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arXiv · 1308.0966

Bateman method for two-body scattering without partial-wave decomposition

Zeki C. Kuruoglu
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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.

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Zeki C. Kuruoglu. 2013-08-05. Bateman method for two-body scattering without partial-wave decomposition. https://arxiv.org/abs/1308.0966

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