The Relativistic Few-Body Problem

  • F. C. Khanna
  • X. Q. Zhu
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 5)


Several three-dimensional reductions of the Bethe-Salpeter equation, for relativistic two-body problem obtained by a partial summation of the covariant perturbation series, have been considered. A one-time Bethe-Salpeter equation is constructed. Equations due to Blankenbecler and Sugar and Gross appear as approximations to the one-time equation. The one-time formalism is used to study the N-N scattering at high energies. Results for various approximation schemes are compared. Extension of the one-time formalism to a system with more than two particles is possible.


Faddeev Equation Partial Summation Feynman Propagator High Momentum Component Free Dirac Operator 
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Copyright information

© Springer-Verlag Wien 1992

Authors and Affiliations

  • F. C. Khanna
    • 1
    • 2
  • X. Q. Zhu
    • 1
    • 2
  1. 1.Theoretical Physics InstituteUniversity of AlbertaEdmonton, AlbertaCanada
  2. 2.TRIUMFVancouverCanada

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