Baryon magnetic moments in a simultaneous expansion in 1/[ital N] and [ital m][sub [ital s]]

Journal Article · Wed Mar 01 04:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.2332· OSTI ID:6852879

Luty, M A; March-Russell, J ^[1]; White, M ^[2]

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1. Theoretical Physics Group, Lawrence Berkeley Laboratory, 1 Cyclotron Road, Berkeley, California 94720 (United States)
2. Center for Particle Astrophysics, 301 Le Conte Hall, University of California, Berkeley, California 94720 (United States)

We consider the baryon octet and decuplet magnetic moments in a simultaneous expansion in [ital m][sub [ital s]] and 1/[ital N] taking [ital N][sub [ital F]]/[ital N][similar to]1, where [ital N] is the number of QCD colors and [ital N][sub [ital F]] is the number of light quark flavors. At leading order in this expansion, the magnetic moments obey the nonrelativistic quark-model relations. We compute corrections to these relations using an effective Lagrangian formalism which respects chiral symmetry to all orders in the 1/[ital N] expansion. Including corrections up to order [ital m][sub [ital s]][sup 1/2], we find eight relations among the nine measured octet and decuplet magnetic moments; including corrections up to order 1/[ital N] and [ital m][sub [ital s]], we find four remaining relations. The relations work well, and suggest that the expansion is under control. We give predictions for the unmeasured magnetic moments.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6852879
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:5; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662240 -- Models for Strong Interactions-- (1992-)
662390* -- Electromagnetic Processes & Properties-- (1992-)
662410 -- Properties of Baryons & Baryon Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CHIRAL SYMMETRY
COLOR
COMPOSITE MODELS
CORRECTIONS
ELEMENTARY PARTICLES
EXPANSION
FERMIONS
FIELD THEORIES
FLAVOR
FUNCTIONS
HADRONS
LAGRANGIAN FUNCTION
MAGNETIC MOMENTS
MATHEMATICAL MODELS
OPTICAL PROPERTIES
ORGANOLEPTIC PROPERTIES
PARTICLE MODELS
PHYSICAL PROPERTIES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
SYMMETRY