Two photon decays of scalar mesons in a covariant quark model

Abstract

Two photon decay widths of the $J^P = O^+$ scalar mesons $a_{0} (980)$, $f_{0}(980)$, $f_{0}(1370)$ and $\chi_{c0}$ are calculated in a covariant model which is characterized by the quark - antiquark structure. Previously such models were used to calculate current form factors. Here a different application is tried. A simple version of the model uses adjusted nonrelativistic model parameters with small quark masses. The results seem to prefer nonideal mixing of $f_0(980)$ and $f_0(1370)$. The calculated decay rate of $\chi_{c0}$ agrees with the experimental results.