Skyrmions and vector mesons: a symmetric approach
We propose an extension of the effective, low-energy chiral Lagrangian known as the Skyrme model, to one formulated by a non-linear sigma model generalized to include vector mesons in a symmetric way. The model is based on chiral SU(6) x SU(6) symmetry spontaneously broken to static SU(6). The rho and other vector mesons are dormant Goldstone bosons since they are in the same SU(6) multiplet as the pion and other pseudoscalars. Hence the manifold of our generalized non-linear sigma model is the coset space (SU(6) x SU(6))/Su(6). Relativistic effects, via a spin-dependent mass term, break the static SU(6) and give the vectors a mass. The model can then be fully relativistic and covariant. The lowest-lying Skyrmion in this model is the whole baryonic 56-plet, which splits into the octet and decuplet in the presence of relativistic SU(6)-breaking. Due to the built-in SU(6) and the presence of vector mesons, the model is expected to have better phenomenological results, as well as providing a conceptually more unified picture of mesons and baryons. 29 references.
- Research Organization:
- Brookhaven National Lab., Upton, NY (USA); Connecticut Univ., Storrs (USA). Dept. of Physics
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 6857118
- Report Number(s):
- BNL-35050; CONF-8406178-1; ON: DE84015297
- Resource Relation:
- Conference: Workshop on solitons in nuclear and elementary particle physics, Lewes, DE, USA, 2 Jun 1984
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
POSTULATED PARTICLES
CHIRAL SYMMETRY
VECTOR MESONS
PARTICLE MODELS
GOLDSTONE BOSONS
LAGRANGIAN FUNCTION
SIGMA MODEL
SOLITONS
SU-6 GROUPS
SYMMETRY BREAKING
BOSONS
ELEMENTARY PARTICLES
FUNCTIONS
HADRONS
LIE GROUPS
MATHEMATICAL MODELS
MESON RESONANCES
MESONS
QUASI PARTICLES
RESONANCE PARTICLES
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
645300* - High Energy Physics- Particle Invariance Principles & Symmetries
645201 - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory