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

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.

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

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Cited by in corpus (11)

• Electron- versus neutrino-nucleus scattering
• RPWIA analysis of dynamical relativistic contributions in ${}^{16}O(\vec{e},e^{\prime }\vec{p})$ reactions
• A$(\vec{e},e^{\prime }\vec{p})$B responses: from bare nucleons to complex nuclei
• Semi-inclusive charged-current neutrino-nucleus cross sections in the relativistic plane wave impulse approximation
• Analysis of polarized ${}^{16}$O$(\vec{e},e^{\prime }\vec{p})$ observables within the relativistic distorted wave impulse approximation
• Semi-relativistic meson exchange currents in (e,e') and (e,e'p) reactions
• Meson Exchange Currents in (e,e'p) recoil polarization observables
• Parity violation in quasielastic electron-nucleus scattering within the relativistic impulse approximation
• Parity violation and dynamical relativistic effects in $(\vec{e},e^{\prime }N)$ reactions
• Final-state interaction and recoil polarization in (e,e'p) reactions: comparison with the polarized target case
• Skewed recoil polarization in (e,e'p) reactions from polarized nuclei