Wavelets in Momentum-Space Scattering Calculations

B. M Kessler; G. L Payne; W. N Polyzou

doi:10.48550/arxiv.nucl-th/0308062

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Wavelets in Momentum-Space Scattering Calculations

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Wavelets in Momentum-Space Scattering Calculations

B. M Kessler, G. L Payne and W. N Polyzou

ArXiv.org

Cornell University

08/22/2003

DOI: 10.48550/arxiv.nucl-th/0308062

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We demonstrate that wavelet bases have features that make them advantageous for solving momentum-space scattering integral equations. Using the example of two nucleons interacting with the Malfliet-Tjon V interaction, we show it is possible to reduce the size of the matrix representation of the Lippmann-Scwhinger equation by 96% with a loss of accuracy of only a few parts in a million. We also demonstrate that wavelet methods provide an accurate means for treating the singularities that appear in the scattering integral equations.

Physics - Nuclear Theory

Details

Title: Subtitle: Wavelets in Momentum-Space Scattering Calculations
Creators: B. M Kessler
G. L Payne
W. N Polyzou
Resource Type: Preprint
Publication Details: ArXiv.org
Publisher: Cornell University
DOI: 10.48550/arxiv.nucl-th/0308062
ISSN: 2331-8422
Number of pages: 3
Language: English
Date posted: 08/22/2003
Academic Unit: Physics and Astronomy
Record Identifier: 9984442208002771

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