Application of Analyticity Properties to the Numerical Solution of the Bethe-Salpeter Equation

Publisher Website
Google Scholar
Abstract
A new method of calculating phase shifts from the Bethe-Salpeter equation is presented. The differential equation is solved below threshold by using a variational method, and then the scattering amplitude is continued to the physical-scattering region, using Padé approximants. The singularity structure of the Bethe-Salpeter partial-wave amplitude in its off-shell variables was studied to find the nearby singularities that could most strongly affect the continuation.