Influence of nucleonic motion in Relativistic Fermi Gas inclusive responses

Abstract

Impulsive hadronic descriptions of electroweak processes in nuclei involve two distinctly different elements: one stems from the nuclear many-body physics --- the medium --- which is rather similar for the various inclusive response functions, and the other embodies the responses of the hadrons themselves to the electroweak probe and varies with the channel selected. In this letter we investigate within the context of the relativistic Fermi gas in both the quasi-elastic and $N\to \Delta$ regimes the interplay between these two elements. Specifically, we focus on expansions in the one small parameter in the problem, namely, the momentum of a nucleon in the initial wave function compared with the hadronic scale, the nucleon mass. Both parity-conserving and -violating inclusive responses are studied and the interplay between longitudinal ($L$) and transverse ($T$ and $T^{\prime }$) contributions is highlighted.

11 pages, 1 figure

References in corpus (5)

• Superscaling of Inclusive Electron Scattering from Nuclei
• Relativistic y-scaling and the Coulomb sum rule in nuclei
• Relativistic Effects in the Electromagnetic Current at GeV Energies
• Relativistic Effects in Electromagnetic Meson-Exchange Currents for One-Particle Emission Reactions
• Relativistic effects in electromagnetic nuclear responses in the quasi-elastic delta region

Cited by in corpus (7)

• Gauge and Lorentz invariant one-pion exchange currents in electron scattering from a relativistic Fermi gas
• Semi-relativistic description of quasielastic neutrino reactions and superscaling in a continuum shell model
• Inelastic electron-nucleus scattering and scaling at high inelasticity
• Delta-isobar relativistic meson exchange currents in quasielastic electron scattering
• Relativistic pionic effects in quasielastic electron scattering
• Nuclear response functions for the N-N*(1440) transition
• The generalised relativistic Lindhard functions