Group Theoretical Analysis of the Wave Function of the [70,1{sup -}] Nonstrange Baryons in the 1/N{sub c} Expansion

Journal Article · Fri Aug 29 04:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2987181· OSTI ID:21152401

Matagne, N ^[1]; Stancu, Fl ^[2]

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1. Institut fuer Theoretische Physik, Universitaet Giessen, Heinrich-Buff-Ring 16, D-35392 Giessen (Germany)
2. Departement d'Astrophysique, de Geophysique et d'Oceanographie, Universite de Liege, B5a, Sart-Tilman, B-4000 Liege (Belgium)

Using standard group theoretical techniques we construct the exact wave function of the [70,1{sup -}] multiplet in the orbital, spin and flavor space. This symmetric wave function is compared to that customarily used in the 1/N{sub c} expansion, which is asymmetric. The comparison is made by analyzing the matrix elements of various operators entering the mass formula. These matrix elements are calculated by the help of isoscalar factors of the permutation group, specially derived for this purpose as a function of N{sub c}. We also compare two distinct methods used in the study of the [70,1{sup -}] multiplet. In the first method the generators are divided into two parts, one part acting on a subsystem of N{sub c}-1 quarks called core and another on the separated quark. In the second method the system is treated as a whole. We show that the latter is simpler and allows to clearly reveal the physically important operators in the mass formula.

• OSTI ID: 21152401
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1038; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMMETRY
BARYONS
COMPARATIVE EVALUATIONS
ELECTROMAGNETIC FORM FACTORS
FLAVOR MODEL
MASS FORMULAE
MATRIX ELEMENTS
PARTICLE MULTIPLETS
QUANTUM CHROMODYNAMICS
QUARKS
SPIN
SYMMETRY BREAKING
TENSOR MESONS
WAVE FUNCTIONS