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Chiral quark-meson model of N and. delta. with vector mesons

Journal Article · · Phys. Rev. D; (United States)
;

We consider a model of N and ..delta.. built on quarks interacting with sigma, ..pi.., rho, A-italic/sub 1/, and ..omega.. mesons. We solve the problem in the mean-field approximation. The Lagrangian is based on the chiral SU(2) x SU(2) symmetry and incorporates the idea of universal coupling. Accordingly, rho is coupled to the conserved isospin current, A-italic to the partially conserved axial-vector current, and ..omega.. to the conserved baryon current. As a result the only parameter of the model not directly related to experiment is the quark-pion coupling constant. Using the solitonic solution of the Lagrangian we calculate the properties of N-italic and ..delta... It is found that the vector mesons play a very important role in the system, contributing significantly to the values of physical observables. We analyze the classical stability of the system with respect to breathing modes, which contain the lowest excitations. It is found that stable solutions exist only for a limited range of the values of the coupling constants.

Research Organization:
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
OSTI ID:
5570223
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:3; ISSN PRVDA
Country of Publication:
United States
Language:
English

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Related Subjects

645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
BOSONS
CHIRAL SYMMETRY
COMPOSITE MODELS
COUPLING CONSTANTS
DELTA-1236 RESONANCES
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
HYPERONS
INTERACTIONS
ISOSPIN
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MESONS
NUCLEONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PCAC THEORY
PIONS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARK-HADRON INTERACTIONS
QUASI PARTICLES
RANDOM PHASE APPROXIMATION
SIGMA BARYONS
SIGMA PARTICLES
SOLITONS
STRANGE PARTICLES
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
VECTOR MESONS