Relativistic Quasipotential Approaches and Electromagnetic Form Factors of the Deuteron
Quasipotential approaches involve a reduction of four-dimensional dynamics to three dimensions by use of constraints on the relative momenta of particles. They provide covariant forms of dynamics which in principle are equivalent to the four-dimensional dynamics. For each quasipotential reduction it is necessary to define appropriate electromagnetic current operators, which differ from those appropriate to the four-dimensional formalism. Because elastic form factors generally are analyzed in the Breit frame, using wave functions determined in the rest frame of the bound system, it is necessary to have appropriate Lorentz boosts for the three-dimensional dynamics. Several choices for the quasipotential constraint and their implications for electromagnetic scattering from relativistic bound states are reviewed. An ‘instant’formalism is presented which has desirable features, such as a conserved electromagnetic current operator and no singularities in the quasipotential. Calculations for elastic electron scattering from the deuteron demonstrate the significance of the relativistic effects and meson-exchange currents.
KeywordsRest Frame Vertex Function Impulse Approximation Magnetic Form Factor Impulse Current
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