Coherent study ofχc0,2→VV,PPandSS

Abstract

We investigate the decays of ${\ensuremath{\chi}}_{c0,2}$ into vector meson pairs ($VV$), pseudoscalar pairs ($PP$), and scalar pairs ($SS$) in a general factorization scheme. The purpose is to clarify the role played by the OZI-rule violations and SU(3) flavour breakings in the decay transitions, and their correlations with the final-state meson wavefunctions. For ${\ensuremath{\chi}}_{c0,2}\ensuremath{\rightarrow}VV$ and $PP$, we obtain an overall self-contained description of the experimental data. Applying this factorization to ${\ensuremath{\chi}}_{c0}\ensuremath{\rightarrow}{f}_{0}^{i}{f}_{0}^{j}$, where $i,j=1,2,3$ denotes ${f}_{0}(1710)$, ${f}_{0}(1500)$ and ${f}_{0}(1370)$, respectively, we find that specific patterns will arise from the model predictions for the decay branching ratio magnitudes, and useful information about the structure of those three scalars can be abstracted.