Bethe-Salpeter equation for J = 0 nucleon-nucleon scattering with one-boson exchange

Abstract

The Bethe-Salpeter equation is solved numerically for the J = 0 nucleon-nucleon phase shifts by iteration and summation of the perturbation series with Padé approximants. As kernel a superposition of π-, η-, ε-, δ, - and ω-exchange is used, taking completely into account the complications due to the various spin- and positive and negative energy-states. Considerable deviations of our phase shifts from the ones as calculated by means of the Blankenbecler-Sugar equation are found. A reasonable reproduction of the 1S0 and 3P0 phase shifts in the framework of the Bethe-Salpeter equation is obtained by introducing a large ωNN coupling.