Skyrmion recoil in pion-nucleon scattering

Journal Article · Sat Aug 01 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.970· OSTI ID:7287037

Hughes, J ^[1]; Mathews, G J ^[2]

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1. Lawrence Livermore National Laboratory, Livermore, California 94551 (United States) Physics Department, University of California at Davis, Davis, California 95616 (United States)
2. Lawrence Livermore National Laboratory, Livermore, California 94551 (United States)

We calculate the lowest-order recoil corrections to the pion-nucleon scattering matrix in the SU(2) Skyrme model. The corrections result from a direct semiclassical evaluation of path-integral expressions for relevant finite-time transition amplitudes. The {ital S} matrix for pion-nucleon scattering is extracted from these amplitudes by using a configuration-space representation for the asymptotic nucleons; the quanta are treated just as in the vacuum sector. The recoil corrections result from the Skyrmion freely translating between initial and final positions, and are relevant to a kinematical regime opposite to that where the impulse approximation is valid. The form of the corrections is model independent, unchanged for any chiral model with hedgehog solitary wave solutions. Remarkably, new lowest-lying resonances emerge in the {ital p} channels, whereas the {ital s} and {ital d} waves are not noticeably improved.

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 7287037
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 46:3; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PION-NUCLEON INTERACTIONS
S MATRIX
CHIRALITY
FEYNMAN PATH INTEGRAL
IMPULSE APPROXIMATION
PERTURBATION THEORY
QUANTIZATION
QUANTUM CHROMODYNAMICS
RECOILS
RENORMALIZATION
SCATTERING
SEMICLASSICAL APPROXIMATION
SKYRME POTENTIAL
SOLITONS
SU-2 GROUPS
FIELD THEORIES
HADRON-HADRON INTERACTIONS
INTEGRALS
INTERACTIONS
LIE GROUPS
MATRICES
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
POTENTIALS
QUANTUM FIELD THEORY
QUASI PARTICLES
SU GROUPS
SYMMETRY GROUPS
662340* - Hadron Interactions- (1992-)
662230 - Quantum Chromodynamics- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)