_p$plasma energy
$\sqrt{4\pi N_e r_e^3 m_e c^2/\alpha}$
$\sqrt{\rho \langle Z/A \rangle} \times 28.816$ eV
$\rho \text{ in g cm}^{-3}$
$N_e$electron density(units of $r_e$)-3
$w_j$weight fraction of the jth element in a compound or mixt.
$n_j$α number of jth kind of atoms in a compound or mixture
$X_0$radiation lengthg cm-2
$E_c$critical energy for electronsMeV
$E_{\mu c}$critical energy for muonsGeV
$E_s$scale energy $\sqrt{4\pi/\alpha} m_e c^2$21.2052 MeV
$R_M$Molière radiusg cm-2
+ +### 34.2.2 Maximum energy transfer in a single collision + +For a particle with mass *M*, + +$$W_{\max} = \frac{2m_e c^2 \beta^2 \gamma^2}{1 + 2\gamma m_e / M + (m_e / M)^2}. \quad (34.4)$$ +---PAGE_BREAK--- + +Figure 34.1: Mass stopping power ($\langle -dE/dx \rangle$) for positive muons in copper as a function of $\beta\gamma = p/Mc$ over nine orders of magnitude in momentum (12 orders of magnitude in kinetic energy). Vertical bands indicate boundaries between different approximations discussed in the text. + +### 34.2.3 Stopping power at intermediate energies + +The mean rate of energy loss by moderately relativistic charged heavy particles is well-described by the “Bethe equation,” + +$$ \left\langle -\frac{dE}{dx} \right\rangle = K z^2 \frac{Z}{A} \frac{1}{\beta^2} \left[ \frac{1}{2} \ln \frac{2m_e c^2 \beta^2 \gamma^2 W_{\text{max}}}{I^2} - \beta^2 - \frac{\delta(\beta\gamma)}{2} \right] . \quad (34.5) $$ + +This is the mass stopping power; with the symbol definitions and values given in Table 34.1, the units are MeV g⁻¹cm². As can be seen from Fig. 34.2, $\langle -dE/dx \rangle$ defined in this way is about the same for most materials, decreasing slowly with Z. The linear stopping power, in MeV/cm, is $\langle -dE/dx \rangle \rho$, where $\rho$ is the density in g/cm³. + +As the particle energy increases, its electric field flattens and extends, so that the distant-collision contribution to Eq. (34.5) increases as ln $\beta\gamma$. However, real media become polarized, limiting the field extension and effectively truncating this part of the logarithmic rise. Parameterization of the density effect term $\delta(\beta\gamma)$ in Eq. (34.5) is discussed in the full Review. + +Few concepts in high-energy physics are as misused as $\langle dE/dx \rangle$. The mean is weighted by very rare events with large single-collision energy deposits. Even with samples of hundreds of events a dependable value for the mean energy loss cannot be obtained. Far better and more easily measured is the most probable energy loss, discussed below. + +Although it must be used with cautions and caveats, $\langle dE/dx \rangle$ as described in Eq. (34.5) still forms the basis of much of our understanding of energy loss by charged particles. Extensive tables are available at [pdg.lbl.gov/AtomicNuclearProperties/](https://pdg.lbl.gov/AtomicNuclearProperties/). + +Eq. (34.5) may be integrated to find the total (or partial) “continuous slowing-down approximation” (CSDA) range R. Since $dE/dx$ depends (nearly) only on $\beta$, $R/M$ is a function of $E/M$ or $pc/M$. +---PAGE_BREAK--- + +### 34.2.9 Fluctuations in energy loss + +For detectors of moderate thickness $x$ (e.g. scintillators or LAr cells), the energy loss probability distribution $f(\Delta; \beta\gamma, x)$ is adequately described by the highly-skewed Landau (or Landau-Vavilov) distribution [29] [28]. The most probable energy loss + +$$ \Delta_p = \xi \left[ \ln \frac{2mc^2\beta^2\gamma^2}{I} + \ln \frac{\xi}{I} + j - \beta^2 - \delta(\beta\gamma) \right], \quad (34.12) $$ + +where $\xi = (K/2) \langle Z/A \rangle z^2(x/\beta^2)$ MeV for a detector with a thickness $x$ in g cm$^{-2}$, and $j = 0.200$ [30]. While $dE/dx$ is independent of thickness, $\Delta_p/x$ scales as $a \ln x+b$. This most probable energy loss reaches a (Fermi) plateau rather than continuing $\langle dE/dx \rangle$'s lograthmic rise with increasing energy. + +## 34.4 Photon and electron interactions in matter + +At low energies electrons and positrons primarily lose energy by ionization, although other processes (Møller scattering, Bhabha scattering, $e^+$ annihilation) contribute. While ionization loss rates rise logarithmically with energy, bremsstrahlung losses rise nearly linearly (fractional loss is nearly independent of energy), and dominates above the critical energy (Sec. 34.4.4 below), a few tens of MeV in most materials. + +### 34.4.1 Collision energy losses by $e^\pm$ + +Stopping power differs somewhat for electrons and positrons, and both differ from stopping power for heavy particles because of the kinematics, spin, charge, and the identity of the incident electron with the electrons that it ionizes. Complete discussions and tables can be found in Refs. [10, 13], and [33] in the full Review. + +### 34.4.2 Radiation length + +High-energy electrons predominantly lose energy in matter by bremsstrahlung, and high-energy photons by $e^+e^-$ pair production. The characteristic amount of matter traversed for these related interactions is called the radiation length $X_0$, usually measured in g cm$^{-2}$. $X_0$ has been calculated and tabulated by Y.S. Tsai [42]: + +$$ \frac{1}{X_0} = 4\alpha r_e^2 \frac{N_A}{A} \left\{ Z^2 [L_{\text{rad}} - f(Z)] + Z L'_{\text{rad}} \right\}. \quad (34.25) $$ + +For $A = 1$ g mol$^{-1}$, $4\alpha r_e^2 N_A/A = (716.408 \text{ g cm}^{-2})^{-1}$. $L_{\text{rad}}$ and $L'_{\text{rad}}$ are tabulated in the full Review, where a 4-place approximation for $f(z)$ is also given. + +### 34.4.3 Bremsstrahlung energy loss by $e^\pm$ + +At very high energies and except at the high-energy tip of the bremsstrahlung spectrum, the cross section can be approximated in the “complete screening case” as [42] + +$$ d\sigma/dk = (1/k)4\alpha r_e^2 \left\{ \left( \frac{4}{3} - \frac{4}{3}y + y^2 \right) [Z^2(L_{\text{rad}} - f(Z)) + Z L'_{\text{rad}}] + \frac{1}{9}(1-y)(Z^2+Z) \right\}, \quad (34.28) $$ + +where $y = k/E$ is the fraction of the electron's energy transferred to the radiated photon. At small $y$ (the “infrared limit”) the term on the second line ranges from 1.7% (low $Z$) to 2.5% (high $Z$) of the total. If it +---PAGE_BREAK--- + +is ignored and the first line simplified with the definition of $X_0$ given in Eq. (34.25), we have + +$$ \frac{d\sigma}{dk} = \frac{A}{X_0 N_A k} \left( \frac{4}{3} - \frac{4}{3}y + y^2 \right). \qquad (34.29) $$ + +### 34.4.4 Critical energy + +An electron loses energy by bremsstrahlung at a rate nearly proportional to its energy, while the ionization loss rate varies only logarithmically with the electron energy. The *critical energy* $E_c$ is sometimes defined as the energy at which the two loss rates are equal [49]. Among alternate definitions is that of Rossi [2], who defines the critical energy as the energy at which the ionization loss per radiation length is equal to the electron energy. Equivalently, it is the same as the first definition with the approximation $|dE/dx|_{brems} \approx E/X_0$. This form has been found to describe transverse electromagnetic shower development more accurately. + +Values of $E_c$ for electrons can be reasonably well described by $(610 \text{ MeV}) / (Z + 1.24)$ for solids and $(710 \text{ MeV}) / (Z + 0.92)$ for gases. $E_c$ for both electrons and positrons in more than 350 materials can be found at [pdg.lbl.gov/AtomicNuclearProperties](http://pdg.lbl.gov/AtomicNuclearProperties). + +### 34.4.5 Energy loss by photons + +At low energies the photoelectric effect dominates, although Compton scattering, Rayleigh scattering, and photonuclear absorption also contribute. The photoelectric cross section is characterized by discontinuities (absorption edges) as thresholds for photoionization of various atomic levels are reached. Pair production dominates at high energies, but is supressed at ultrahigh energies because of quantum mechanical interference between amplitudes from different scattering centers (LPM effect). + +At still higher photon and electron energies, where the bremsstrahlung and pair production cross-sections are heavily suppressed by the LPM effect, photonuclear and electronuclear interactions predominate over electromagnetic interactions. At photon energies above about $10^{20}$ eV, for example, photons usually interact hadronically. + +Figure 34.20: An EGS4 simulation of a 30 GeV electron-induced