Relativistic Effects in First Order Three-Body Calculations

ORAL

Abstract

The Faddeev equation for three-body scattering including relativistic features is directly formulated in momentum space without employing the partial wave decomposition. Based on a Malfliet-Tjon-type potential, the observables of three-body scattering are calculated in first order. The relativistic features considered are kinematics and boost effects, and are examined within the frame work of Poincar\'{e} invariant quantum mechanics. Differential cross sections for elastic and break-up scattering are calculated at selected energies up the GeV scale and compared to the corresponding nonrelativistic cross sections.

*Supported by the U.S. Department of Energy.

Authors

  • T. Lin

  • Ch. Elster

    • Ohio University
  • W. Polyzou

    • U. Iowa
  • W. Gloeckle

    • Ruhr-Univ. Bochum