Meson-baryon reactions in the three-flavor Skyrme model

Journal Article · Fri Feb 01 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.760· OSTI ID:5910727

Donohue, J T ^[1]

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1. Laboratoire de Physique Theorique, Universite de Bordeaux I, 33170 Gradignan, France (US)

The consequences of the three-flavor Skyrmion model for the reaction {ital M}+{ital B}{r arrow}{ital M}{prime}+{ital B}{prime}, where {ital M} and {ital M}{prime} are 0{sup {minus}} octet mesons, {ital B} an octet baryon, and {ital B}{prime} an octet or decuplet baryon, have been studied by Karliner and Mattis at the level of partial-wave amplitudes. Using their results, I show that the partial-wave sums for certain combinations of spin amplitudes corresponding to definite spin in the {ital t} channel may be carried out explicitly. It is found that the 30 independent SU(3) amplitudes (14 for the octet and 16 for the decuplet) may be written as linear combinations of only 10 reduced amplitudes. The relations found acquire a particularly simple form when expressed in terms of {ital t}-channel SU(3) amplitudes. A subset of charged-meson elastic-scattering amplitudes may be used to determine seven of the reduced amplitudes; the remaining three correspond to an exotic {ital t} channel in decuplet production and are probably small. The resulting scheme is highly predictive.

• OSTI ID: 5910727
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:3; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
BOSONS
COMPOSITE MODELS
ELASTIC SCATTERING
ELEMENTARY PARTICLES
FIELD THEORIES
FLAVOR MODEL
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
ISOSPIN
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
NUCLEON-NUCLEON POTENTIAL
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PION-NUCLEON INTERACTIONS
POTENTIALS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
SCATTERING
SCATTERING AMPLITUDES
SELECTION RULES
SKYRME POTENTIAL
SPIN
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
T CHANNEL
TWO-BODY PROBLEM