Relativistic Two-Body Bound-State Calculations Beyond the Ladder Approximation

Abstract

In this work the Feynman-Schwinger representation for the two-body Greens function is studied. After having given a brief introduction to the formalism, we report on the first calculations based on this formalism. In order to demonstrate the validity of the method, we consider the static case where the mass of one of the particles becomes very large. We show that the heavy particle follows a classical trajectory and we find a good agreement with the Klein-Gordon result.

Comments: 4 pages LaTeX and 2 uuencoded figures in PostScript; requires epsf.sty. Contributed talk at `Few Body XIV', August 23-27 1993, Amsterdam, Netherlands. Utrecht preprint THU-93/21