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Title General Tensor Structure for Inclusive and Semi-inclusive Electron Scattering\\ from Polarized Spin-1/2 Targets
Authors Jay Van Orden, Sabine Jeschonnek, T. Donnelly
JLAB number JLAB-THY-21-3499
LANL number arXiv:2109.08767
Other number DOE/OR/23177-5314
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)

Compiled for Annals of Physics
Volume 448
Issue 2023
Page(s) 169174
Publication Abstract: The general structure of semi-inclusive polarized electron scattering from polarized spin-1/2 targets is developed for use at all energy scales, from modest-energy nuclear physics applications to use in very high energy particle physics. The leptonic and hadronic tensors that enter in the formalism are constructed in a general covariant way in terms of kinematic factors that are frame dependent but model independent and invariant response functions which contain all of the model-dependent dynamics. In the process of developing the general problem the relationships to the conventional responses expressed in terms of the helicity components of the exchanged virtual photon are presented. For semi-inclusive electron scattering with polarized electrons and polarized spin-1/2 targets one finds that 18 invariant response functions are required, each depending on four Lorentz scalar invariants. Additionally it is shown how the semi-inclusive cross sections are related via integrations over the momentum of the selected coincidence particle and sums over open channels.
Experiment Numbers: other
Document: pdf
Accepted Manuscript: 2109.08767.pdf
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