Gauge and Lorentz invariant one-pion exchange currents in electron scattering from a relativistic Fermi gas

Abstract

A consistent analysis of relativistic pionic correlations and meson-exchange currents for electroweak quasielastic electron scattering from nuclei is carried out. Fully-relativistic one-pion-exchange electromagnetic operators are developed for use in one-particle emission electronuclear reactions within the context of the relativistic Fermi gas model. Then the exchange and pionic correlation currents are set up fully respecting the gauge invariance of the theory. Emphasis is placed on the self-energy current which, being infinite, needs to be renormalized. This is achieved starting in the Hartree-Fock framework and then expanding the Hartree-Fock current to first order in the square of the pion coupling constant to obtain a truly, gauge invariant, one-pion-exchange current. The model is applied to the calculation of the parity-conserving (PC) and parity-violating (PV) inclusive responses of nuclei. Interestingly, in the pionic correlations terms exist which arise uniquely from relativity, although their impact on the responses is found to be modest.

109 pages, 34 figures. Submitted to Physics Reports

References in corpus (8)

• Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei
• Extended Superscaling of Electron Scattering from Nuclei
• Quark-Hadron Duality in Structure Functions
• Coulomb Distortion Effects for Electron or Positron Induced $(e,e^{\prime })$ Reactions in the Quasielastic Region
• Relativistic pionic effects in quasielastic electron scattering
• Effects of Short-Range Correlations in (e,e'p) reactions and nuclear overlap functions
• Relativistic approaches to structure functions of nuclei
• Electron helicity-dependence in (e,e'p) reactions with polarized nuclei and the fifth response function

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