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Polarization in Lepton-Induced Relations

Authors: T. W. Donnelly;

Polarization in Lepton-Induced Relations

Abstract

These lecture notes are organized in the following way: in Sec. II the nature of the leptonic tensor is reviewed (see also Ref. [1]) and extensions to include both incident and scattered electron polarizations incorporated. The general problem was treated in Ref. [2] — here I have chosen to present some new results for the leptonic polarization transfer process. In Sec. III the nature of the hadronic tensor and the electromagnetic hadronic (nuclear) response functions for single-arm, inclusive electron scattering are discussed. Recent work on the inclusive process \( A(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {e} ,\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {e} ') \) is summarized after repeating the familiar arguments leading to the unpolarized inclusive electron scattering cross section. The subject of inclusive scattering from polarized targets, on the other hand, is not discussed in these lectures and the reader is directed to Ref. [2] for detailed treatment of those ideas. In Sec. IV the concepts involved in two-arm coincidence electron scattering are introduced from a general perspective. The relevant kinematics are treated in some detail and connections are made with inclusive electron scattering — the latter are especially important in circumstances where inclusive electron scattering in the quasielastic region is being studied. Following these general considerations, in Sec. V a specific simple model is discussed, namely the polarized plane-wave impulse approximation (PWIA), to provide a tool for treating the two-arm coincidence electron scattering of polarized electrons from polarized targets in the quasielastic region (the general formalism for such studies is presented in Ref. [3]). After introducing the model and briefly revisiting inclusive scattering, a few selected examples of polarized two-arm coincidence scattering are presented. The lectures conclude with a brief discussion of multi-particle coincidence electron scattering in Sec. VI and finally a summary of the material presented in these lectures is given in Sec. VII.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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