Relativistic Contributions to One-Body and Two-Body Electromagnetic Current Operators in D(e,e'p) Reactions

We reproduce the results from a study [1] of the non-relativistic reduction of the one-body portion of the electromagnetic current operator, and then extend this approach to pieces of the two-body current. The traditional approach to this problem has been to make approximations for the transferred energy, transferred momentum, and initial momentum of the struck nucleon in order to obtain an on-shell, positive-energy form for the current operator. In [1], the transferred energy and momentum were treated exactly, leaving only an expansion in the initial momentum of the struck nucleon. Here, we extend this approach to two-body current pieces in exclusive electron scattering from the deuteron, following [2]. We discuss the numerical relevance of the relativistic effects in D(e,e'p) reactions for different kinematics.