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 00:00:00 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, Vol. 81, Issue 11; Other Information: DOI: 10.1103/PhysRevD.81.116002; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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