Ratios of partial wave amplitudes in the decays of J = 1 and J = 2 mesons
DOI:
https://doi.org/10.31349/SuplRevMexFis.3.0308055Keywords:
meson decay, partial wave amplitudes, nonlocal interactionsAbstract
We study the two-body decay of mesons using the covariant helicity formalism. We find that to explain the ratio of partials wave amplitudes (PWAs) of the decay, the Lagrangian must include derivative interactions in addition to contact interactions. We estimate the ratios of the coupling constants for the vector decays of the axial-vector, pseudovector and pseudotensor meson, and the tensor decays of the pseudotensor mesons by fitting the ratios of the PWAs to the available data and predict the ratios to some new decays.
References
S. Godfrey and N. Isgur, “Mesons in a Relativized Quark Model with Chromodynamics,” Phys. Rev. D32(1985), 189-231doi:10.1103/PhysRevD.32.189
T. Barnes, F. E. Close, P. R. Page and E. S. Swanson, “Higher quarkonia,” Phys. Rev. D55(1997), 4157-4188doi:10.1103/PhysRevD.55.4157 [arXiv:hep-ph/9609339 [hep-ph]].
D. Parganlija, P. Kovacs, G. Wolf, F. Giacosa and D. H. Rischke, “Meson vacuum phenomenology in a three-flavor linear sigmamodel with (axial-)vector mesons,” Phys. Rev. D87(2013) no.1, 014011 doi:10.1103/PhysRevD.87.014011 [arXiv:1208.0585 [hep-ph]].
V. Bernard, N. Kaiser and U. G. Meissner, “Chiral dynamics in nucleons and nuclei,” Int. J. Mod. Phys. E4(1995), 193-346doi:10.1142/S0218301395000092 [arXiv:hep-ph/9501384 [hep-ph]].
V. Shastry, E. Trotti and F. Giacosa, “Constraints imposed by the partial wave amplitudes on the decays of J= 1,2 mesons,”[arXiv:2107.13501 [hep-ph]].
S. U. Chung, “Helicity coupling amplitudes in tensor formalism,” Phys. Rev. D48, 1225-1239 (1993) [erratum: Phys. Rev. D56,4419 (1997)] doi:10.1103/PhysRevD.56.4419.
S. U. Chung, “A General formulation of covariant helicity coupling amplitudes,” Phys. Rev. D57(1998), 431-442doi:10.1103/PhysRevD.57.431.
V. Filippini, A. Fontana and A. Rotondi, “Covariant spin tensors in meson spectroscopy,” Phys. Rev. D51, 2247-2261 (1995)doi:10.1103/PhysRevD.51.2247.
K. S. Jeong, S. H. Lee and Y. Oh, “Analysis of the b1 meson decay in local tensor bilinear representation,” JHEP08(2018), 179doi:10.1007/JHEP08(2018)179 [arXiv:1805.06559 [hep-ph]].
S. U. Chung, “SPIN FORMALISMS,” doi:10.5170/CERN-1971-008.
P. A. Zylaet al.[Particle Data Group], “Review of Particle Physics,” PTEP2020(2020) no.8, 083C01 doi:10.1093/ptep/ptaa104.
J. J. Dudek, R. G. Edwards, B. Joo, M. J. Peardon, D. G. Richards and C. E. Thomas, “Isoscalar meson spectroscopy from lattice QCD,” Phys. Rev. D83(2011), 111502 doi:10.1103/PhysRevD.83.111502 [arXiv:1102.4299 [hep-lat]].
R. Aaijet al.[LHCb], “Observation of ̄B(s)→J/ψf1(1285) Decays and Measurement of the f1(1285) Mixing Angle,” Phys. Rev.Lett.112(2014) no.9, 091802 doi:10.1103/PhysRevLett.112.091802 [arXiv:1310.2145 [hep-ex]].
M. Ablikimet al.[BESIII], “Observation of h1(1380) in the J/ψ→η′K ̄Kπ decay,” Phys. Rev. D98(2018) no.7, 072005doi:10.1103/PhysRevD.98.072005 [arXiv:1804.05536 [hep-ex]].
D. Barberiset al.[WA102], “A Study of the k anti-k pi channel produced centrally in p p interactions at 450-GeV/c,” Phys. Lett.B413(1997), 225-231 doi:10.1016/S0370-2693(97)01141-6 [arXiv:hep-ex/9707022 [hep-ex]].
A. Koenigstein and F. Giacosa, “Phenomenology of pseudotensor mesons and the pseudotensor glueball,” Eur. Phys. J. A52(2016) no.12, 356 doi:10.1140/epja/i2016-16356-x [arXiv:1608.08777 [hep-ph]].
E. Klempt and A. Zaitsev, “Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts,” Phys. Rept.454(2007), 1-202 doi:10.1016/j.physrep.2007.07.006 [arXiv:0708.4016 [hep-ph]].
F. Giacosa, A. Koenigstein and R. D. Pisarski, “How the axial anomaly controls flavor mixing among mesons,” Phys. Rev. D97(2018) no.9, 091901 doi:10.1103/PhysRevD.97.091901 [arXiv:1709.07454 [hep-ph]].
H. Y. Cheng, “Revisiting Axial-Vector Meson Mixing,” Phys. Lett. B707(2012), 116-120 doi:10.1016/j.physletb.2011.12.013[arXiv:1110.2249 [hep-ph]].
A. Tayduganov, E. Kou and A. Le Yaouanc, “The strong decays of K1 resonances,” Phys. Rev. D85(2012), 074011doi:10.1103/PhysRevD.85.074011 [arXiv:1111.6307 [hep-ph]].
C. A. Baker, C. J. Batty, K. Braune, D. V. Bugg, N. Djaoshvili, W. D ̈unnweber, M. A. Faessler, F. Meyer-Wildhagen, L. Montanetand I. Uman,et al.“Confirmation of a0(1450) and pi1(1600) in anti-p p –>omega pi+ pi- pi0 at rest,” Phys. Lett. B563(2003),140-149 doi:10.1016/S0370-2693(03)00643-9.
T. Wang, Z. H. Wang, Y. Jiang, L. Jiang and G. L. Wang, “Strong decays of D∗3(2760), D∗s3(2860), B∗3, and B∗s3,” Eur. Phys.J. C77(2017) no.1, 38 doi:10.1140/epjc/s10052-017-4611-5 [arXiv:1610.04991 [hep-ph]].
S. Jafarzade, A. Koenigstein and F. Giacosa, “Phenomenology of JP C= 3−−tensor mesons,” Phys. Rev. D103(2021) no.9,096027 doi:10.1103/PhysRevD.103.096027 [arXiv:2101.03195 [hep-ph]].
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Copyright (c) 2022 Vanamali Shastry (Author)
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