Wavelet methods in the relativistic three-body problem

Bulut F., Polyzou W.

PHYSICAL REVIEW C, vol.73, no.2, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 73 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1103/physrevc.73.024003
  • Journal Name: PHYSICAL REVIEW C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Inonu University Affiliated: No

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.