Recoil effects in a bag model

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

DOI:https://doi.org/10.1103/PhysRevD.31.2874· OSTI ID:5736949

Gattone, A O; Hwang, W P

In this paper, we invoke the formalism used previously by Krajcik and Foldy to obtain the relativistic center-of-mass coordinates for a system of pointlike Dirac particles. This procedure allows us to investigate a recent dispute regarding the size, as well as the proper formulation, of recoil corrections to baryon magnetic moments in a bag model. Our results suggest that the overall center-of-mass-system motion, when factored out properly to yield the momentum-conservation delta functions, does not result in the additional and sizable recoil corrections as addressed specifically by Betz and Goldflam as well as by Guichon. It appears that the major recoil contribution to the baryon magnetic moment comes from the spinor rotation of the constituent quarks. Although the dispute in question is related to effects of first order in q/M with q the magnitude of the momentum transfer and M the baryon mass and so can be settled with confidence, it appears that terms of order (q/M)/sup 2/ or beyond are highly model-dependent.

• Research Organization: Nuclear Theory Center, Department of Physics, Indiana University, Bloomington, Indiana 47405
• OSTI ID: 5736949
• 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

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYONS
CENTER-OF-MASS SYSTEM
CHIRAL SYMMETRY
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
HADRONS
MAGNETIC MOMENTS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
RECOILS
RELATIVISTIC RANGE
SYMMETRY
SYMMETRY BREAKING
WAVE EQUATIONS