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In the framework of the local Nambu-Jona-Lasinio model the radiative decaywidths 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 themeson loops are taken into account. For the radiative decays of the scalarmeson $f_0(980)$ the contribution of the meson loops plays the dominant role.On the other side for the radiative decays of the scalar meson $a_0(980)$ themain contribution is given by the quark loops.

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