\chi_{c0,2} decay into light meson pairs and its implication of the scalar meson structures

Abstract

In light of the recent data from BES collaboration for $\chi_{c0}\to VV$, $PP$ and $SS$, and from CLEO-c for $\eta\eta$, $\eta^\prime\eta^\prime$ and $\eta\eta^\prime$, we present a detailed analysis of the decays of heavy quarkonia into light meson pairs such as $\chi_{c0,2}\to VV$, $PP$ and $SS$ in a recently proposed parametrization scheme. An overall agreement with the data is achieved in $\chi_{c0,2}\to VV$ and $PP$, while in $\chi_{c0}\to SS$ we find that a possible existence of glueball-$q\bar{q}$ mixings is correlated with the OZI-rule violations, which can be further examined at CLEO-c and BESIII in $\chi_{c0}\to SS$ measurement.