Multichannel scattering with nonlocal and confining potentials. I. General theory

Journal Article · Wed Jan 01 04:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.45.418· OSTI ID:5082507

Vidal, F; LeTourneux, J ^[1]

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1. Laboratoire de Physique Nucleaire, Universite de Montreal, Case Postale 6128, Succ. A, Montreal, Quebec, H3C 3J7 (Canada)

A general discussion of nonrelativistic multichannel scattering for nonlocal potentials is presented. The approach is based on the extensive use of the Fredholm determinants that are associated with the integral equations occurring at various points of the theory. Special attention is paid to situations where confining potentials are present, as in nonrelativistic quark models of hadron-hadron interactions. Some standard results of multichannel scattering theory for local potentials and one-channel theory for nonlocal ones are generalized in this context, including Levinson's theorem.

• OSTI ID: 5082507
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 45:1; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

663300* -- Nuclear Reactions & Scattering
General-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPOSITE MODELS
COUPLED CHANNEL THEORY
EQUATIONS
FREDHOLM EQUATION
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
MATHEMATICAL MODELS
NONLOCAL POTENTIAL
NUCLEAR POTENTIAL
PARTICLE INTERACTIONS
PARTICLE MODELS
POTENTIALS
QUARK MODEL