Simple model of pion-nucleon elastic scattering

Journal Article · Fri Aug 01 04:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.22.651· OSTI ID:5238618

Ernst, D J; Johnson, M B

A nonstatic model for elastic pion-nucleon scattering is developed using knowledge of the analytic structure of the scattering amplitude and partial wave N/D dispersion techniques. In S, D, and F partial wave channels the model is equivalent to a separable potential model which includes the coupling to inelastic channels. In P-wave channels the nucleon pole which arises from absorption and emission of the pion is included. A more general model which incorporates both a nucleon pole term and a separable potential term is developed for the P/sub 11/ channel. This model is capable of reproducing the change of sign which is present in the P/sub 11/ phase shifts. The necessary information concerning the coupling of the inelastic scattering to the elastic scattering is taken from the experimentally determined phase shifts as input. If simple kinematic factors are included explicitly, quite simple analytic functions for the form factors in the model are able to reproduce the experimental phase shifts for pion laboratory kinetic energies up to 1.2 GeV. The model produces off-shell behavior which is different from previous models. In particular, the inclusion of the nucleon pole alters substantially the range of the interaction in all P-wave channels.

• Research Organization: Physics Department, Texas AandM University, College Station, Texas 77843
• OSTI ID: 5238618
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 22:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARGED-PARTICLE REACTIONS
COUPLING CONSTANTS
D WAVES
ELASTIC SCATTERING
ENERGY RANGE
F WAVES
FORM FACTORS
GEV RANGE
GEV RANGE 01-10
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
HAMILTONIANS
INELASTIC SCATTERING
INTERACTIONS
MATHEMATICAL OPERATORS
MATRICES
MESON REACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PHASE SHIFT
PION REACTIONS
PION-NUCLEON INTERACTIONS
POTENTIALS
QUANTUM OPERATORS
S MATRIX
S WAVES
SCATTERING