Dynamical source of mass splitting in an SU(3) bag model

Journal Article · Mon Sep 01 04:00:00 EDT 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.34.1499· OSTI ID:5108067

Johnstone, J A

The cloudy bag model of baryons is extended to include coupling to the kaons according to SU(3)/sub L-italic/xSU(3)/sub R-italic/ symmetry. The breaking of chiral symmetry is imposed solely by allowing the pseudoscalar mesons to acquire their physical masses. The bare masses of the up, down, and strange quarks are therefore taken to be degenerate. Assuming that a single set of bag parameters describes both the baryon octet and decimet, self-energy corrections to the baryon masses are calculated to the level of virtual states containing two mesons (..pi.., K-italic, and K-bar). The four model parameters are fixed by fitting the N-italicN-italic..pi.. coupling constant, N-italic mass, ..delta.. mass, and ..pi..N-italic scattering phase shifts in the P-italic/sub 33/ channel. These parameters give an excellent prediction for the baryon masses in the )8) and )10). A consistent picture is thereby obtained in which the mass splitting between baryon isomultiplets arises exclusively from mesonic self-energy corrections, while the u-italic, d-italic, and s-italic quarks are degenerate in mass.

• Research Organization: Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5108067
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:5; 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
BOSONS
CHIRAL SYMMETRY
COMPOSITE MODELS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
ENERGY
EXTENDED PARTICLE MODEL
FERMIONS
HADRONS
LIE GROUPS
MASS DIFFERENCE
MASS SPECTRA
MATHEMATICAL MODELS
MESONS
NUCLEONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHASE SHIFT
PIONS
PSEUDOSCALAR MESONS
QUARK MODEL
SELF-ENERGY
SPECTRA
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS