A coherent study of ${\chi }_{c0,2}\to VV$, $PP$ and $SS$

Abstract

We investigate the decays of ${\chi }_{c0,2}$ 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 ${\chi }_{c0,2}\to VV$ and $PP$, we obtain an overall self-contained description of the experimental data. Applying this factorization to ${\chi }_{c0}\to f_0^i{f}_0^j$, 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.

Comments: Revtex, 8 pages, 3 figures; Typos corrected, version accepted by Phys. Rev. D