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Complex Kohn variational principle for the solution of Lippmann-Schwinger equations

Technical Report:

Abstract

A recently proposed version of the Kohn variational principle for the t matrix incorporating the correct boundary condition is applied for the first time to the study of nucleon-nucleon scattering. Analytic expressions can be obtained for all the integrals in the method for a wide class of potentials and for a suitable choice of trial functions. Closed-form analytic expressions for these integrals are given for Yakawa and exponential potentials. Calculations with two commonly used S-wave nucleon-nucleon potentials show that the method may converge faster than other solution schemes not only for the phase-shifts but also for the off-shell t matrix elements if the freedom in the choice of the trial function is exploited. (author).
Authors:
Publication Date:
Jul 01, 1992
Product Type:
Technical Report
Report Number:
IFT-P-028/92
Reference Number:
SCA: 662110; PA: AIX-24:003285; SN: 93000913735
Resource Relation:
Other Information: PBD: Jul 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LIPPMANN-SCHWINGER EQUATION; VARIATIONAL METHODS; BOUNDARY CONDITIONS; MATRICES; NUCLEON-NUCLEON INTERACTIONS; SCATTERING; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10109031
Research Organizations:
Instituto de Fisica Teorica (IFT), Sao Paulo, SP (Brazil)
Country of Origin:
Brazil
Language:
English
Other Identifying Numbers:
Other: ON: DE93609885; TRN: BR9230413003285
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[15] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Adhikari, S K. Complex Kohn variational principle for the solution of Lippmann-Schwinger equations. Brazil: N. p., 1992. Web.
Adhikari, S K. Complex Kohn variational principle for the solution of Lippmann-Schwinger equations. Brazil.
Adhikari, S K. 1992. "Complex Kohn variational principle for the solution of Lippmann-Schwinger equations." Brazil.
@misc{etde_10109031,
title = {Complex Kohn variational principle for the solution of Lippmann-Schwinger equations}
author = {Adhikari, S K}
abstractNote = {A recently proposed version of the Kohn variational principle for the t matrix incorporating the correct boundary condition is applied for the first time to the study of nucleon-nucleon scattering. Analytic expressions can be obtained for all the integrals in the method for a wide class of potentials and for a suitable choice of trial functions. Closed-form analytic expressions for these integrals are given for Yakawa and exponential potentials. Calculations with two commonly used S-wave nucleon-nucleon potentials show that the method may converge faster than other solution schemes not only for the phase-shifts but also for the off-shell t matrix elements if the freedom in the choice of the trial function is exploited. (author).}
place = {Brazil}
year = {1992}
month = {Jul}
}