Nonlocal potentials and inadequacies of the Jost function in the description of nuclear phenomena

Journal Article · Tue Sep 01 04:00:00 EDT 1981 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.24.874· OSTI ID:5985298

Mulligan, B; Qadri, S B

This paper considers the conceptual problem of describing the physics of a many body system in terms of a two body S matrix. Projection of the many body problem onto a two body channel results in a potential which is nonlocal. We demonstrate that for a nonlocal potential the analytic structure of the Jost function differs from that associated with a local potential. Moreover, the Jost function, and thus the S matrix, is shown to be an incomplete description of the information in the two body channel. This is accomplished by considering Fredholm determinants associated with scattering integral equations.

• Research Organization: Department of Physics, The Ohio State University, Columbus, Ohio 43210
• OSTI ID: 5985298
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 24:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUND STATE
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FREDHOLM EQUATION
FUNCTIONS
INTEGRAL EQUATIONS
JOST FUNCTION
MANY-BODY PROBLEM
MATRICES
NONLOCAL POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
S MATRIX
SCATTERING
SCHROEDINGER EQUATION
TWO-BODY PROBLEM
WAVE EQUATIONS