Wavelets in Momentum-Space Scattering Calculations

Details Wavelets in Momentum-Space Scattering Calculations Wavelets in Momentum-Space Scattering Calculations

2003-08-22

arxiv.org/abs/nucl-th/0308062v1

Physics

Nuclear Physics

Nuclear Theory

3 pages, 2 figures

Scientific paper

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.

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