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Deformed chiral nucleons

Abstract

We compute properties of the nucleon in a hybrid chiral model based on the linear {sigma}-model with quark degrees of freedom treated explicity. In contrast to previous calculations, we do not use the hedgehog ansatz. Instead we solve self-consistently for a state with well defined spin and isospin projections. We allow this state to be deformed and find that, although d- and g-state admixtures in the predominantly s-state single quark wave functions are not large, they have profound effects on many nucleon properties including magnetic moments and g{sub A}. Our best fit parameters provide excellent agreement with experiment but are much different from those determined in hedgehog calculations. (orig.).
Authors:
Price, C E; Shepard, J R [1] 
  1. Colorado Univ., Boulder (USA). Dept. of Physics
Publication Date:
Apr 18, 1991
Product Type:
Journal Article
Reference Number:
AIX-22-079323; EDB-91-156282
Resource Relation:
Journal Name: Physics Letters, (Section) B; (Netherlands); Journal Volume: 259:1/2
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NUCLEONS; PARTICLE STRUCTURE; QUARK MODEL; ANALYTICAL SOLUTION; ANGULAR MOMENTUM OPERATORS; AXIAL-VECTOR CURRENTS; CHIRALITY; CONFIGURATION MIXING; COUPLING CONSTANTS; D STATES; DEFORMATION; DIRAC EQUATION; EIGENSTATES; FIELD EQUATIONS; G STATES; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; MAGNETIC DIPOLE MOMENTS; NEUTRONS; PARTICLE RADII; PION-NUCLEON INTERACTIONS; PROTONS; REST MASS; S STATES; SCALAR FIELDS; SELF-CONSISTENT FIELD; SIGMA MODEL; SIGMA TERMS; SPINOR FIELDS; WAVE FUNCTIONS; ALGEBRAIC CURRENTS; BARYONS; BOSON-EXCHANGE MODELS; COMMUTATORS; COMPOSITE MODELS; CURRENT COMMUTATORS; CURRENTS; DIFFERENTIAL EQUATIONS; DIPOLE MOMENTS; ELEMENTARY PARTICLES; ENERGY LEVELS; EQUATIONS; FERMIONS; FIELD THEORIES; FUNCTIONS; HADRON-HADRON INTERACTIONS; HADRONS; INTERACTIONS; MAGNETIC MOMENTS; MASS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MESON-BARYON INTERACTIONS; MESON-NUCLEON INTERACTIONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE INTERACTIONS; PARTICLE MODELS; PARTICLE PROPERTIES; PERIPHERAL MODELS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; WAVE EQUATIONS; 645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
OSTI ID:
5130459
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0370-2693; CODEN: PYLBA
Submitting Site:
NLN
Size:
Pages: 1-6
Announcement Date:

Citation Formats

Price, C E, and Shepard, J R. Deformed chiral nucleons. Netherlands: N. p., 1991. Web. doi:10.1016/0370-2693(91)90123-8.
Price, C E, & Shepard, J R. Deformed chiral nucleons. Netherlands. doi:10.1016/0370-2693(91)90123-8.
Price, C E, and Shepard, J R. 1991. "Deformed chiral nucleons." Netherlands. doi:10.1016/0370-2693(91)90123-8. https://www.osti.gov/servlets/purl/10.1016/0370-2693(91)90123-8.
@misc{etde_5130459,
title = {Deformed chiral nucleons}
author = {Price, C E, and Shepard, J R}
abstractNote = {We compute properties of the nucleon in a hybrid chiral model based on the linear {sigma}-model with quark degrees of freedom treated explicity. In contrast to previous calculations, we do not use the hedgehog ansatz. Instead we solve self-consistently for a state with well defined spin and isospin projections. We allow this state to be deformed and find that, although d- and g-state admixtures in the predominantly s-state single quark wave functions are not large, they have profound effects on many nucleon properties including magnetic moments and g{sub A}. Our best fit parameters provide excellent agreement with experiment but are much different from those determined in hedgehog calculations. (orig.).}
doi = {10.1016/0370-2693(91)90123-8}
journal = {Physics Letters, (Section) B; (Netherlands)}
volume = {259:1/2}
journal type = {AC}
place = {Netherlands}
year = {1991}
month = {Apr}
}