Method for scattering equations. II. Iterative solution

Journal Article · Tue Jul 01 04:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.22.28· OSTI ID:5363378

Tomio, L; Adhikari, S K

A recently proposed method for t matrix Lippmann-Schwinger-type equations is reexamined and is investigated numerically. The method relies on the introduction of an auxiliary equation containing an arbitrary function, whose kernel is free from the fixed point singularity of the original equation. In the present work we rewrite the final result of the method in such a way that it has all the important features of a related method by Kowalski and Noyes and is simple to use in practice. With special choices of the arbitrary function the present method can be considered as an off-shell extension of methods of Bolsterli, of Kowalski, and of Sasakawa. The method also readily gives a practical way of calculating K matrix elements. Using the iterative solution of the auxiliary equation, the method is tested numerically to compute off-shell t matrix elements for three commonly used nucleon-nucleon potentials for various choices of the arbitrary function.

• Research Organization: Departamento de Fisica, Universidade Federal de Pernambuco, 50.000 Recife, Pe, Brazil
• OSTI ID: 5363378
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 22:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645500 -- High Energy Physics-- Scattering Theory-- (-1987)
653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCULATION METHODS
EQUATIONS
FUNCTIONS
INTEGRAL EQUATIONS
ITERATIVE METHODS
K MATRIX
LIPPMANN-SCHWINGER EQUATION
MATHEMATICAL MODELS
MATRICES
MATRIX ELEMENTS
NUCLEAR MODELS
NUCLEON-NUCLEON POTENTIAL
NUMERICAL SOLUTION
PHASE SHIFT
POTENTIALS
S MATRIX
SCATTERING
SHELL MODELS
WAVE FUNCTIONS