Two photon decays of scalar mesons in a covariant quark model

TL;DR

This paper calculates two-photon decay widths of certain scalar mesons using a covariant quark model, providing insights into meson structure and mixing, with results aligning with experimental data.

Contribution

It applies a covariant quark model to compute two-photon decay widths of scalar mesons, offering a novel approach compared to previous form factor calculations.

Findings

Results favor nonideal mixing of $f_0(980)$ and $f_0(1370)$

Calculated decay rate of $ ext{chi}_{c0}$ matches experimental data

Model suggests small quark masses are effective in decay width calculations

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.