cascade in iron. The histogram shows fractional energy deposition per radiation length, and the curve is a gamma-function fit to the distribution. +---PAGE_BREAK--- + +## 34.5 Electromagnetic cascades + +When a high-energy electron or photon is incident on a thick absorber, it initiates an electromagnetic cascade as pair production and bremsstrahlung generate more electrons and photons with lower energies. + +The longitudinal development is governed by the high-energy part of the cascade, and therefore scales as the radiation length in the material. Electron energies eventually fall below the critical energy, and then dissipate their energy by ionization and excitation rather than by the generation of more shower particles. In describing shower behavior, it is convenient to introduce the scale variables + +$$t = x/X_0, \quad y = E/E_c, \qquad (34.34)$$ + +so that distance is measured in units of radiation length and energy in units of critical energy. + +The mean longitudinal profile of the energy deposition in an electromagnetic cascade is reasonably well described by a gamma distribution [61]: + +$$\frac{dE}{dt} = E_0 b \frac{(bt)^{a-1}e^{-bt}}{\Gamma(a)} \qquad (34.35)$$ + +at energies from 1 GeV to 100 GeV. + +## 34.6 Muon energy loss at high energy + +At sufficiently high energies, radiative processes become more important than ionization for all charged particles. These contributions increase almost linearly with energy. It is convenient to write the average rate of muon energy loss as [74] + +$$-dE/dx = a(E) + b(E) E. \qquad (34.39)$$ + +Here $a(E)$ is the ionization energy loss given by Eq. (34.5), and $b(E)$ is the sum of $e^+e^-$ pair production, bremsstrahlung, and photonuclear contributions. These are subject to large fluctuations, particularly at higher energies. + +To the approximation that the slowly-varying functions $a(E)$ and $b(E)$ are constant, the mean range $x_0$ of a muon with initial energy $E_0$ is given by + +$$x_0 \approx (1/b) \ln(1 + E_0/E_{\mu c}), \qquad (34.40)$$ + +where $E_{\mu c} = a/b$. + +The "muon critical energy" $E_{\mu c}$ can be defined as the energy at which radiative and ionization losses are equal, and can be found by solving $E_{\mu c} = a(E_{\mu c})/b(E_{\mu c})$. This definition is different from the Rossi definition we used for electrons. It decreases with Z, and is several hundred GeV for iron. It is given for the elements and many other materials in pdg.lbl.gov/AtomicNuclearProperties. + +## 34.7 Cherenkov and transition radiation + +A charged particle radiates if its velocity is greater than the local phase velocity of light (Cherenkov radiation) or if it crosses suddenly from one medium to another with different optical properties (transition radiation). Neither process is important for energy loss, but both are used in high-energy and cosmic-ray physics detectors. +---PAGE_BREAK--- + +### 34.7.1 Optical Cherenkov radiation + +The angle $\theta_c$ of Cherenkov radiation, relative to the particle's direction, for a particle with velocity $\beta c$ in a medium with index of refraction $n$ is + +$$ +\begin{aligned} +\cos \theta_c &= (1/n\beta) \\ +\text{or } \tan \theta_c &= \sqrt{\beta^2 n^2 - 1} \\ +&\approx \sqrt{2(1 - 1/n\beta)} && \text{for small } \theta_c, \text{ e.g. in gases.} \quad (34.41) +\end{aligned} + $$ + +The threshold velocity $\beta t$ is $1/n$. Values of $n-1$ for various commonly used gases are given as a function of pressure and wavelength in Ref. [80]. Data for other commonly used materials are given in [81]. + +The number of photons produced per unit path length of a particle with charge ze and per unit energy interval of the photons is + +$$ +\begin{aligned} +\frac{d^2 N}{dE dx} &= \frac{\alpha z^2}{\hbar c} \sin^2 \theta_c = \frac{\alpha^2 z^2}{r_e m_e c^2} \left(1 - \frac{1}{\beta^2 n^2(E)}\right) \\ +&\approx 370 \sin^2 \theta_c(E) \text{ eV}^{-1}\text{cm}^{-1} && (z=1), \quad (34.43) +\end{aligned} + $$ + +or, equivalently, + +$$ \frac{d^2 N}{dx d\lambda} = \frac{2\pi\alpha z^2}{\lambda^2} \left(1 - \frac{1}{\beta^2 n^2(\lambda)}\right). \quad (34.44) $$ + +### 34.7.2 Coherent radio Cherenkov radiation + +Coherent Cherenkov radiation is produced by many charged particles with a non-zero net charge moving through matter on an approximately common “wavefront”—for example, the electrons and positrons in a high-energy electromagnetic cascade. Near the end of a shower, when typical particle energies are below $E_c$ (but still relativistic), a charge imbalance develops. Photons can Compton-scatter atomic electrons, and positrons can annihilate with atomic electrons to contribute even more photons which can in turn Compton scatter. These processes result in a roughly 20% excess of electrons over positrons in a shower. The net negative charge leads to coherent radio Cherenkov emission. The phenomenon is called the Askaryan effect [86]. The signals can be visible above backgrounds for shower energies as low as $10^{17}$ eV; see Sec. 36.3.3.3 for more details. + +### 34.7.3 Transition radiation + +The energy radiated when a particle with charge ze crosses the boundary between vacuum and a medium with plasma frequency $\omega_p$ is + +$$ I = \alpha z^2 \gamma \hbar \omega_p / 3, \quad (34.45) $$ + +The plasma energy $\hbar\omega_p$ is defined in Table 34.1. + +For styrene and similar materials, $\hbar\omega_p \approx 20$ eV; for air it is 0.7 eV. The number spectrum $dN_\gamma/d(\hbar\omega)$ diverges logarithmically at low energies and decreases rapidly for $\hbar\omega/\gamma\hbar\omega_p > 1$. Inevitable absorption in a practical detector removes the divergence. About half the energy is emitted in the range $0.1 \le \hbar\omega/\gamma\hbar\omega_p \le 1$. The $\gamma$ dependence of the emitted energy thus comes from the hardening of the spectrum rather than from an increased quantum yield. For a particle with $\gamma = 10^3$, the radiated photons are in the soft x-ray range 2 to 40 keV. +---PAGE_BREAK--- + +Figure 34.27: X-ray photon energy spectra for a radiator consisting of 200 25 µm thick foils of Mylar with 1.5 mm spacing in air (solid lines) and for a single surface (dashed line). + +The number of photons with energy $\hbar\omega > \hbar\omega_0$ is given by the answer to problem 13.15 in [35], + +$$N_{\gamma}(\hbar\omega > \hbar\omega_0) = \frac{\alpha z^2}{\pi} \left[ \ln\left(\frac{\gamma\hbar\omega_p}{\hbar\omega_0} - 1\right)^2 + \frac{\pi^2}{12} \right], \quad (34.47)$$ + +within corrections of order $(\hbar\omega_0/\gamma\hbar\omega_p)^2$. The number of photons above a fixed energy $\hbar\omega_0 \ll \gamma\hbar\omega_p$ thus grows as $(\ln \gamma)^2$, but the number above a fixed fraction of $\gamma\hbar\omega_p$ (as in the example above) is constant. For example, for $\hbar\omega > \gamma\hbar\omega_p/10$, $N_\gamma = 2.519 \alpha z^2 / \pi = 0.0059 \times z^2$. + +The particle stays “in phase” with the x ray over a distance called the formation length, $d(\omega) = (2c/\omega)(1/\gamma^2 + \theta^2 + \omega_p^2/\omega^2)^{-1}$. Most of the radiation is produced in this distance. Here $\theta$ is the x-ray emission angle, characteristically $1/\gamma$. For $\theta = 1/\gamma$ the formation length has a maximum at $d(\gamma\omega_p/\sqrt{2}) = \gamma c/\sqrt{2}\omega_p$. In practical situations it is tens of µm. + +Since the useful x-ray yield from a single interface is low, in practical detectors it is enhanced by using a stack of N foil radiators—foils L thick, where L is typically several formation lengths—separated by gas-filled gaps. The amplitudes at successive interfaces interfere to cause oscillations about the single-interface spectrum. At increasing frequencies above the position of the last interference maximum ($L/d(\omega) = \pi/2$), the formation zones, which have opposite phase, overlap more and more and the spectrum saturates, $dI/d\omega$ approaching zero as $L/d(\omega) \to 0$. This is illustrated in Fig. 34.27 for a realistic detector configuration. + +Although one might expect the intensity of coherent radiation from the stack of foils to be proportional to $N^2$, the angular dependence of the formation length conspires to make the intensity $\propto N$. +---PAGE_BREAK--- + +# 35. Particle Detectors at Accelerators + +Revised 2019. See the various sections for authors. + +## 35.1 