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Test of the coupled-equations many-body scattering formalism on a soluble three-body model

Journal Article · · Phys. Rev., C; (United States)
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Several versions of the coupled-equations many-body scattering formalism of Baer, Kouri, Levin, and Tobocman were tested on the generalized Hulbert-Hirschfelder three-body scattering model. In this model two s-wave particles interact with an infinite mass scattering center via square well potential forces and with each other via a square well nonlocal force active only in the vicinity of the scattering center. The model exhibits elastic and inelastic scattering, knockout reactions, and knockout with excitation reactions. A convergent level expansion for the collision matrix is provided by wave function matching at the interaction boundaries. This result is compared with N-level solutions of the Baer-Kouri and Kouri-Levin versions of the coupled-equations formalism. Kouri-Levin works well for all cases tested while Baer-Kouri works well only for a particular class of cases. When the two particles are treated as indistinguishable fermions, tests may be made of the antisymmetrized forms of the coupled-equations formalism. These proved to be satisfactory. Finally the single cluster approximation to the antisymmetrized Kouri-Levin coupled-equations formalism was tested along with the resonating group method, and both were found to work very poorly for this model.

Research Organization:
Case Western Reserve University, Physics Department, Cleveland, Ohio 44106
OSTI ID:
7074988
Journal Information:
Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 17:2; ISSN PRVCA
Country of Publication:
United States
Language:
English

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Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COUPLED CHANNEL THEORY
FERMIONS
FUNCTIONS
HAMILTONIANS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
NUCLEAR POTENTIAL
PARTIAL WAVES
QUANTUM OPERATORS
RESONATING-GROUP METHOD
S WAVES
SQUARE-WELL POTENTIAL
THREE-BODY PROBLEM
VARIATIONAL METHODS
WAVE FUNCTIONS