The 1S 0 Phase Shift of the Nucleon-Nucleon Scattering by the Nambu-Salpeter-Bethe Equation

Abstract

The Nambu-Salpeter-Bethe equation in the pion-ladder approximation for the ¹S₀ state of the nucleon-nucleon scattering is solved numerically. In this calculation, we neglect the contribution from the negative energy amplitudes in the elastic energy region. The results obtained here agree qualitatively with, but are quantitatively different from the corresponding 3-dimensional calculation. This difference is caused by our full counting of the retardation effect which is treated incompletely in the 3-dimensional calculation.