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

The production of ρ(770)η meson pairs in electron–positron collisions and in the decays ρ(1450) → ρ(770)η and τ → ρ(770)ην_τ is calculated in the framework of the extended Nambu–Jona-Lasinio model. The contributions with intermediate ρ mesons in both the ground and first radially excited states are taken into account when calculating processes associated with electron–positron annihilation and decay of the tau lepton. The width of the decay τ → ρ(770)ην_τ is theoretically estimated. The results obtained for other processes are consistent with the existing experimental data.