Description of the process $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\gamma$ in the extended NJL model

Abstract

The cross section of the process $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\gamma$ is calculated in the extended NJL quark model. The vector channel with the intermediate $\rho$, $\omega$, ${\rho }^{\prime }$ and ${\omega }^{\prime }$ mesons is considered. The main contribution is given by the intermediate radially excited ${\rho }^{\prime }$ meson. The role of the channel with the intermediate scalar meson is also discussed.

6 pages