Bateman method for two-body scattering without partial-wave decomposition
Computational Physics
2013-12-17 v2 Nuclear Theory
Chemical Physics
Abstract
The use of Bateman method for solving the two-variable version of the Lippmann-Schwinger equation without recourse to partial-wave decomposition is investigated. Bateman method is based on a special kind of interpolation of the momentum representation of the potential on a multi-variate grid. A suitable scheme for the generation of a multi-variate Cartesian grid is described. The method is tested in the nucleon-nucleon scattering employing a model two-nucleon potential. Our results show that the Bateman method is capable of producing quite accurate solutions with relatively small number of grid points.
Cite
@article{arxiv.1308.0966,
title = {Bateman method for two-body scattering without partial-wave decomposition},
author = {Zeki C. Kuruoglu},
journal= {arXiv preprint arXiv:1308.0966},
year = {2013}
}
Comments
12 pages, 4 tables