Wavelet methods in the relativistic three-body problem

Bulut F., Polyzou W.

PHYSICAL REVIEW C, cilt.73, sa.2, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1103/physrevc.73.024003
  • Dergi Adı: PHYSICAL REVIEW C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İnönü Üniversitesi Adresli: Hayır

Özet

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.