Production ρ(770) of Meson Pairs in the Decays ρ(1450) → ρ(770)η and τ → ρ(770)ηντ and in the Process e+e– → ρ(770)η in the Extended Nambu–Jona-Lasinio Model

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.