Flavor symmetry and mass-splitting formulas for the sub-SU(3) Skyrmion in SU( N )

Journal Article · Tue Jan 01 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.185· OSTI ID:6255132

Wu, G; Yan, M ^[1]; Liu, K ^[2]

---

1. Center of Theoretical Physics, Chinese Center of Advanced Science Technology (World Laboratory), Fundamental Physics Center, University of Science and Technology of China, Hefei, Anhui (People's Republic of China)
2. Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky (USA)

New mass-splitting formulas for the octet and decuplet baryons are obtained in the sub-SU(3) Skyrme model in SU({ital N}) with {ital N}=3 to 8 by the perturbative treatment. The higher-order-term contributions to the perturbative expansions are examined. We find that {ital N}=5 or 6 makes the mass spectrum most compatible with data. They are much better than the pure SU(3) model. Some useful Clebsch-Gordan coefficients of SU({ital N}) with {ital N}=3,4,5,6,7, and 8 are calculated and listed.

• OSTI ID: 6255132
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:1; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CLEBSCH-GORDAN COEFFICIENTS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FLAVOR MODEL
FUNCTIONS
HADRONS
LAGRANGIAN FUNCTION
LIE GROUPS
MASS FORMULAE
MATHEMATICAL MODELS
NUCLEON-NUCLEON POTENTIAL
PARTICLE MODELS
PERTURBATION THEORY
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUASI PARTICLES
SKYRME POTENTIAL
SOLITONS
SU GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS