Production of $\omega\pi^0$ pair in electron-positron annihilation

TL;DR

This paper models electron-positron annihilation into $c0$ and $a9$ mesons using the NJL model, highlighting the dominant role of the $ ho'(1450)$ meson at energies below 2 GeV and comparing results with experimental data.

Contribution

It introduces a detailed NJL model calculation including intermediate vector mesons for the process, emphasizing the significance of the $ ho'(1450)$ state.

Findings

The $ ho'(1450)$ dominates the cross section below 2 GeV.

Single photon and $ ho(770)$ contributions align with vector meson dominance.

Numerical results agree with experimental measurements.

Abstract

The process of electron-positron annihilation into a pair of $\pi^0$ and $\omega$ mesons is considered in the framework of the SU(2)$\times$SU(2) Nambu--Jona-Lasinio model. Contributions of intermediate photons, $\rho(770)$ and $\rho'(1450)$ vector mesons are taken into account. It is shown that the bulk of the cross section at energies below 2 GeV is provided by the process with intermediate $\rho'(1450)$ state. The contribution due to single photon and $\rho(770)$ exchange is in agreement with the vector meson dominance model. Numerical results are compared with experimental data.