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

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

2002-01-03

arxiv.org/abs/nucl-th/0201004v2

Nucl.Phys. A707 (2002) 121-160

Physics

Nuclear Physics

Nuclear Theory

Revised version, 45 pages, 16 figures, accepted in Nucl. Phys. A

Scientific paper

10.1016/S0375-9474(02)00879-5

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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