Electron-deuteron scattering in a current-conserving description of relativistic bound states: formalism and impulse approximation calculations

Details Electron-deuteron scattering in a current-conserving description of relativistic bound states: formalism and impulse approximation calculations Electron-deuteron scattering in a current-conserving description of relativistic bound states: formalism and impulse approximation calculations

1998-02-23

arxiv.org/abs/nucl-th/9802067v1

Phys.Rev.C58:2261-2282,1998

Physics

Nuclear Physics

Nuclear Theory

42 pages, RevTeX

Scientific paper

10.1103/PhysRevC.58.2261

The electromagnetic interactions of a relativistic two-body bound state are formulated in three dimensions using an equal-time (ET) formalism. This involves a systematic reduction of four-dimensional dynamics to a three-dimensional form by integrating out the time components of relative momenta. A conserved electromagnetic current is developed for the ET formalism. It is shown that consistent truncations of the electromagnetic current and the $NN$ interaction kernel may be made, order-by-order in the coupling constants, such that appropriate Ward-Takahashi identities are satisfied. A meson-exchange model of the $NN$ interaction is used to calculate deuteron vertex functions. Calculations of electromagnetic form factors for elastic scattering of electrons by deuterium are performed using an impulse-approximation current. Negative-energy components of the deuteron's vertex function and retardation effects in the meson-exchange interaction are found to have only minor effects on the deuteron form factors.

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