Introduction + +This review summarizes the detector technologies employed at accelerator particle physics experiments. Several of these detectors are also used in a non-accelerator context and examples of such applications will be provided. The detector techniques which are specific to non-accelerator particle physics experiments are the subject of Chap. 36. More detailed discussions of detectors and their underlying physics can be found in books by Ferbel [1], Kleinknecht [2], Knoll [3], Green [4], Leroy & Rancoita [5], and Gruppen [6]. + +In Table 35.1 are given typical resolutions and deadtimes of common charged particle detectors. The quoted numbers are usually based on typical devices, and should be regarded only as rough approximations for new designs. The spatial resolution refers to the intrinsic detector resolution, i.e. without multiple scattering. We note that analog detector readout can provide better spatial resolution than digital readout by measuring the deposited charge in neighboring channels. Quoted ranges attempt to be representative of both possibilities. The time resolution is defined by how accurately the time at which a particle crossed the detector can be determined. The deadtime is the minimum separation in time between two resolved hits on the same channel. Typical performance of calorimetry and particle identification are provided in the relevant sections below. Further discussion and all references may be found in the full Review. + +Table 35.1: Typical resolutions and deadtimes of common charged particle detectors. Revised November 2011. + +
Detector TypeIntrinsic Spatial Resolution (rms)Time ResolutionDead Time
Resistive plate chamber≤ 10 mm1 ns (50 ps) *
Streamer chamber300 µm †2 µs100 ms
Liquid argon drift [7]~175–450 µm~200 ns~2 µs
Scintillation tracker~100 µm100 ps/n ‡10 ns
Bubble chamber10–150 µm1 ms50 ms §
Proportional chamber50–100 µm ¶2 ns20–200 ns
Drift chamber50–100 µm2 ns ‖20–100 ns
Micro-pattern gas detectors30–40 µm< 10 ns10–100 ns
Silicon strippitch/(3 to 7) **few ns ††≤50 ns ††
Silicon pixel≤10 µmfew ns ††≤ 50 ns ††
Emulsion1 µm
+ +* For multiple-gap RPCs. + +† 300 µm is for 1 mm pitch (wirespacing/√2). + +‡ n = index of refraction. + +§ Multiple pulsing time. + +¶ Delay line cathode readout can give ±150 µm parallel to anode wire. + +‖ For two chambers. + +**The highest resolution ("7") is obtained for small-pitch detectors (≤ 25 µm) + +††Limited by the readout electronics [8] +---PAGE_BREAK--- + +# 37. Radioactivity and Radiation Protection + +Revised August 2019 by S. Roesler and M. Silari (CERN). + +## 37.1. Definitions + +The International Commission on Radiation Units and Measurements (ICRU) recommends the use of SI units. Therefore we list SI units first, followed by cgs (or other common) units in parentheses, where they differ. + +* **Activity** (unit: Becquerel): + +$1 \text{ Bq} = 1 \text{ disintegration per second} (= 27 \text{ pCi}).$ + +* **Absorbed dose** (unit: gray): The absorbed dose is the energy imparted by ionizing radiation in a volume element of a specified material divided by the mass of this volume element. + +$$ +\begin{aligned} +1 \text{ Gy} &= 1 \text{ J/kg } (\equiv 10^4 \text{ erg/g} = 100 \text{ rad}) \\ +&= 6.24 \times 10^{12} \text{ MeV/kg deposited energy}. +\end{aligned} + $$ + +* **Kerma** (unit: gray): Kerma is the sum of the initial kinetic energies of all charged particles liberated by indirectly ionizing particles in a volume element of the specified material divided by the mass of this volume element. + +* **Exposure** (unit: C/kg of air [= 3880 Roentgen†]): The exposure is a measure of photon fluence at a certain point in space integrated over time, in terms of ion charge of either sign produced by secondary electrons in a small volume of air about the point. Implicit in the definition is the assumption that the small test volume is embedded in a sufficiently large uniformly irradiated volume that the number of secondary electrons entering the volume equals the number leaving (so-called charged particle equilibrium). + +Table 37.1: Radiation weighting factors, $w_R$. + +
Radiation typewR
Photons1
Electrons and muons1
Neutrons, En < 1 MeV2.5 + 18.2 × exp[−(ln En)2/6]
1 MeV ≤ En ≤ 50 MeV5.0 + 17.0 × exp[−(ln(2En))2/6]
En > 50 MeV2.5 + 3.25 × exp[−(ln(0.04En))2/6]
Protons and charged pions2
Alpha particles, fission fragments, heavy ions20
+ +* **Equivalent dose** (unit: Sievert [= 100 rem (roentgen equivalent in man)]): The equivalent dose $H_T$ in an organ or tissue T is equal to the sum of the absorbed doses $D_{T,R}$ in the organ or tissue caused by different radiation types R weighted with so-called radiation weighting factors $w_R$: + +$$ H_T = \sum_R w_R \times D_{T,R}. \quad (37.2) $$ + +† This unit is somewhat historical, but appears on some measuring instruments. One R is the amount of radiation required to liberate positive and negative charges of one electrostatic unit of charge in 1 cm³ of air at standard temperature and pressure (STP) +---PAGE_BREAK--- + +It expresses long-term risks (primarily cancer and leukemia) from low-level chronic exposure. The values for $w_R$ recommended recently by ICRP [2] are given in Table 37.1. + +* **Effective dose** (unit: Sievert): The sum of the equivalent doses, weighted by the tissue weighting factors $w_T$ ($\sum_T w_T = 1$) of several organs and tissues T of the body that are considered to be most sensitive [2], is called “effective dose” E: + +$$E = \sum_{T} w_{T} \times H_{T}. \qquad (37.3)$$ + +## 37.2. Radiation levels [4] + +* **Natural annual background**, all sources: Most world areas, whole-body equivalent dose rate $\approx (1.0–13)$ mSv (0.1–1.3 rem). Can range up to 50 mSv (5 rem) in certain areas. U.S. average $\approx 3.6$ mSv, including $\approx 2$ mSv ($\approx 200$ mrem) from inhaled natural radioactivity, mostly radon and radon daughters. (Average is for a typical house and varies by more than an order of magnitude. It can be more than two orders of magnitude higher in poorly ventilated mines. 0.1–0.2 mSv in open areas.) + +* **Cosmic ray background** (sea level, mostly muons): $\sim 1 \text{ min}^{-1} \text{ cm}^{-2} \text{ sr}^{-1}$. For more accurate estimates and details, see the Cosmic Rays section (Sec. 30 of this Review). + +* **Fluence** (per cm²) to deposit one Gy, assuming uniform irradiation: $\approx (\text{charged particles}) 6.24 \times 10^9 / (dE/dx)$, where $dE/dx$ (MeV g⁻¹ cm²), the energy loss per unit length, may be obtained from Figs. 34.2 and 34.4 in Sec. 34 of the Review, and pdg.lbl.gov/AtomicNuclear Properties. + +$\approx 3.5 \times 10^9 \text{ cm}^{-2} \text{ minimum-ionizing singly-charged particles in carbon.}$ + +$\approx (\text{photons}) 6.24 \times 10^9 / [Ef/\ell]$, for photons of energy E (MeV), attenuation length $\ell$ (g cm⁻²), and fraction $f \lesssim 1$ expressing the fraction of the photon's energy deposited in a small volume of thickness $\ll \ell$ but large enough to contain the secondary electrons. + +$\approx 2 \times 10^{11} \text{ photons cm}^{-2} \text{ for 1 MeV photons on carbon } (f \approx 1/2).$ + +## 37.3. Health effects of ionizing radiation + +* **Recommended limits of effective dose to radiation workers (whole-body dose):*** + + + +EU/Switzerland: $20 \text{ mSv yr}^{-1}$ + +U.S.: $50 \text{ mSv yr}^{-1} (5 \text{ rem yr}^{-1})^\dagger$ + +* **Lethal dose:** The whole-body dose from penetrating ionizing radiation resulting in 50% mortality in 30 days (assuming no medical treatment) is 2.5–4.5 Gy (250–450 rad), as measured internally on body longitudinal center line. Surface dose varies due to variable body attenuation and may be a strong function of energy. + +* **Cancer induction by low LET radiation:** The cancer induction probability is about 5% per Sv on average for the entire population [2]. + +Footnotes: + +* The ICRP recommendation [2] is $20 \text{ mSv yr}^{-1}$ averaged over 5 years, with the dose in any one year $\le 50 \text{ mSv}$. + +† Many laboratories in the U.S. and elsewhere set lower limits. + +See full *Review* for references and further details. +---PAGE_BREAK--- + +38. Commonly Used Radioactive Sources + +Table 38.1. Revised September 2019 by D.E. Groom (LBNL). + +
NuclideHalf-lifeType of decayParticlePhoton
Energy (MeV)Emission prob.Energy (MeV)Emission prob.
