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

2013/08/05 by Zeki C. Kuruoğlu, Zeki C. Kuruoglu, Kuruoglu, Zeki C.
Earth and Planetary Sciences · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Nuclear Theory (nucl-th) #Seismic Imaging and Inversion Techniques #nucl-th #physics.chem-ph #physics.comp-ph

paper · pdf · doi:10.48550/arxiv.1308.0966

12 pages, 4 tables

openalex publication_date 2013/08/05 · arxiv created 2013/12/15 · arxiv updated 2013/12/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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