Skyrmions and meson-baryon reactions

Journal Article · Mon Feb 01 04:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.631· OSTI ID:5644618

Donohue, J T

Mattis, using a Skyrmion model for the baryons, has expressed the s-channel isospin partial-wave amplitudes for the reaction phi+B..-->..psi+B', where phi and psi represent arbitrary, nonstrange mesons and B, B' denote either the nucleon or ..delta.., in terms of a set of reduced partial-wave amplitudes. Using the expression proposed by Mattis, I show that if one crosses to t-channel isospin amplitudes, the partial-wave sums may be carried out explicitly. The result is that the spin-projection amplitudes for given I/sub t/ may be written as linear combinations of unknown reduced amplitudes which depend upon the mesons, but not upon whether the pair (B,B') is (N,N), (N,..delta..), or (..delta..,..delta..). There are, in general, fewer reduced amplitudes than spin-projection amplitudes, leading to linear relations among the latter, as well as linear relations among amplitudes involving (N,N), (N,..delta..), and (..delta..,..delta..). From these relations I extract a considerable number of observable consequences, among them the predictions that the ..pi../sup +/p and ..pi../sup -/p elastic-scattering differential cross sections are identical at all energies and angles, that the polarization asymmetries are equal but opposite, and that there is no polarization in ..pi../sup -/p..--> pi../sup 0/n. While these and many other such predictions are not strictly true, the model offers a picture of two-body reactions which often coincides with much of the Regge phenomenology of the recent past.

• Research Organization: Laboratoire de Physique Theorique, Universite de Bordeaux I, 33170 Gradignan, France
• OSTI ID: 5644618
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:3; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANGULAR MOMENTUM
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ELASTIC SCATTERING
FIELD THEORIES
HADRON-HADRON INTERACTIONS
INTERACTIONS
ISOSPIN
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PION MINUS-PROTON INTERACTIONS
PION PLUS-PROTON INTERACTIONS
PION-NUCLEON INTERACTIONS
PION-PROTON INTERACTIONS
POLARIZATION
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUASI PARTICLES
S CHANNEL
SCATTERING
SOLITONS
SPIN
T CHANNEL