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

D. R. Phillips·S. J. Wallace·N. K. Devine
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Abstract

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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D. R. Phillips, S. J. Wallace, N. K. Devine. 1998-02-23. Electron-deuteron scattering in a current-conserving description of relativistic bound states: formalism and impulse approximation calculations. https://doi.org/10.1103/physrevc.58.2261

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