Radiative decays of scalar mesons $f_0(980)$ and $a_0(980)$ into $\rho(\omega) \gamma$ in the local Nambu-Jona-Lasinio model

TL;DR

This paper calculates the radiative decay widths of scalar mesons $f_0(980)$ and $a_0(980)$ into vector mesons and photons using the local Nambu-Jona-Lasinio model, highlighting the dominant loop contributions.

Contribution

It provides a detailed analysis of quark and meson loop contributions to scalar meson radiative decays within the NJL model, emphasizing their differing roles.

Findings

Meson loops dominate $f_0(980)$ decays.

Quark loops dominate $a_0(980)$ decays.

Calculated decay widths align with experimental data.

Abstract

In the framework of the local Nambu-Jona-Lasinio model the radiative decay widths of the scalar mesons $f_0(980)$ and $a_0(980)$ into $\rho\gamma$ and $\omega \gamma$ are calculated. The contributions of the quark loops and the meson loops are taken into account. For the radiative decays of the scalar meson $f_0(980)$ the contribution of the meson loops plays the dominant role. On the other side for the radiative decays of the scalar meson $a_0(980)$ the main contribution is given by the quark loops.