Scattering Calculations with Wavelets

Details Scattering Calculations with Wavelets Scattering Calculations with Wavelets

2002-11-06

arxiv.org/abs/nucl-th/0211016v1

Few Body Syst. 33 (2003) 1-26

Physics

Nuclear Physics

Nuclear Theory

26 pages, Latex, 6 eps figures

Scientific paper

10.1007/s00601-003-0008-0

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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