The processes $e^{+}e^{-} \to \pi\pi(\pi')$ in the extended NJL model

Abstract

The process $e^{+}e^{-} \to \pi^{+}\pi^{-}$ is described in the framework of the extended NJL model. Intermediate vector mesons $\rho^0(770)$, $\omega(782)$ and \rho'(1450)$ are taken into account. Our results are in satisfactory agreement with experimental data. The prediction for the process $e^{+}e^{-} \to \pi\pi'(1300)$ is given. Here the main contribution is given by the diagram with intermediate $\rho'(1450)$ meson.