The $\rho-\omega$ splitting in constituent quark models

TL;DR

This paper improves the constituent quark model's ability to simultaneously describe light isoscalar and isovector vector mesons, addressing the $ ho-\omega$ splitting issue, and enhances understanding of meson spectroscopy.

Contribution

It introduces a refined solution within the constituent quark model that better accounts for the $ ho-\omega$ splitting, aiding in distinguishing conventional from exotic mesons.

Findings

Improved fit to $ ho$ and $\omega$ meson spectra.

Enhanced description of isoscalar meson spectroscopy.

Provides a step towards identifying exotic states.

Abstract

In this letter we present a solution to describe simultaneously the light isoscalar and isovector vector mesons in constituent quark models. In Ref. [1] the $q\bar q$ spectrum was studied in a generalized constituent quark model constrained by the $NN$ phenomenology and the baryon spectrum. An overall good fit to the available experimental data was obtained. A major problem of this description was the relative position of the vector $\omega$ and $\rho$ mesons. The present results improve the description of the isoscalar meson spectroscopy. They should serve as a step forward in distinguishing conventional quark model mesons from exotic states.