Role of three-body unitarity in. pi. -N scattering

Journal Article · Sun Feb 01 04:00:00 EST 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.35.737· OSTI ID:6924634

Afnan, I R; Pearce, B C

We consider the amplitude for ..pi..-N scattering within the framework of a Lagrangian of the form suggested by the cloudy bag model with volume coupling. By first exposing two-body, and then three-body unitarity, we derive a set of integral equations that couple the ..pi..N to the ..pi pi..N channel. These equations satisfy two- and three-body unitarity, and can be used to describe ..pi..-N scattering both below and above the threshold for pion production. Below this threshold, the equations have the form of the Lippmann-Schwinger equation with the new feature that in the potential, the vertices in the pole diagram are undressed, while those in the crossed diagram are dressed. This feature allows for the proper description of the P/sub 11/ amplitude.

• Research Organization: School of Physical Sciences, The Flinders University of South Australia, Bedford Park, South Australia 5042, Australia
• OSTI ID: 6924634
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 35:2; ISSN PRVCA
• 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
BAG MODEL
BANACH SPACE
COMPOSITE MODELS
COUPLING CONSTANTS
ENERGY
EQUATIONS
EXTENDED PARTICLE MODEL
HADRON-HADRON INTERACTIONS
HILBERT SPACE
INTEGRAL EQUATIONS
INTERACTIONS
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
PHASE SHIFT
PION-NUCLEON INTERACTIONS
QUARK MODEL
SCATTERING AMPLITUDES
SPACE
THREE-BODY PROBLEM
THRESHOLD ENERGY
TWO-BODY PROBLEM
UNITARITY