Low-energy interactions of mesons with participation of the first radially excited states in $U(3) \times U(3)$ NJL model

TL;DR

This paper reviews a $U(3) imes U(3)$ NJL model that describes low-energy meson interactions, including excited states, and successfully matches experimental data for meson processes and decays.

Contribution

It extends the NJL model to include first radially excited meson states, enabling comprehensive description of meson interactions and decays.

Findings

Model describes a wide range of meson interactions.

Accurately reproduces experimental results for $ au$ decays and meson production.

Final state interactions are crucial for matching experimental data.

Abstract

The $U(3) \times U(3)$ chiral symmetric NJL model describing pseudoscalar, vector, and axial vector mesons in both the ground state and first radially excited states is shortly presented in this review. In this model, it is possible to describe a large number of low-energy interactions of mesons, $\tau$ lepton decays into mesons and processes of meson production in electron-positron annihilations in satisfactory agreement with the experiments. In describing a number of processes, it turned out to be necessary to take into account the interactions of mesons in the final state.