Class of integral equations for the N-particle transition operators

Journal Article · Mon Aug 01 04:00:00 EDT 1977 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.16.564· OSTI ID:7214015

Bencze, G; Tandy, P C

By introducing the concept of a channel coupling scheme, a whole class of integral equations for the N-particle transition operators is constructed. This class is sufficiently general to allow a variety of connected kernel formulations. The coupling schemes leading to both the Kouri-Levin-Tobocman equations and the Bencze-Redish equations are given. The general class is shown to be free of spurious bound state solutions. We show that the coupling scheme must include at least every open two-cluster channel to ensure unique scattering solutions. Equivalence with the Schroedinger equation is not maintained in equations governed by iterated kernels of the channel coupling class. The Weinberg kernel follows as a special case after one iteration, and spurious N-particle bound state solutions are shown to derive from this structure.

• Research Organization: Central Research Institute for Physics, 1525 Budapest 114, POB 49, Hungary
• OSTI ID: 7214015
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 16:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COUPLED CHANNEL THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INTEGRAL EQUATIONS
KERNELS
MANY-BODY PROBLEM
SCHROEDINGER EQUATION
WAVE EQUATIONS
WAVE FUNCTIONS