Production of $\pi^0\rho^0$ pair in electron-positron annihilation in the Nambu-Jona-Lasinio model

TL;DR

This paper models the production of a neutral pion and rho meson pair in electron-positron collisions using an extended NJL model, accounting for intermediate vector mesons, and finds results consistent with experimental data.

Contribution

It introduces an expanded NJL model that includes radial excitations of vector mesons to describe the $e^+e^- o ho^0 ho^0$ process in a specific energy range.

Findings

Results agree with experimental measurements

Intermediate vector mesons significantly contribute to the process

Model extends previous NJL approaches

Abstract

The process $e^+e^- \to \pi^0\rho$ is described in the framework of the expanded NJL model in the energy region from 0.9 GeV to 1.5 GeV. The contribution of intermediate state with vector mesons $\omega(782), \,\,\phi(1020)$, and $\omega'(1420)$, where $\omega'$ is the first radial excitation of $\omega$ - meson was taken into account. Results obtained are in satisfactory agreement with experimental data.