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Wavelet Methods in the Relativistic Three-Body Problem
Journal article   Open access   Peer reviewed

Wavelet Methods in the Relativistic Three-Body Problem

Fatih Bulut and W. N Polyzou
Physical review. C, Nuclear physics, Vol.73(2), 024003
02/27/2006
DOI: 10.1103/PhysRevC.73.024003
url
https://arxiv.org/pdf/nucl-th/0507051View
Open Access

Abstract

We discuss the use of wavelet bases to solve the relativistic three-body problem in momentum space. We address the treatment of the moving singularities that appear in the relativistic three-body problem. Wavelet bases can be used to transform momentum-space scattering integral equations into an approximate system of linear equations with a sparse matrix. This has the potential to reduce the size of realistic three-body calculations with minimal loss of accuracy. The wavelet method leads to a clean interaction-independent treatment of the scattering singularities that does not require any subtractions.
Physics - Nuclear Theory

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