22Na2.603 yβ+, EC0.54690%0.511
1.275
Annih.
100%
51Cr27.70 dEC0.320 10%
V K x rays 100%
Neutrino calibration source
54Mn0.855 yEC0.835 100%
Cr K x rays 26%
55Fe2.747 yECMn K x rays:
0.00590 24.4%
0.00649 2.86%
57Co271.8 dEC0.014 9%
0.122 86%
0.136 11%
Fe K x rays 58%
60Co5.271 yβ-0.31799.9%1.173 99.9%
1.333 99.9%
68Ge271.0 dECGa K x rays 42%
68Ga67.8 mβ+, EC1.89990%0.511
1.077
90Sr28.8 yβ-0.546100%
90Y2.67 dβ-2.279100%
106Ru371.5 dβ-0.039100%
106Rh30.1 sβ-3.54679%0.512 21%
0.622 10%
109Cd1.265 yEC0.063 e-0.088 3.7%
Ag K x rays 100%
0.084 e-Ag K x rays 100%
113Sn115.1 dEC0.364 e-0.392 65%
In K x rays 97%
0.388 e-In K x rays 97%
137Cs30.0 yβ-0.514
1.176
0.662 85%
+---PAGE_BREAK--- + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
13356Ba10.55 yEC0.045 e-
0.075 e-
50%
6%
0.081
0.356
Cs K x rays 121%
33%
62%
Many γ's
15263Eu13.537 yEC
β-
72.1%
27.9%
0.1218-1.408 MeV
20783Bi32.9 yEC0.481 e-2%0.56998%
0.975 e-7%1.06375%
1.047 e-2%1.7707%
Pb K x rays 78%
22890Th1.912 y6α:5.341 to 8.7850.23944%
-:0.334 to 2.2460.58331%
(→22488Ra
( 361 d)
22086Rn
55.8 s
21684Po
0.148 s
21282Pb
10.64 h
21283Bi
60.54 m
2.614
36%
21284Po)
300 ns)
24195Am432.6 yα5.443
5.486
13%
84%
0.060
Np L x rays 38%
24195Am/Be6 × 10-5 neutrons (⟨E⟩ = 4 MeV) and
4 × 10-5γ's (4.43 MeV from ⁹₄Be(α, n))
24496Cm18.11 yα5.763
5.805
24%
76%
Pu L x rays ~ 9%
25298Cf2.645 y α (97%)6.076
6.118
15%
82%
Fission (3.1%): Average 7.8 γ's/fission; ⟨Eγ= 0.88 MeV
≈ 4 neutrons/fission; ⟨En= 2.14 MeV
+ +"Emission probability" is the probability per decay of a given emission; +because of cascades these may total more than 100%. Only principal +emissions are listed. EC means electron capture, and e⁻ means +monoenergetic internal conversion (Auger) electron. The intensity of 0.511 +MeV e⁺e⁻ annihilation photons depends upon the number of stopped +positrons. Endpoint β∓ energies are listed. In some cases when energies +are closely spaced, the γ-ray values are approximate weighted averages. +Radiation from short-lived daughter isotopes is included where relevant. + +Half-lives, energies, and intensities may be found in www-pub.iaea.org/ +books/IAEABooks/7551/Update-of-X-Ray-and-Gamma-Ray-Decay-Data +-Standards-for-Detector-Calibration-and-Other-Applications, +IAEA (2007) or Nuclear Data Sheets +(www.journals.elsevier.com/nuclear-data-sheets) (2007). + +Neutron sources: See e.g. "Neutron Calibration Sources in the Daya Bay Experiment," J. Liu et al., Nuclear Instrum. Methods **A797**, 260 (2005) (arXiv:1504.07911). + +$^{51}_{24}$Cr calibration of neutrino detectors is discussed in e.g. J.N. Abdurashitov et al. [SAGE Collaboration], Phys. Rev. C59, 2246 (1999). The use of + +$^{75}_{34}$Se and other isotopes has been proposed. +---PAGE_BREAK--- + +# 39. Probability + +Revised August 2019 by G. Cowan (RHUL). + +The following is a much-shortened version of Sec. 39 of the full *Review*. +Equation, section, and figure numbers follow the *Review*. + +## 39.2 Random variables + +* **Probability density function** (p.d.f.): $x$ is a random variable. + +Continuous: $f(x; \theta)dx$ = probability $x$ is between $x$ to $x+dx$, given parameter(s) $\theta$; + +Discrete: $f(x;\theta)$ = probability of $x$ given $\theta$. + +* **Cumulative distribution function:** + +$$F(a) = \int_{-\infty}^{a} f(x) dx. \qquad (39.6)$$ + +Here and below, if $x$ is discrete-valued, the integral is replaced by a sum. +The endpoint $a$ is included in the integral or sum. + +* **Expectation values:** Given a function $u$: + +$$E[u(x)] = \int_{-\infty}^{\infty} u(x) f(x) dx. \qquad (39.7)$$ + +* **Moments:** + +$n^{th}$ moment of a random variable: $\alpha_n = E[x^n]$, \qquad (39.8a) + +$n^{th}$ central moment: $m_n = E[(x - \alpha_1)^n]$. \qquad (39.8b) + +Mean: $\mu = \alpha_1$, \qquad (39.9a) + +Variance: $\sigma^2 = V[x] = m_2 = \alpha_2 - \mu^2$. \qquad (39.9b) + +Coefficient of skewness: $\gamma_1 = m_3/\sigma^3$. + +Kurtosis: $\gamma_2 = m_4/\sigma^4 - 3$. + +Median: $F(x_{\text{med}}) = 1/2$. + +* **Marginal p.d.f.:** Let $x,y$ be two random variables with joint p.d.f. $f(x,y)$. + +$$f_1(x) = \int_{-\infty}^{\infty} f(x,y) dy; \quad f_2(y) = \int_{-\infty}^{\infty} f(x,y) dx. \qquad (39.10)$$ + +* **Conditional p.d.f.:** + +$$f_4(x|y) = f(x,y)/f_2(y); \quad f_3(y|x) = f(x,y)/f_1(x).$$ + +* **Bayes' theorem:** + +$$f_4(x|y) = \frac{f_3(y|x)f_1(x)}{f_2(y)} = \frac{f_3(y|x)f_1(x)}{\int f_3(y|x')f_1(x')dx'} . \qquad (39.11)$$ +---PAGE_BREAK--- + +* Correlation coefficient and covariance: + +$$ \mu_x = \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} x f(x, y) \, dx \, dy, \qquad (39.12) $$ + +$$ \rho_{xy} = E\left[\frac{(x - \mu_x)(y - \mu_y)}{\sigma_x \sigma_y}\right] = \frac{\operatorname{cov}[x, y]}{\sigma_x \sigma_y}, $$ + +$$ \sigma_x = \int_{-\infty}^{\infty} \int_{-\infty}^{\infty} (x - \mu_x)^2 f(x, y) \, dx \, dy. \text{ Note } \rho_{xy}^2 \le 1. $$ + +* Independence: $x,y$ are independent if and only if $f(x,y) = f_1(x) \cdot f_2(y)$; then $\rho_{xy} = 0$, $E[u(x)v(y)] = E[u(x)]E[v(y)]$ and $V[x+y] = V[x]+V[y]$. + +* Change of variables: From $x = (x_1, \dots, x_n)$ to $x = (y_1, \dots, y_n)$: $g(y) = f(x(y)) \cdot |J|$ where $|J|$ is the absolute value of the determinant of the Jacobian $J_{ij} = \partial x_i / \partial y_j$. For discrete variables, use $|J| = 1$. + +## 39.3 Characteristic functions + +Given a pdf $f(x)$ for a continuous random variable $x$, the characteristic function $\phi(u)$ is given by (31.6). Its derivatives are related to the algebraic moments of $x$ by (31.7). + +$$ \phi(u) = E[e^{iux}] = \int_{-\infty}^{\infty} e^{iux} f(x) dx . \qquad (39.17) $$ + +$$ i^{-n} \left. \frac{d^n \phi}{du^n} \right|_{u=0} = \int_{-\infty}^{\infty} x^n f(x) dx = \alpha_n . \qquad (39.18) $$ + +If the p.d.f.s $f_1(x)$ and $f_2(y)$ for independent random variables $x$ and $y$ have characteristic functions $\phi_1(u)$ and $\phi_2(u)$, then the characteristic function of the weighted sum $ax + by$ is $\phi_1(au)\phi_2(bu)$. The additional rules for several important distributions (e.g., that the sum of two Gaussian distributed variables also follows a Gaussian distribution) easily follow from this observation. + +## 39.4 Some probability distributions + +See Table 39.1. + +### 39.4.2 Poisson distribution + +The Poisson distribution $f(n; \nu)$ gives the probability of finding exactly $n$ events in a given interval of $x$ (e.g., space or time) when the events occur independently of one another and of $x$ at an average rate of $\nu$ per the given interval. The variance $\sigma^2$ equals $\nu$. It is the limiting case $p \to 0$, $N \to \infty$, $Np = \nu$ of the binomial distribution. The Poisson distribution approaches the Gaussian distribution for large $\nu$. + +### 39.4.3 Normal or Gaussian distribution + +Its cumulative distribution, for mean 0 and variance 1, is often tabulated as the error function + +$$ F(x; 0, 1) = \frac{1}{2} [1 + \operatorname{erf}(x/\sqrt{2})]. \qquad (39.24) $$ + +For mean $\mu$ and variance $\sigma^2$, replace $x$ by $(x - \mu)/\sigma$. + +$P(x$ in range $\mu \pm \sigma) = 0.6827,$ + +$P(x$ in range $\mu \pm 0.6745\sigma) = 0.5,$ + +$E[|x - \mu|] = \sqrt{2/\pi\sigma} = 0.7979\sigma,$ +---PAGE_BREAK--- + +half-width at half maximum = $\sqrt{2 \ln 2} \cdot \sigma = 1.177\sigma$. + +For n Gaussian random variables $x_i$, the joint p.d.f. is the multivariate Gaussian: + +$$ f(x; \mu, V) = \frac{1}{(2\pi)^{n/2} \sqrt{|V|}} \exp \left[ -\frac{1}{2}(x-\mu)^T V^{-1} (x-\mu) \right], \quad |V| > 0. \tag{39.25} $$ + +$V$ is the $n \times n$ covariance matrix; $V_{ij} = E[(x_i - \mu_i)(x_j - \mu_j)] = \rho_{ij} \sigma_i \sigma_j$, and $V_{ii} = V[x_i]$; $|V|$ is the determinant of $V$. For $n=2$, $f(x; \mu, V)$ is + +$$ f(x_1, x_2; \mu_1, \mu_2, \sigma_1, \sigma_2, \rho) = \frac{1}{2\pi\sigma_1\sigma_2\sqrt{1-\rho^2}} \times \exp\left\{ -\frac{1}{2(1-\rho^2)} \left[ \frac{(x_1-\mu_1)^2}{\sigma_1^2} - \frac{2\rho(x_1-\mu_1)(x_2-\mu_2)}{\sigma_1\sigma_2} + \frac{(x_2-\mu_2)^2}{\sigma_2^2} \right] \right\}. \tag{39.26} $$ + +The marginal distribution of any $x_i$ is a Gaussian with mean $\mu_i$ and variance $V_{ii}$. $V$ is $n \times n$, symmetric, and positive definite. Therefore for any vector **X**, the quadratic form $X^T V^{-1} X = C$, where $C$ is any positive number, traces an $n$-dimensional ellipsoid as **X** varies. If $X_i = x_i - \mu_i$, then $C$ is a random variable obeying the $\chi^2$ distribution with $n$ degrees of freedom, discussed in the following section. The probability that **X** corresponding to a set of Gaussian random variables $x_i$ lies outside the ellipsoid characterized by a given value of $C$ ($=\chi^2$) is given by $1 - F_{\chi^2}(C; n)$, where $F_{\chi^2}$ is the cumulative $\chi^2$ distribution. This may be read from Fig. 40.1. For example, the “s-standard-deviation ellipsoid” occurs at $C=s^2$. For the two-variable case ($n=2$), the point **X** lies outside the one-standard-deviation ellipsoid with 61% probability. The use of these ellipsoids as indicators of probable error is described in Sec. 40.4.2.2; the validity of those indicators assumes that **μ** and **V** are correct. + +### 39.4.5 $\chi^2$ distribution + +If $x_1, \dots, x_n$ are independent Gaussian random variables, the sum $z = \sum_{i=1}^n (x_i - \mu_i)^2 / \sigma_i^2$ follows the $\chi^2$ p.d.f. with $n$ degrees of freedom, which we denote by $\chi^2(n)$. More generally, for $n$ correlated Gaussian variables as components of a vector **X** with covariance matrix $V$, $z = X^T V^{-1} X$ follows $\chi^2(n)$ as in the previous section. For a set of $z_i$, each of which follows $\chi^2(n_i)$, $\sum z_i$ follows $\chi^2(\sum n_i)$. For large $n$, the $\chi^2$ p.d.f. approaches a Gaussian with mean $\mu = n$ and variance $\sigma^2 = 2n$. The $\chi^2$ p.d.f. is often used in evaluating the level of compatibility between observed data and a hypothesis for the p.d.f. that the data might follow. This is discussed further in Sec. 40.3.2 on tests of goodness-of-fit. + +### 39.4.7 Gamma distribution + +For a process that generates events as a function of $x$ (e.g., space or time) according to a Poisson distribution, the distance in $x$ from an arbitrary starting point (which may be some particular event) to the $k^{th}$ event follows a gamma distribution, $f(x; \lambda, k)$. The Poisson parameter $\mu$ is $\lambda$ per unit $x$. The special case $k=1$ (i.e., $f(x; \lambda, 1) = \lambda e^{-\lambda x}$) is called the exponential distribution. A sum of $k'$ exponential random variables $x_i$ is distributed as $f(\sum x_i; \lambda, k')$. + +The parameter $k$ is not required to be an integer. For $\lambda = 1/2$ and $k=n/2$, the gamma distribution reduces to the $\chi^2(n)$ distribution. + +See the full *Review* for further discussion and all references. +---PAGE_BREAK--- + +**Table 39.1:** Some common probability density functions, with corresponding characteristic functions and means and variances. In the Table, $Γ(k)$ is the gamma function, equal to $(k-1)!$ when $k$ is an integer. + +
DistributionProbability density function
f (variable; parameters)
Characteristic function φ(u)MeanVariance
Uniformf(x; a, b) =
1/(b-a)a ≤ x ≤ b
0otherwise
eibu/eiau / (b-a)iua+b/2(b-a)2/12
Binomialf(r; N, p) =
Nrpr(1-p)N-r
0otherwise
(q + peiu)NNpNpq
Poissonf(n; v) =
vne-vn=1, 1, 2, ..., N;
0 ≤ p ≤ 1;q = 1 - p
exp[v(eiu - 1)]vv
Normal
(Gaussian)
f(x; μ, σ2) =
1√(2π)
σ√(2π)
exp[-(x - μ)2/2σ2)
exp(iμu - 1/2σ2u2)μσ2
Multivariate
Gaussian
f(x; μ, V) =
1(2π)n/2√|V|
× exp[-1/2(x - μ)TV-1(x - μ)]
exp[iμ·u - 1/2uTVu]uVjk
χ2-∞ < x, j < ∞;
-∞ < μ, j < ∞;
|V| > 0
f(z; n) =
zn/2-1e-z/2n/2
z ≥ 0n/2
(1 - 2iu)n/2n2n
Student's t
-∞ < t < ∞;
n not required to be integer
f(t; n) =
1√nπ
Γ((n+1)/2) / Γ((n/2)) (1 + t2/n)(n+1)/20
for n > 1
for n > 2
n/(n-2)
f(x; λ, k) =
xk-1λke-λxk ≤ λ ≤ k+1;
λ(k)0 ≤ x < ∞;
(1 - iu/λ)-kk/λk/λ2
+ +Gamma +---PAGE_BREAK--- + +Revised October 2019 by G. Cowan (RHUL). + +This chapter gives an overview of statistical methods used in high-energy physics. In statistics, we are interested in using a given sample of data to make inferences about a probabilistic model, e.g., to assess the model's validity or to determine the values of its parameters. There are two main approaches to statistical inference, which we may call frequen-tist and Bayesian. + +**40.2 Parameter estimation** + +An estimator $\hat{\theta}$ (written with a hat) is a function of the data used to estimate the value of the parameter $\theta$. + +**40.2.1 Estimators for mean, variance, and median** + +Suppose we have a set of $n$ independent measurements, $x_1, \dots, x_n$, each assumed to follow a p.d.f. with unknown mean $\mu$ and unknown vari-ance $\sigma^2$ (the measurements do not necessarily have to follow a Gaussian distribution). Then + +$$ \hat{\mu} = \frac{1}{n} \sum_{i=1}^{n} x_i \qquad (40.5) $$ + +$$ \hat{\sigma^2} = \frac{1}{n-1} \sum_{i=1}^{n} (x_i - \hat{\mu})^2 \qquad (40.6) $$ + +are unbiased estimators of $\mu$ and $\sigma^2$. The variance of $\hat{\mu}$ is $\sigma^2/n$ and the variance of $\hat{\sigma^2}$ is + +$$ V[\hat{\sigma^2}] = \frac{1}{n} \left( m_4 - \frac{n-3}{n-1} \sigma^4 \right), \qquad (40.7) $$ + +where $m_4$ is the 4th central moment of $x$ (see Eq. (39.8)). For Gaussian distributed $x_i$, this becomes $2\sigma^4/(n-1)$ for any $n \ge 2$, and for large $n$ the standard deviation of $\hat{\sigma}$ is $\sigma/\sqrt{2n}$. + +If the $x_i$ have different, known variances $\sigma_i^2$, then the weighted average + +$$ \hat{\mu} = \frac{1}{w} \sum_{i=1}^{n} w_i x_i, \qquad (40.8) $$ + +where $w_i = 1/\sigma_i^2$ and $w = \sum_i w_i$, is an unbiased estimator for $\mu$ with a smaller variance than an unweighted average. The standard deviation of $\hat{\mu}$ is $1/\sqrt{w}$. + +**40.2.2 The method of maximum likelihood** + +Suppose we have a set of measured quantities $x$ and the likelihood $L(\theta) = P(x|\theta)$ for a set of parameters $\theta = (\theta_1, \dots, \theta_N)$. The maximum likelihood (ML) estimators for $\theta$ can be found by solving the likelihood equations, + +$$ \frac{\partial \ln L}{\partial \theta_i} = 0, \quad i = 1, \dots, N. \qquad (40.9) $$ + +In the large sample limit, the $s$ times the standard deviations $\sigma_i$ of the estimators for the parameters can be obtained from the hypersurface defined by the $\theta$ such that + +$$ \ln L(\theta) = \ln L_{\max} - s^2/2, \qquad (40.13) $$ +---PAGE_BREAK--- + +### 40.2.3 The method of least squares + +For Gaussian distributed measurements $y_i$ with mean $\mu(x_i; \theta)$ and known variance $\sigma_i^2$, the log-likelihood function contains the sum of squares + +$$ \chi^2(\theta) = -2 \ln L(\theta) + \text{constant} = \sum_{i=1}^{N} \frac{(y_i - \mu(x_i; \theta))^2}{\sigma_i^2}. \quad (40.19) $$ + +If the $y_i$ have a covariance matrix $V_{ij} = \text{cov}[y_i, y_j]$, then the estimators are determined by the minimum of + +$$ \chi^2(\theta) = (\mathbf{y} - \mathbf{\mu}(\theta))^T \mathbf{V}^{-1} (\mathbf{y} - \mathbf{\mu}(\theta)), \quad (40.20) $$ + +## 40.3 Statistical tests + +### 40.3.1 Hypothesis tests + +A frequentist test of a hypothesis (often called the null hypothesis, $H_0$) is a rule that states for which data values $x$ the hypothesis is rejected. A critical region $w$ is specified such that there is no more than a given probability $\alpha$, called the size or significance level of the test, to find $x \in w$. If the data are discrete, it may not be possible to find a critical region with exact probability content $\alpha$, and thus we require $P(x \in w | H_0) \le \alpha$. If the data are observed in the critical region, $H_0$ is rejected. + +The critical region is not unique, and generally defined relative to some alternative hypothesis (or set of alternatives) $H_1$. To maximize the power of the test of $H_0$ with respect to the alternative $H_1$, the Neyman-Pearson lemma states that the critical region $w$ should be chosen such that for all data values $x$ inside $w$, the likelihood ratio + +$$ \lambda(x) = \frac{f(x|H_1)}{f(x|H_0)} \quad (40.44) $$ + +is greater than or equal to a given constant $c_\alpha$, and everywhere outside the critical region one has $\lambda(x) < c_\alpha$, where the value of $c_\alpha$ is determined by the size of the test $\alpha$. Here $H_0$ and $H_1$ must be simple hypotheses, i.e., they should not contain undetermined parameters. + +### 40.3.2 Tests of significance (goodness-of-fit) + +Often one wants to quantify the level of agreement between the data and a hypothesis without explicit reference to alternative hypotheses. This can be done by defining a statistic $t$ whose value reflects in some way the level of agreement between the data and the hypothesis. For example, if $t$ is defined such that large values correspond to poor agreement with the hypothesis, then the p-value would be + +$$ p = \int_{t_{\text{obs}}}^{\infty} f(t|H_0) dt, \quad (40.45) $$ + +where $t_{\text{obs}}$ is the value of the statistic obtained in the actual experiment. + +#### 40.3.2.1 Goodness-of-fit with the method of least squares + +For Poisson measurements $n_i$ with variances $\sigma_i^2 = \mu_i$, the $\chi^2$ (40.19) becomes Pearson's $\chi^2$ statistic, + +$$ \chi^2 = \sum_{i=1}^{N} \frac{(n_i - \mu_i)^2}{\mu_i}. \quad (40.53) $$ +---PAGE_BREAK--- + +Assuming the goodness-of-fit statistic follows a $\chi^2$ p.d.f., the $p$-value for the hypothesis is then + +$$p = \int_{\chi^2}^{\infty} f(z; n_d) dz, \quad (40.54)$$ + +where $f(z; n_d)$ is the $\chi^2$ p.d.f. and $n_d$ is the appropriate number of degrees of freedom. Values are shown in Fig. 40.1. The $p$-values obtained for different values of $\chi^2/n_d$ are shown in Fig. 40.2. + +Figure 40.1: One minus the $\chi^2$ cumulative distribution, $1-F(\chi^2;n)$, for $n$ degrees of freedom. This gives the $p$-value for the $\chi^2$ goodness-of-fit test as well as one minus the coverage probability for confidence regions (see Sec. 40.4.2.2). + +Figure 40.2: The ‘reduced’ $\chi^2$, equal to $\chi^2/n$, for $n$ degrees of freedom. The curves show as a function of $n$ the $\chi^2/n$ that corresponds to a given $p$-value. + +#### **40.3.3 Bayes factors** + +In Bayesian statistics, one could reject a hypothesis *H* if its posterior probability *P*(*H*|*x*) is sufficiently small. The full prior probability for two models (hypotheses) *H**i* and *H**j* can be written in the form + +$$\pi(H_i, \theta_i) = P(H_i)\pi(\theta_i|H_i). \quad (40.55)$$ +---PAGE_BREAK--- + +The Bayes factor is defined as + +$$B_{ij} = \frac{\int P(x|\theta_i, H_i)\pi(\theta_i|H_i) d\theta_i}{\int P(x|\theta_j, H_j)\pi(\theta_j|H_j) d\theta_j}. \quad (40.58)$$ + +This gives what the ratio of posterior probabilities for models *i* and *j* would be if the overall prior probabilities for the two models were equal. + +## 40.4 Intervals and limits + +### 40.4.1 Bayesian intervals + +A Bayesian or credible interval) [$\theta_{1o}$, $\theta_{up}$] can be determined which contains a given fraction $1 - \alpha$ of the posterior probability, i.e., + +$$1 - \alpha = \int_{\theta_{1o}}^{\theta_{up}} p(\theta|x) d\theta. \qquad (40.60)$$ + +### 40.4.2 Frequentist confidence intervals + +#### 40.4.2.1 The Neyman construction for confidence intervals + +Given a p.d.f. $f(x; \theta)$, we can find using a pre-defined rule and probability $1 - \alpha$ for every value of $\theta$, a set of values $x_1(\theta, \alpha)$ and $x_2(\theta, \alpha)$ such that + +$$P(x_1 < x < x_2; \theta) = \int_{x_1}^{x_2} f(x; \theta) dx \geq 1 - \alpha. \quad (40.67)$$ + +#### 40.4.2.2 Gaussian distributed measurements + +When the data consists of a single random variable $x$ that follows a Gaussian distribution with known $\sigma$, the probability that the measured value $x$ will fall within $\pm\delta$ of the true value $\mu$ is + +$$ +\begin{aligned} +1 - \alpha &= \frac{1}{\sqrt{2\pi}\sigma} \int_{\mu-\delta}^{\mu+\delta} e^{-(x-\mu)^2/2\sigma^2} dx \\ +&= \operatorname{erf}\left(\frac{\delta}{\sqrt{2}\sigma}\right) = 2\Phi\left(\frac{\delta}{\sigma}\right) - 1, +\end{aligned} +\quad (40.70) $$ + +Fig. 40.4 shows a $\delta = 1.64\sigma$ confidence interval unshaded. Values of $\alpha$ for other frequently used choices of $\delta$ are given in Table 40.1. + +**Table 40.1:** Area of the tails $\alpha$ outside $\pm\delta$ from the mean of a Gaussian distribution. + +
