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Title: Skyrmions and vector mesons: a symmetric approach

Abstract

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.

Authors:
Publication Date:
Research Org.:
Brookhaven National Lab., Upton, NY (USA); Connecticut Univ., Storrs (USA). Dept. of Physics
OSTI Identifier:
6857118
Report Number(s):
BNL-35050; CONF-8406178-1
ON: DE84015297
DOE Contract Number:  
AC02-76CH00016
Resource Type:
Conference
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
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 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

Citation Formats

Caldi, D G. Skyrmions and vector mesons: a symmetric approach. United States: N. p., 1984. Web.
Caldi, D G. Skyrmions and vector mesons: a symmetric approach. United States.
Caldi, D G. 1984. "Skyrmions and vector mesons: a symmetric approach". United States. https://www.osti.gov/servlets/purl/6857118.
@article{osti_6857118,
title = {Skyrmions and vector mesons: a symmetric approach},
author = {Caldi, D G},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/6857118}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 1984},
month = {Sun Jan 01 00:00:00 EST 1984}
}

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