Spin 1 low lying meson spectra and the subtle link to the spin 0 mesons

TL;DR

This paper extends a three-flavor NJL quark model to include vector and axial vector interactions, analyzing their impact on the spectra of low-lying spin 0 and 1 mesons and fitting parameters to match observed meson masses.

Contribution

It introduces explicit vector and axial vector interactions into the NJL model and examines their effects on meson spectra, providing a more comprehensive understanding of meson mass relations.

Findings

Model successfully fits low-lying meson masses

New interactions influence meson mass spectrum

Detailed analysis of chiral symmetry breaking effects

Abstract

An NJL-type three-flavor quark model with a complete set of explicit chiral symmetry breaking terms is extended to include vector and axial vector effective interaction terms. The bosonized Lagrangian is written up to quadratic order in the bosonic fields and the role of the new interactions is analysed in detail. The model's parameters are fitted to yield reasonable values to the four low-lying spin 0 and spin 1 meson nonets' masses.