Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement

Abstract

The spectrum of $\bar{q}q$ mesons in a model where the only interaction is a linear Coulomb-like instantaneous confining potential is studied. The single-quark Green function as well as the dynamical chiral symmetry breaking are obtained from the Schwinger-Dyson (gap) equation. Given the dressed quark propagator, a complete spectrum of "usual" mesons is obtained from the Bethe-Salpeter equation. The spectrum exhibits restoration of chiral and $U(1{)}_A$ symmetries at large spins and/or radial excitations. This property is demonstrated both analytically and numerically. At large spins and/or radial excitations higher degree of degeneracy is observed, namely all states with the given spin fall into reducible representations $[(0,1/2)\oplus (1/2,0)]\times [(0,1/2)\oplus (1/2,0)]$ that combine all possible chiral multiplets with the given $J$ and $n$. The structure of the meson wave functions as well as the form of the angular and radial Regge trajectories are investigated.

1. Order of references has been changed and one reference has been added; 2. A short discussion of nonrelativistic and semirelativistic quark models has been added in the conclusion part on referee's request. To appear in Phys. Rev. D

References in corpus (6)

• Light meson spectrum and classical symmetries of QCD
• Parity Doubling Among the Baryons
• Effective restoration of chiral symmetry in excited mesons
• On Goldstone bosons decoupling from high-lying hadrons
• The operator product expansion does not imply parity doubling of hadrons
• Effective chiral restoration in the hadronic spectrum and QCD

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• Chiral restoration in excited nucleons versus SU(6)
• Overlap Quark Propagator in Coulomb Gauge QCD and the Interrelation of Confinement and Chiral Symmetry Breaking
• Chiral symmetry and excited baryons
• Chiral symmetry breaking and the Lorentz nature of confinement
• Chiral symmetry and the properties of hadrons in the Generalised Nambu-Jona-Lasinio model
• Chirally symmetric but confined hadrons at finite density
• The Radial Excited Heavy Mesons
• Quark models: What can they teach us?
• Confined but chirally and chiral spin symmetric hot matter
• Effective Chiral Symmetry Restoration for Heavy-Light Mesons
• Chiral symmetry and its breaking