Chiral model for nucleon and delta

Journal Article · Tue Jan 01 00:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.118· OSTI ID:6261732

Birse, M C; Banerjee, M K

We propose a model of the nucleon and delta based on the idea that strong QCD forces on length scales approx.0.2--1 fm result in hidden chiral SU(2) x SU(2) symmetry and that there is a separation of roles between these forces which are also responsible for binding quarks in hadrons and the forces which produce absolute confinement. This leads us to study a linear sigma model describing the interactions of quarks, sigma mesons, and pions. We have solved this model in the semiclassical (mean-field) approximation for the hedgehog baryon state. We refer to this solution as a chiral soliton. In the semiclassical approximation the hedgehog state is a linear combination of N and ..delta... We project this state onto states of good spin and isospin to calculate matrix elements of various operators in these states. Our results are in reasonable agreement with the observed properties of the nucleon. The mesonic contributions to g/sub A/ and sigma(..pi..N) are about two to three times too large, suggesting the need for quantum corrections.

• Research Organization: Department of Physics, University of Washington, Seattle, Washington 98195
• OSTI ID: 6261732
• Journal Information: Phys. Rev. D; (United States), Vol. 31:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
NUCLEONS
CHIRAL SYMMETRY
BAG MODEL
COLOR MODEL
COUPLING CONSTANTS
FLAVOR MODEL
ISOSPIN
MATRIX ELEMENTS
QUANTUM CHROMODYNAMICS
SEMICLASSICAL APPROXIMATION
SIGMA MODEL
SOLITONS
SPIN
STRONG INTERACTIONS
SU-2 GROUPS
SYMMETRY BREAKING
ANGULAR MOMENTUM
BARYONS
BASIC INTERACTIONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
HADRONS
INTERACTIONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUARK MODEL
QUASI PARTICLES
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
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