Study the decays of ${\chi }_{cJ}(J=0,1,2)$ to light meson pairs with SU(3) flavor symmetry/breaking analysis

Abstract

Based on available experimental results on ${\chi }_{cJ}(J=0,1,2)$ decays, we investigate the ${\chi }_{cJ}\to PP$, $VV$, $PV$, and $PT$ decays by using SU(3) flavor symmetry/breaking approach, where $P$, $V$, and $T$ denote light pseudoscalar, vector, and tensor mesons, respectively. With the decay amplitude relations determined by SU(3) flavor symmetry/breaking, we present the branching ratios for all ${\chi }_{cJ}\to PP$ and ${\chi }_{cJ}\to VV$ modes, including ones without experimental data. While theoretical considerations strongly suppress or even forbid most ${\chi }_{cJ}\to PV$ and $PT$ decays, we also provide quantitative predictions constrained by existing experimental data. Our results are expected to be accessible in future experiments at BESIII and the planned Super Tau-Charm Facility.

References in corpus (9)

• 50 Years of Quantum Chromodynamics
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Determination of the number of $\psi (3686)$ events taken at BESIII
• The evasion of helicity selection rule in ${\chi }_{c1}\to VV$ and ${\chi }_{c2}\to VP$ via intermediate charmed meson loops
• Measurement of the integrated luminosity of the data collected at 3.773 GeV by BESIII from 2021 to 2024
• χ_{c0,2} decay into light meson pairs and its implication of the scalar meson structures
• Study of charmonium decays to $K_S^{0}K\pi$ in the $B\to (K_S^{0}K\pi )K$ channels
• Measurements of $\psip$ decays into $\gamma K\bar{K}\pi$ and $γη\pipi$
• Observation of ${\chi }_{c2}\to {\eta }^{\prime }{\eta }^{\prime }$ and ${\chi }_{c0,2}\to \eta {\eta }^{\prime }$