The process $e^{+}{e}^{-}\to \eta ({\eta }^{\prime })2\pi$ in the extended NJL model

Abstract

Process of electron-positron annihilation into $\eta ({\eta }^{\prime })2\pi$ is described within the extended NJL model in the energy range up to about 2 GeV. Contributions of intermediate vector mesons $\rho (770)$ and $\rho (1450)$ are taken into account. Results for the $\eta 2\pi$ channel are found to be in a reasonable agreement with experimental data. Predictions for production of ${\eta }^{\prime }2\pi$ are given. The corresponding estimations for decays $\tau \to \eta ({\eta }^{\prime })2\pi \nu$ are given in Appendix.

Comments: Estimations for decays $\tau \to \eta ({\eta }^{\prime })2\pi \nu$ widths are added