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

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.