Effect of negative energy components for two-nucleon systems in the relativistic framework with the separable ansatz

Abstract

We investigate the electromagnetic properties of the deuteron such as the charge and magnetic form factors by solving the Bethe-Salpeter equation (BSE) with the separable ansatz. In solving the deuteron bound state solution to the BSE, we include negative energy components of $P$-wave in addition to the ${}^3{S}_1$ and ${}^3{D}_1$ states of positive energy, employing a rank IV separable ansatz. We found that the inclusion of the negative energy components improves systematically the electromagnetic properties which are not described in the conventional non-relativistic impulse approximation.

18 pages, 15 figures