Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement
- Institute for Physics, Theoretical Physics branch, University of Graz, Universitaetsplatz 5, A-8010 Graz (Austria)
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.
- OSTI ID:
- 21011021
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 75, Issue 3; Other Information: DOI: 10.1103/PhysRevD.75.036007; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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