Chiral symmetry patterns of excited mesons with the Coulomblike linear confinement
Abstract
The spectrum of qq mesons in a model where the only interaction is a linear Coulomblike instantaneous confining potential is studied. The singlequark Green function as well as the dynamical chiral symmetry breaking are obtained from the SchwingerDyson (gap) equation. Given the dressed quark propagator, a complete spectrum of 'usual' mesons is obtained from the BetheSalpeter 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, A8010 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; BETHESALPETER EQUATION; BIOLOGICAL RECOVERY; CHIRAL SYMMETRY; CHIRALITY; EXCITATION; GREEN FUNCTION; MESONS; MULTIPLETS; POTENTIALS; PROPAGATOR; QUARKS; REGGE TRAJECTORIES; SPIN; SYMMETRY BREAKING; U1 GROUPS; WAVE FUNCTIONS
Citation Formats
Wagenbrunn, R. F., and Glozman, L. Ya.. Chiral symmetry patterns of excited mesons with the Coulomblike 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 Coulomblike 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 Coulomblike linear confinement". United States.
doi:10.1103/PHYSREVD.75.036007.
@article{osti_21011021,
title = {Chiral symmetry patterns of excited mesons with the Coulomblike 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 Coulomblike instantaneous confining potential is studied. The singlequark Green function as well as the dynamical chiral symmetry breaking are obtained from the SchwingerDyson (gap) equation. Given the dressed quark propagator, a complete spectrum of 'usual' mesons is obtained from the BetheSalpeter 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}
}

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