αδαδ
0.31730.21.28σ
4.55 × 10-20.11.64σ
2.7 × 10-30.051.96σ
6.3 × 10-50.012.58σ
5.7 × 10-70.0013.29σ
2.0 × 10-910-43.89σ
+ +We can set a one-sided (upper or lower) limit by excluding above $x+\delta$ (or below $x-\delta$). The values of $\alpha$ for such limits are half the values in Table 40.1. Values of $\Delta\chi^2$ or $2\Delta\ln L$ are given in Table 40.2 for several values of the coverage probability $1-\alpha$ and number of fitted parameters $m$. +---PAGE_BREAK--- + +Figure 40.4: Illustration of a symmetric 90% confidence interval (unshaded) for a Gaussian-distributed measurement of a single quantity. Integrated probabilities, defined by $\alpha = 0.1$, are as shown. + +**Table 40.2:** Values of $\Delta\chi^2$ or $2\Delta \ln L$ corresponding to a coverage probability $1-\alpha$ in the large data sample limit, for joint estimation of $m$ parameters. + +
(1 - α) (%)m = 1m = 2m = 3
68.271.002.303.53
90.2.714.616.25
95.3.845.997.82
95.454.006.188.03
99.6.639.2111.34
99.739.0011.8314.16
+ +#### 40.4.2.3 Poisson or binomial data + +For Poisson distributed $n$, the upper and lower limits on the mean value $\mu$ from the Neyman procedure are + +$$ \mu_{\text{lo}} = \frac{1}{2} F_{\chi^2}^{-1}(\alpha_{\text{lo}}; 2n), \quad (40.76a) $$ + +$$ \mu_{\text{up}} = \frac{1}{2} F_{\chi^2}^{-1}(1 - \alpha_{\text{up}}; 2(n+1)), \quad (40.76b) $$ + +For the case of binomially distributed $n$ successes out of $N$ trials with probability of success $p$, the upper and lower limits on $p$ are found to be + +$$ p_{\text{lo}} = \frac{n F_F^{-1}[\alpha_{\text{lo}}; 2n, 2(N-n+1)]}{N-n+1 + n F_F^{-1}[\alpha_{\text{lo}}; 2n, 2(N-n+1)]}, \quad (40.77a) $$ + +$$ p_{\text{up}} = \frac{(n+1)F_F^{-1}[1 - \alpha_{\text{up}}; 2(n+1), 2(N-n)]}{(N-n) + (n+1)F_F^{-1}[1 - \alpha_{\text{up}}; 2(n+1), 2(N-n)]}. \quad (40.77b) $$ + +Here $F_F^{-1}$ is the quantile of the $F$ distribution (also called the Fisher-Snedecor distribution; see Ref. [4]). + +Several problems with such intervals are overcome by using the unified approach of Feldman and Cousins [40]. Properties of these intervals are described further in the *Review*. Table 40.4 gives the unified confidence +---PAGE_BREAK--- + +**Table 40.3:** Lower and upper (one-sided) limits for the mean $\mu$ of a Poisson variable given $n$ observed events in the absence of background, for confidence levels of 90% and 95%. + +
$n1 - α =90%1 - α =95%
μloμupμloμup
0-2.30-3.00
10.1053.890.0514.74
20.5325.320.3556.30
31.106.680.8187.75
41.747.991.379.15
52.439.271.9710.51
63.1510.532.6111.84
73.8911.773.2913.15
84.6612.993.9814.43
95.4314.214.7015.71
106.2215.415.4316.96
+ +intervals [$\mu_1, \mu_2$] for the mean of a Poisson variable given $n$ observed events in the absence of background, for confidence levels of 90% and 95%. + +**Table 40.4:** Unified confidence intervals [$\mu_1, \mu_2$] for a the mean of a Poisson variable given $n$ observed events in the absence of background, for confidence levels of 90% and 95%. + +
$n$1 - α =90%1 - α =95%
$\mu_1$$\mu_2$$\mu_1$$\mu_2$
00.002.440.003.09
10.114.360.055.14
20.535.910.366.72
31.107.420.828.25
41.478.601.379.76
51.849.991.8411.26
62.2111.472.2112.75
73.5612.532.5813.81
83.9613.992.9415.29
94.3615.304.3616.77
105.5016.504.7517.82
+ +Further discussion and all references may be found in the full *Review of Particle Physics*. +---PAGE_BREAK--- + +44. Monte Carlo Particle Numbering Scheme + +Revised May 2020 by F. Krauss (Durham U.), S. Navas (Granada U.), P. Richardson (Durham U.) and T. Sjöstrand (Lund U.). + +The Monte Carlo particle numbering scheme presented here is intended to facilitate interfacing between event generators, detector simulators, and analysis packages used in particle physics. The numbering scheme is used in several event generators, e.g. HERWIG, PYTHIA, and SHERPA, and interfaces, e.g. /HEPEVT/ and HepMC. The general form is a 7-digit number: + +$$ \pm n_r n_L n_q^1 n_q^2 n_q^3 n_J . $$ + +This encodes information about the particle's spin, flavor content, and internal quantum numbers: See the full review for details. An *abbreviated* list of common or well-measured particles follows below. + +
QUARKS
d1
u2
s3
c4
b5
t6
b'7
t'8
+ +
LEPTONS
e-11
νe12
μ-13
νμ14
τ-15
ντ16
τ'-17
ντ'18
+ +
GAUGE AND HIGGS BOSONS
g(9) 21
γ22
Z023
W+24
h0/H1025
Z'/Z2'032
Z''/Z3'033
W'/W2'034
H0/H3'035
A0/H4'036
H+37
H++38
a0/H4'040
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
SPECIAL PARTICLES
G (graviton)39
R041
LQc42
DM (S = 0)51
DM (S = 1/2)52
DM (S = 1)53
    reggeon110
    pomeron990
    odderon9990
for MC internal use
81–100, 901–930,
998–999,
1901–1930,
2901–2930, and
3901–3930 +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
SUSY PARTICLES
dL1000001
∼uL1000002
∼sL1000003
∼cL
∼bL1000004
∼bL'
∼tL'1000005
∼tL'
∼cL'1000006
∼cL'
∼veL'1000011
∼veL'
∼uL'1000012
∼uL'
∼dL'1000013
∼dL'
∼vμL'1000014
∼vμL'
∼τL'1000015
∼τL'
∼ντL'1000016
∼ντL'
∼dR'2000001
∼dR'
∼uR'2000002
∼uR'
∼sR'2000003
∼sR'
∼cR'2000004
∼cR'
∼bR'2000005
∼bR'
∼tR'2000006
∼tR'
∼eR'2000011
∼eR'
∼mR'2000013
∼mR'
LIGHT I = 1 MESONS
π0111
π+
a0(980)0900111
a0(980)+
a1(985)+900211
a1(985)+
a2(985)+1/210111
a2(985)+1/2
a3(985)+3/210211
a3(985)+3/2
a4(985)+5/2112
a4(985)+5/2
b1(985)+7/21213
b1(985)+7/2
b2(985)+9/21235
b2(985)+9/2
b3(985)+11/21257
b3(985)+11/2
b4(985)+13/21279
b4(985)+13/2
b5(985)+15/21301
b5(985)+15/2
+ +$\tilde{\tau}_2^{-}$       $2000015$ \\ +$\tilde{g}$       $1000021$ \\ +$\tilde{\chi}_1^0$       $1000022$ \\ +$\tilde{\chi}_2^0$       $1000023$ \\ +$\tilde{\chi}_1^+$       $1000024$ \\ +$\tilde{\chi}_3^-$       $1000025$ \\ +$\tilde{\chi}_4^-$       $1000035$ \\ +$\tilde{\chi}_2^+$       $1000037$ \\ +$G$       $1000039$ \\ + +
DIQUARKS
(dd)L$\quad$ 1103
$\quad$ 2167
$\quad$ 3666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7666
$\quad$ 7664
$\quad$ 7444
