Wavelets in Momentum-Space Scattering Calculations
B. M. Kessler, G. L. Payne, W. N. Polyzou
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.
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