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

R. Cenni·F. Conte·P. Saracco
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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 $ω$-meson exchange and box diagrams (two-meson exchange with simultaneous excitation of one or two nucleons to $Δ$'s) mainly rules the longitudinal response, while in the transverse one the direct $Δ$ excitations almost cancel the one-loop correction and the response is mainly governed by the $ρ$-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.

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R. Cenni, F. Conte, P. Saracco. 1997-02-11. The longitudinal and transverse responses in the inclusive electron scattering: a functional approach. https://doi.org/10.1016/s0375-9474(97)88421-7

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