The longitudinal and transverse responses in the inclusive electron scattering: a functional approach

Abstract

The splitting between the charge-longitudinal and spin-transverse responses is explained in a model whose inputs are the effective interactions in the particle-hole channels in the frame of the first order boson loop expansion. It is shown that the interplay between $\omega$-meson exchange and box diagrams (two-meson exchange with simultaneous excitation of one or two nucleons to $\Delta$'s) mainly rules the longitudinal response, while in the transverse one the direct $\Delta$ excitations almost cancel the one-loop correction and the response is mainly governed by the $\rho$-meson rescattering inside the nucleus. It is also shown that a small variation in the nuclear densities may explain the observed discrepancies between different nuclei.

LaTex2e file with 53 .ps figures; submitted to Nucl. Phys A

References in corpus (4)

• Parity-Violating Electron Scattering from the Pion-Correlated Relativistic Fermi Gas
• Functional approach to the electromagnetic response function: the Longitudinal Channel
• Variational Methods for Nuclear Systems with Dynamical Mesons
• Path Integral Variational Methods for Strongly Correlated Systems

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