Production of $\rho(770)$, $\eta$ pairs in the decays $\rho(1450)\rightarrow \rho(770)\eta$, $\tau\rightarrow \rho(770)\eta\nu_{\tau}$, and in the process of $e^{+}e^{-} \rightarrow \rho(770)\eta$ in the Extended Nambu - Jona-Lasinio model

TL;DR

This paper calculates the production of rho(770) and eta pairs in electron-positron collisions and tau decays using the Nambu-Jona-Lasinio model, accounting for ground and excited rho states, and compares predictions with experimental data.

Contribution

It provides a theoretical analysis of rho(770) and eta pair production in various processes within the NJL model, including excited states and decay predictions.

Findings

Results agree with experimental data

Predictions for tau decay process are provided

Intermediate rho meson contributions are significant

Abstract

Production of $\rho(770)$, $\eta$ pairs at colliding of electron-positron beams and in the decays $\rho(1450)\rightarrow \rho(770)\eta$, $\tau\rightarrow \rho(770)\eta\nu_{\tau}$ is calculated in the framework of the Nambu - Jona-Lasinio model. In the process of electron-positron annihilation and the $\tau$ - lepton decay the contributions of the intermediate $\rho(770)$ vector meson in the ground and first radially excited state are taken into account. The theoretical prediction for the decay $\tau\rightarrow \rho(770)\eta\nu_{\tau}$ is given. The obtained results for other processes are in satisfactory agreement with the experimental data.