Nonlocal potentials and inadequacies of the Jost function in the description of nuclear phenomena
Journal Article
·
· Phys. Rev. C; (United States)
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), Vol. 24:3
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
TWO-BODY PROBLEM
JOST FUNCTION
S MATRIX
BOUND STATE
BOUNDARY CONDITIONS
FREDHOLM EQUATION
MANY-BODY PROBLEM
NONLOCAL POTENTIAL
SCATTERING
SCHROEDINGER EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INTEGRAL EQUATIONS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
WAVE EQUATIONS
653003* - Nuclear Theory- Nuclear Reactions & Scattering
TWO-BODY PROBLEM
JOST FUNCTION
S MATRIX
BOUND STATE
BOUNDARY CONDITIONS
FREDHOLM EQUATION
MANY-BODY PROBLEM
NONLOCAL POTENTIAL
SCATTERING
SCHROEDINGER EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INTEGRAL EQUATIONS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
WAVE EQUATIONS
653003* - Nuclear Theory- Nuclear Reactions & Scattering