$\quad$ $\tilde{m}^-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-$ & $-\frac{m}{c}$ & $\frac{m}{c}$\\ +$\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$ & $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$& $\tilde{\nu}_{eL}$ +\\ +$\rho(77)\rho(77)$ & $+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+\frac{m}{c}$ +\\ +$\rho(77)\rho(7)$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+$ &$+\frac{m}{c}$ +\\ +$b_1(1235)^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+}\frac{m}{c}^{+} +\\ +b_2(985)^{-}&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-\\ +b_3(985)^{-}&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-&-\\ +b_4(985)^{-}&-&-&-&-&-&-&-&-&-&-&-&-&-\\ +b_5(985)^{-}&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-\\ +b_8(985)^{-}&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-\\ +b_9(985)^{-}&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-\\ +b_{14}(985)^{-}&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-\\ +b_{15}(985)^{-}&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-\\ +b_{24}(985)^{-}&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-\\ +b_{34}(985)^{-}&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-\\ +b_{44}(985)^{-}&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&-&&- && -\\ +b_{54}(985)^{-}&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- &&-- && -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +\\ +$\rho(98)$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-$ &$-\frac{m}{c}-$ +\\ +$\rho(98)$ &$-\frac{m^2-m^2_4-m^2_5-m^2_8-m^2_9-m^2_{14}}{(4\pi)^2 m^2_4 m^2_5 m^2_8 m^2_9 m^2_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}{(4\pi)^4 m^4_4 m^4_5 m^4_8 m^4_9 m^4_{14}}$ +\\ +$\rho(98)$ &$-\frac{(4\pi)^2 (q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_c') (q_c q_c')'}{(q_c q_c')' (q_c q_c')'}$ +\\ +$\rho(98)$ &$-\frac{(q_c q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q_q q_q) (q_q q_q)}{(q_q q_q) (q_q q_q)}$ +\\ +$\rho(98)$ &$-\frac{(q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q-q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q/q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q,q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q;q(q-c)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b) 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φ3(1850)337
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+ +STRANGE MESONS + +
K0130
K*310
K0311
K+321
K*s(1430)010311
K*s(1430)+10321
K*(892)0313
K*(892)+323
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+ +
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bbMEONS
                                      
 
MESONS
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+ + + &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} &#X{} — + + +
+ + + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + — + + +
+ + + --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- + + + +
+ + + -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- ---- -- + + +
+ head + . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . + head + ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + head + +
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + + + +
Material
Z
A
<(Z/A)>
+ + +
Material
Z
A
<(Z/A)>
+ + +
Material
Z
A
<(Z/A)>
+ +
Material
Z
A
<(Z/A)>
+ +
Material
Z
A
<(Z/A)>
+ +
Material
Z
A
<(Z/A)>
+ +
Material
Z
A
<(Z/A)>
+ +
Material
Z
A
<(Z/A)>
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
Material
Z
A
<(Z/A)> + +
IAIIAIIIAIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIBIIIB
PERIODIC TABLE OF THE ELEMENTS
IH
hydrogen2
1.008
3Li4BerylliumBeBeBeBeBeBeBeBeBeBeBeBeBeBeBeBeBe
lithium6.949.012182
11Na12MgMagnesiumMgMgMgMgMgMgMgMgMgMgMgMgMgMgMgMg
sodium22.987692824.305
19K20Ca
scandium
Titanium
titanium
44.95998
Vanadium
47.867
Chromium
50.9415
Zirconium
51.9961
Cadmium
43.42
Nickel
molybdis.
Rh
95.95
97.907212)
Pd
101.07
102.90550
106.42
107.8682
112.414
114.818
118.710
121.760
127.60
126.90447
131.293
139.48
140.76
148.63
152.95
158.92535
162.500
164.93033
167.259
168.93422
173.054
174.966
176.98
179.05
182.03
185.05
188.05
190.05
192.95
194.95
196.966569
200.592
204.38
207.2
208.98040
(208.98243)
(209.98715)
(222.01758)
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
radon
Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series +Lanthanide series + spanstyle:"\n \n
IA H hydrogen 1.008 3 Li 4 beryllium 9.012182 11 Na 12 Mg 22.9876928 3 Li 4 beryllium 9.012182 11 Na 12 Mg 24.305 3 IIB 4 IVB 5 VB 6 VIB 7 VII B 8 VIII 9 10 11 IIB 12 IIB 13 Al 6 carbon 12.0107 silicon 30.976968 aluminum 26.9815385 5 boron 10.81 7 carbon 14.007 nitrogen 15 Sulfur 32.06 oxygen 35.45 fluorine 78.98403163 chlorine 83.794 Ne 20.1797 argon 39.948 krypon 83.794 radon 78.6 radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radon radionuclide 36 Kr 4 He 4 Ne 10 Ne neon 20.1797 argonsulfur 36 Kr 4 He 4 Ne 10 Ne neon 4.002602 argonsulfur 36 Kr 4 He 4 Ne 10 Ne neon +---PAGE_BREAK--- + +Prepared for the U.S. Department of Energy +under Contract DE-AC02-05CH111231 + +
20202021
JULYAUGUSTAUGUST
S M T W T F SISEPTEMBERS M T W T F SIMARCH
5 6 7 8 9 10 11 12 13 14 15 16 17 181 2 3 411 2 3 4 5 6 71 2 3 4 5 6 71 2 3 4
19 20 21 22 23 24 25 26 27 28 29 30 312 3 4 5 6 7 86 7 8 9 10 11 124 5 6 7 8 9 106 7 8 9 10 115 6 7 8 9 10 11
11 12 13 14 15 16 17 189 10 11 12 1314 15 16 17 1811 12 13 14 15 1615 16 17 18 1912 13 14 15 16 17
251619202122
262728293031
+ +
JULYFEBRUARY
S M T W T F SAUGUSTFEBRUARY
ISEPTEMBERS M T W T F SIMARCHS M T W T F S
45678910
11121314151617
18192021222324
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OCTOBERNOVEMBER
S M T W T F SIS M T W T F SIS M T W T F SIS M T W T F S
45678910
11121314151617
18192021222324
+ + + + +
OCTOBER
JULY
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S E P T E M B E R
S S O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O_O_O_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_x_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_y_yy__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y__y___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o___o_____ +
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JANUARYFEBRUARY
S M T W T F SIS M T W T F SIS M T W T F SIS M T W T F S
3.4.5.6.7.8.9.10.1.2.3.4.5.6.7.7.8.9.10.11.12.7.8.9.10.11.12.7.8.9.10.11.12.7.8.9.10.11.12.7.8.9.10.11.12.
9.10.11.12.13.14.9.10.11.12.9.9.10.9.9.9.9.9.9.9.9.
24.25.26.27.28.29.30.
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APRIL + JULY + AUGUST + SEPTEMBER + OCTOBER + NOVEMBER + DECEMBER + JANUARY + FEBRUARY + MARCH + JUNE + JUNI + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMBER + DECEMENTER\n
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DEcember/January/February/March/April/May/June/Juni/July/ 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