Electron-deuteron scattering in a current-conserving description of relativistic bound states: formalism and impulse approximation calculations
نویسنده
چکیده
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 threedimensional 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.
منابع مشابه
Electron-deuteron scattering in a relativistic theory of hadrons
We review a three-dimensional formalism that provides a systematic way to include relativistic effects including relativistic kinematics, the effects of negativeenergy states, and the boosts of the two-body system in calculations of two-body bound-states. We then explain how to construct a conserved current within this relativistic three-dimensional approach. This general theoretical framework ...
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