Wavelet Methods in the Relativistic Three-Body Problem

Details Wavelet Methods in the Relativistic Three-Body Problem Wavelet Methods in the Relativistic Three-Body Problem

2005-07-22

arxiv.org/abs/nucl-th/0507051v2

Phys.Rev. C73 (2006) 024003

Physics

Nuclear Physics

Nuclear Theory

14 pages, 3 figures, corrected reference

Scientific paper

10.1103/PhysRevC.73.024003

In this paper we discuss the use of wavelet bases to solve 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 which does not require any subtractions.

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