Iterative solution of bound-state equations

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

DOI:https://doi.org/10.1103/PhysRevC.24.1186· OSTI ID:6146179

Adhikari, S K; Tomio, L

A method is proposed for solving bound-state equations in the momentum space, which are homogeneous Fredholm integral equations of the second kind. We rewrite such equations in the form of equivalent inhomogeneous Fredhold integral equations of the second kind with ''weaker'' kernels. Then the usual techniques for solving inhomogeneous integral equations can be used in the present case. A recently proposed method for an iterative Neumann series solution of inhomogeneous equations appears to be natural and very suitable for our purpose. The method is illustrated numerically in the case of the two nucleon bound state with the Yukawa and the Malfliet-Tjon potential and in the case of the s-wave three nucleon bound state in the Mitra-Amado model.

• Research Organization: Departamento de Fisica, Universidade Federal de Pernambuco, 50.000-Recife, Pe., Brazil
• OSTI ID: 6146179
• 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

653001* -- Nuclear Theory-- Nuclear Structure
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653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BINDING ENERGY
BOUND STATE
EIGENFUNCTIONS
ENERGY
EQUATIONS
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
ITERATIVE METHODS
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
POTENTIALS
S WAVES
THREE-BODY PROBLEM
TWO-BODY PROBLEM
WAVE FUNCTIONS
YUKAWA POTENTIAL