Abstract.
We show that the use of wavelet bases for solving the momentum-space scattering integral equation leads to sparse matrices which can simplify the solution. Wavelet bases are applied to calculate the K-matrix for nucleon-nucleon scattering with the s-wave Malfliet-Tjon V potential. We introduce a new method, which uses special properties of the wavelets, for evaluating the singular part of the integral. Analysis of this test problem indicates that a significant reduction in computational size can be achieved for realistic few-body scattering problems.
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This work was supported in part by the Department of Energy, Nuclear Physics Division, under contract DE-FG02-86ER40286
Received November 7, 2002; accepted January 18, 2003 Published online June 27, 2003
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Kessler, B., Payne, G. & Polyzou, W. Scattering Calculations with Wavelets. Few-Body-Systems 33, 1–26 (2003). https://doi.org/10.1007/s00601-003-0008-0
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DOI: https://doi.org/10.1007/s00601-003-0008-0