Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons

Abstract

We study the two-body decays of mesons using the covariant helicity formalism. In particular, we show how the partial wave analysis of decays constrains the interacting terms entering the Lagrangian describing the decays of mesons with $J=1$ and $J=2$. We use available information on partial wave analysis to study specific mesonic decays and to make predictions for not yet measured quantities as well as to investigate the isoscalar mixing angle in the axial-vector, pseudovector and pseudotensor sectors. In particular, in the axial-vector sector our result agrees with the LHCb one, and in the pseudotensor sector we confirm a quite large (and negative) angle in the nonstrange-strange basis, which is compatible with a large contribute of the axial anomaly.

20 pages, RevTex, 5 figures, version accepted in Phys.Rev.D

References in corpus (9)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Isoscalar meson spectroscopy from lattice QCD
• Chiral perturbation theory
• A simple alternative to the Breit-Wigner distribution
• Phenomenology of pseudotensor mesons and the pseudotensor glueball
• Excited $J^{--}$ meson resonances at the SU(3) flavor point from lattice QCD
• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• A fresh look at eta2(1645), eta2(1870), eta2(2030) and f2(1910) in pbar-p -> eta + 3pizero
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach

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