Separable potential model for the off-shell. pi. N amplitude

Journal Article · Sat Aug 01 04:00:00 EDT 1981 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.24.605· OSTI ID:6443556

Coronis, C; Landau, R H

A simple model is used to reproduce modern ..pi..N phase shifts in the S, P, D, and F waves for T/sub ..pi../<2 GeV (except P/sub 11/). In these channels a rank one, two-channel separable potential model is used and the inverse scattering problem is solved directly. In the P/sub 11/ channel the phase shifts are fit with a separable t matrix which contains a pole at the nucleon mass and an explicit sign change in the phase shift. This model is intended for use in theories of the low and medium energy pion-nucleus interaction where it supersedes the obsolete LT and LMM potentials. The explicit pole in the P/sub 11/ channel should facilitate the inclusion of pion annihilation into the many body problem.

• Research Organization: Department of Physics, Oregon State University, Corvallis, Oregon 97331
• OSTI ID: 6443556
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 24:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645206 -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
653003* -- Nuclear Theory-- Nuclear Reactions &amp; Scattering
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
ANNIHILATION
BASIC INTERACTIONS
CHARGED-PARTICLE REACTIONS
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ENERGY RANGE
FIELD THEORIES
GEV RANGE
GEV RANGE 01-10
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
INVERSE SCATTERING PROBLEM
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRICES
MESON REACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEAR MODELS
NUCLEAR REACTIONS
OPTICAL MODELS
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
PHASE SHIFT
PION MINUS REACTIONS
PION PLUS REACTIONS
PION REACTIONS
PION-NUCLEON INTERACTIONS
POTENTIAL SCATTERING
S MATRIX
SCATTERING
SCATTERING AMPLITUDES
SHELL MODELS