Feshbach projection operator method and few-body reaction models in Baer-Kouri-Levin-Tobocman many-body scattering theory

Journal Article · Sat Sep 01 00:00:00 EDT 1979 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.20.904· OSTI ID:5922779

Goldflam, R; Tobocman, W

A generalization of the Feshbach projection operator method to include rearrangement in the context of the Baer, Kouri, Levin, and Tobocman many-body scattering theory has been proposed recently. The formalism provides a simplified set of connected kernal equations for an approximate transition operator matrix and an explicit procedure for relating the approximate transition operators to the exact ones. In this paper we extend the flexibility of the aforementioned generalization by making it possible to allow the approximate transition operators to couple fewer partitions than the exact ones. Particular attention is given to the case where the approximate transition operator matrix is the solution of coupled-reaction-channel--type equations for transitions between few cluster configurations of the system. It is also shown that all the equations derived here have connected kernels after iterations.

• Research Organization: Physics Department, Case Western Reserve University, Cleveland, Ohio 44106
• OSTI ID: 5922779
• Journal Information: Phys. Rev., C; (United States), Vol. 20:3
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MANY-BODY PROBLEM
PROJECTION OPERATORS
CLUSTER MODEL
COUPLED CHANNEL THEORY
EXCHANGE INTERACTIONS
HAMILTONIANS
PARTITION FUNCTIONS
FUNCTIONS
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
QUANTUM OPERATORS
653003* - Nuclear Theory- Nuclear Reactions & Scattering
645500 - High Energy Physics- Scattering Theory- (-1987)