Baryon mass splittings and bag-model parameters

Journal Article · Sat Jun 01 04:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.2826· OSTI ID:5547396

Hwang, W

In this paper, we use the observed mass splittings among low-lying baryons (i.e., the flavor-SU(3) octet and decuplet) to perform an extensive search for chiral-bag-model parameters including the strong coupling constant ..cap alpha../sub s/ (equivalent(4..pi..)/sup -1/g/sup 2/), the effective pion-quark coupling ..cap alpha../sub ..pi../ (equivalent(4..pi..)/sup -1/g/sub piQ/ /sup 2/), the quark mass differences m/sub d/-m/sub u/ and m/sub s/-m/sub d/, and the nucleon bag radius R/sub N/. It is found that a remarkably good simultaneous fit exists at a nucleon bag radius of around 0.45 fm for the baryon mass splittings including n-p, ..sigma../sup -/-..sigma../sup +/, ..xi../sup -/-..xi../sup 0/, ..sigma../sup 0/-..lambda.., ..sigma../sup -asterisk/-..sigma../sup +asterisk/, ..xi../sup -asterisk/-..xi../sup 0asterisk/, ..delta../sup + +/-p, ..xi../sup 0asterisk/-p, and ..sigma../sup +asterisk/-p. In addition, the quality of the fit, as measured in terms of a chi/sup 2/ defined in the text, is worsened by almost two orders of magnitude if the nucleon bag radius is chosen to be greater than approx.0.8 fm or less than approx.0.3 fm or if the effective pion-quark coupling is set to zero.

• Research Organization: Nuclear Theory Center, Department of Physics, Indiana University, Bloomington, Indiana 47405
• OSTI ID: 5547396
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYONS
CHIRAL SYMMETRY
COMPOSITE MODELS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
FLAVOR MODEL
HADRONS
ISOSPIN
LIE GROUPS
MASS DIFFERENCE
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
STRONG-COUPLING MODEL
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS