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Author Sawyer, R. F.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ BEHAVIOR ♦ BETHE-SALPETER EQUATION ♦ CONFIGURATION ♦ COUPLING ♦ DIRAC EQUATIONS ♦ ENERGY ♦ FERMIONS ♦ FIELD THEORY ♦ FOURIER ANALYSIS ♦ GREEN FUNCTION ♦ INTERACTIONS ♦ MASS ♦ MATHEMATICS ♦ OSCILLATIONS ♦ PARTICLE MODELS ♦ PARTICLES ♦ QUANTUM MECHANICS ♦ RELATIVITY THEORY ♦ SCATTERING ♦ SCATTERING AMPLITUDE
Abstract Bethe-Salpeter equations for the scattering Green's functions are discussed in some nonrenormalizable models. The models involve the multiple exchanges of pairs of Dirac particles, coupled to the scattering particles by a fourFermi interaction. The Green's function is constructed from a Bethe-Salpeter scattering wave function. For certain forms of coupling the forces are repulsive at short distances and analogous to potentials in a nonrelntivistic scattering problem that behave as r/sup -6/ at the origin. In these cases there is a unique, well defined, and Fourier transformable solution for the Green's function in space-time; and the scattering amplitude exists. A class of terms corresponding to delta-function potentials may be included in the interaction kernel without changing the solution. In a case with zero-mass particles and zero total energy an exact solution for the scattering amplitude is obtained. (auth)
ISSN 0031899X
Educational Use Research
Learning Resource Type Article
Publisher Date 1964-04-27
Publisher Department Univ. of Wisconsin, Madison
Journal Physical Review
Volume Number 134
Organization Univ. of Wisconsin, Madison


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