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Kinematical relativistic effects in $(\vec{e},e'\vec{N})$ reactions

M. C. Martínez·J. A. Caballero·T. W. Donnelly
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Abstract

Kinematical relativistic effects are analyzed within the plane-wave impulse approximation for outgoing nucleon polarized responses in coincidence electron scattering. Following recent approaches for non-relativistic reductions of the electromagnetic current operator, here an exact treatment of the problem for the transferred energy and momentum is presented. Rather than employing existing non-relativistic expressions for the single-nucleon matrix elements, in this work the response functions are expanded directly. Results are compared for different kinematical situations with the fully-relativistic PWIA calculation as well as with previous non-relativistic expansions. Off- and `on-shell' prescriptions are also studied in detail, and a systematic analysis of the various kinematical variables involved in the process is presented.

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M. C. Martínez, J. A. Caballero, T. W. Donnelly. 2002-04-05. Kinematical relativistic effects in $(\vec{e},e'\vec{N})$ reactions. https://doi.org/10.1016/s0375-9474(02)00879-5

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