skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
; ;
Publication Date:
Research Org.:
Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242
OSTI Identifier:
6257357
Resource Type:
Journal Article
Journal Name:
Phys. Rev. C; (United States)
Additional Journal Information:
Journal Volume: 30:4
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; THREE-BODY PROBLEM; INTEGRAL EQUATIONS; BOUNDARY CONDITIONS; HAMILTONIANS; KERNELS; QUANTUM MECHANICS; WAVE FUNCTIONS; EQUATIONS; FUNCTIONS; MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; 653003* - Nuclear Theory- Nuclear Reactions & Scattering; 657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics

Citation Formats

Polyzou, W N, Klink, W H, and Payne, G L. Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions. United States: N. p., 1984. Web. doi:10.1103/PhysRevC.30.1140.
Polyzou, W N, Klink, W H, & Payne, G L. Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions. United States. doi:10.1103/PhysRevC.30.1140.
Polyzou, W N, Klink, W H, and Payne, G L. Mon . "Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions". United States. doi:10.1103/PhysRevC.30.1140.
@article{osti_6257357,
title = {Noncompact-kernel integral equation for three-body scattering: Derivation of boundary conditions},
author = {Polyzou, W N and Klink, W H and Payne, G L},
abstractNote = {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.},
doi = {10.1103/PhysRevC.30.1140},
journal = {Phys. Rev. C; (United States)},
number = ,
volume = 30:4,
place = {United States},
year = {1984},
month = {10}
}