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International Journal of Theoretical Physics

, Volume 23, Issue 3, pp 251–294 | Cite as

Polarized electron scattering on spin zero and polarized spin-1/2 targets: Deep inelastic scattering, elastic electron-muon scattering, and elastic electron-nucleon scattering

  • Theodore Garavaglia
Article

Abstract

A covariant formulation is developed and used to derive cross sections for the analysis of experiments in which polarized electrons (muons) are scattered from spin-zero and from polarized spin-1/2 targets. The analysis is based upon the single virtual photon representation of the electromagnetic interaction, initially, neither high-energy nor low-energy approximations are made so that one may derive results in which the orientation of the polarization vectors of the interacting particles changes as a result of the scattering. The general formulation is valid for all polarization configurations for the electron and nucleon in deep inelastic scattering, and for all polarization configurations for the initial and final state particles in elastic scattering. From the general covariant results, specific cross sections are derived for deep inelastic scattering as well as elastic scattering of electrons on muons, nucleons, and spin zero targets. In the latter case, the actual polarization vector for the scattered electron is determined. In the other cases discussed, this vector may be obtained from the cross sections. In addition, a method is presented for defining covariant cross sections, and this method is used to obtain results in the center-of-mass system as well as the laboratory system. Furthermore, explicit cross sections for virtual photon absorption are derived. Finally, in the appendices, an alternative method for the evaluation of traces is given as well as a discussion of the relativistic limit.

Keywords

Elastic Scattering Polarization Vector Deep Inelastic Scattering Virtual Photon Actual Polarization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • Theodore Garavaglia
    • 1
    • 2
  1. 1.InstitiÚid Teichneolaíochta Bhaile átha Cliathéire
  2. 2.InstitiÚid árd-Léighinn Bhaile átha Cliath 4éireIreland

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