Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions

Journal Article · Mon Oct 01 04:00:00 EDT 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.30.1140· OSTI ID:6257357

Polyzou, W N; Klink, W H; Payne, G L

We derive the necessary boundary conditions required to ensure unique solutions of a new noncompact-kernel integral equation for three-particle scattering. We give an abstract analysis to determine all solutions of this equation. Configuration space boundary conditions are derived to single out the physical solution.

• Research Organization: Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242
• OSTI ID: 6257357
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 30:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUNDARY CONDITIONS
EQUATIONS
FUNCTIONS
HAMILTONIANS
INTEGRAL EQUATIONS
KERNELS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM MECHANICS
QUANTUM OPERATORS
THREE-BODY PROBLEM
WAVE FUNCTIONS