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

## Abstract

The spectrum of qq 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){sub 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)+(1/2,0)]x[(0,1/2)+(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.

- Authors:

- Institute for Physics, Theoretical Physics branch, University of Graz, Universitaetsplatz 5, A-8010 Graz (Austria)

- Publication Date:

- OSTI Identifier:
- 21011021

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.75.036007; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BETHE-SALPETER EQUATION; BIOLOGICAL RECOVERY; CHIRAL SYMMETRY; CHIRALITY; EXCITATION; GREEN FUNCTION; MESONS; MULTIPLETS; POTENTIALS; PROPAGATOR; QUARKS; REGGE TRAJECTORIES; SPIN; SYMMETRY BREAKING; U-1 GROUPS; WAVE FUNCTIONS

### Citation Formats

```
Wagenbrunn, R. F., and Glozman, L. Ya.
```*Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.036007.

```
Wagenbrunn, R. F., & Glozman, L. Ya.
```*Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement*. United States. doi:10.1103/PHYSREVD.75.036007.

```
Wagenbrunn, R. F., and Glozman, L. Ya. Thu .
"Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement". United States.
doi:10.1103/PHYSREVD.75.036007.
```

```
@article{osti_21011021,
```

title = {Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement},

author = {Wagenbrunn, R. F. and Glozman, L. Ya.},

abstractNote = {The spectrum of qq 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){sub 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)+(1/2,0)]x[(0,1/2)+(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.},

doi = {10.1103/PHYSREVD.75.036007},

journal = {Physical Review. D, Particles Fields},

number = 3,

volume = 75,

place = {United States},

year = {Thu Feb 01 00:00:00 EST 2007},

month = {Thu Feb 01 00:00:00 EST 2007}

}