Group theoretical study of nonstrange and strange mixed symmetric baryon states [N{sub c}-1,1] in the 1/N{sub c} expansion

Journal Article · Tue Jun 01 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.116002· OSTI ID:21408005

Matagne, N ^[1]; Stancu, Fl ^[2]

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1. University of Mons, Service de Physique Nucleaire et Subnucleaire, Place du Parc 20, B-7000 Mons (Belgium)
2. University of Liege, Institute of Physics B5, Sart Tilman, B-4000 Liege 1 (Belgium)

Using group theory arguments we extend and complete our previous work by deriving all SU(6) exact wave functions associated with the spectrum of mixed symmetric baryon states [N{sub c}-1,1] in the 1/N{sub c} expansion. The extension to SU(6) enables us to study the mass spectra of both strange and nonstrange baryons, while previous work was restricted to nonstrange baryons described by SU(4). The wave functions are specially written in a form to allow a comparison with the approximate, customarily used wave functions, where the system is separated into a ground state core and an excited quark. We show that the matrix elements of the flavor operator calculated with the exact wave functions acquire the same asymptotic form at large N{sub c}, irrespective of the spin-flavor multiplet contained in [N{sub c}-1,1], while with the approximate wave function one cannot obtain a similar behavior. The isoscalar factors of the permutation group of N{sub c} particles derived here can be used in any problem where a given fermion system is described by the partition [N{sub c}-1,1], and one fermion has to be separated from the rest.

• OSTI ID: 21408005
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
APPROXIMATIONS
ASYMPTOTIC SOLUTIONS
BARYONS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
ENERGY LEVELS
EVALUATION
EXPANSION
FERMIONS
FLAVOR MODEL
FUNCTIONS
GROUND STATES
GROUP THEORY
HADRONS
LIE GROUPS
MASS SPECTRA
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MATHEMATICS
MATRIX ELEMENTS
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
QUARKS
SPECTRA
SPIN
SU GROUPS
SU-4 GROUPS
SU-6 GROUPS
SYMMETRY
SYMMETRY GROUPS
WAVE FUNCTIONS