Mixing and $m_q$ dependence of axial vector mesons in the Coulomb gauge QCD model

TL;DR

This paper investigates axial-vector mesons in Coulomb-gauge QCD, focusing on quark mass dependence, radial excitations, and the insensitivity to chiral symmetry breaking within a simplified closed-channel framework.

Contribution

It provides a detailed analysis of pure quark-antiquark axial-vector mesons and their mixing behavior across different quark masses in the Coulomb-gauge QCD model.

Findings

Axial-vector meson properties vary with quark mass.

Radial excitations show specific spectral patterns.

Insensitivity to chiral symmetry breaking in certain regimes.

Abstract

We discuss pure $q\bar{q}$ axial-vector mesons in the Tamm-Dancoff approximation of the Coulomb-gauge QCD model from NCSU. While recent studies have put emphasis in configuration mixing with open meson-meson channels, we here concentrate on the simpler closed-channel problem and follow the $1^+$ mixing through a wide range of quark masses. We also examine their radial excitations and discuss with them the concept of insensitivity to chiral symmetry breaking.