Description of the process $e^+ e^- \to π^0π^0 γ$ in the extended NJL model

Abstract

The cross section of the process $e^+ e^- \to π^0π^0 γ$ is calculated in the extended NJL quark model. The vector channel with the intermediate $ρ$, $ω$, $ρ'$ and $ω'$ mesons is considered. The main contribution is given by the intermediate radially excited $ρ'$ meson. The role of the channel with the intermediate scalar meson is also discussed.