Regge Poles with Relativistic Kinematics

Abstract

The partial-wave amplitude in the Blankenbecler-Sugar approximation to the Bethe-Salpeter equation is computed numerically using two different methods. One method applies the Noyes-Kowalski trick of reducing the integral equation to one with a nonsingular kernel. A somewhat simpler method reduces the singular integral equation to a finite matrix equation without rewriting the equation in a nonsingular form. Both methods are used to calculate the partial-wave amplitude and Regge trajectories for a Yukawa potential.