Separable approximation method for two-body relativistic scattering

Journal Article · Tue Mar 01 04:00:00 EST 1988 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.37.1142· OSTI ID:5330068

Tandy, P C; Thaler, R M

A method for defining a separable approximation to a given interaction within a two-body relativistic equation, such as the Bethe-Salpeter equation, is presented. The rank-N separable representation given here permits exact reproduction of the T matrix on the mass shell and half off the mass shell at N selected bound state and/or continuum values of the invariant mass. The method employed is a four-space generalization of the separable representation developed for Schroedinger interactions by Ernst, Shakin, and Thaler, supplemented by procedures for dealing with the relativistic spin structure in the case of Dirac particles.

• Research Organization: Department of Physics, Kent State University, Kent, Ohio 44242
• OSTI ID: 5330068
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 37:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
BETHE-SALPETER EQUATION
BOUND STATE
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELASTIC SCATTERING
ENERGY DEPENDENCE
ENERGY RANGE
EQUATIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRICES
MATRIX ELEMENTS
NUCLEAR MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
POTENTIAL SCATTERING
PROPAGATOR
RELATIVISTIC RANGE
S MATRIX
SCATTERING
SCHROEDINGER EQUATION
SHELL MODELS
SPIN
TWO-BODY PROBLEM
WAVE EQUATIONS