Influence of nucleonic motion in Relativistic Fermi Gas inclusive responses.pdf

Influence of nucleonic motion in Relativistic Fermi Gas inclusive responses 1 1 2 1 L. Alvarez-Ruso , M.B. Barbaro , T.W. Donnelly and A. Molinari 0 0 1 0 Dipartimento di Fisica Teorica, Universit`a di Torino and INFN, Sezione di Torino 2 Via P. Giuria 1, 10125 Torino, ITALY l u 2 Center for Theoretical Physics, J Laboratory for Nuclear Science and Department of Physics 6 Massachusetts Institute of Technology, Cambridge, MA 02139, USA 1 1 v 6 3 Abstract 0 7 0 Impulsive hadronic descriptions of electroweak processes in nuclei involve two distinctly dif- 0 ferent elements: one stems from the nuclear many-body physics — the medium — which is rather 0 similar for the various inclusive response functions, and the other embodies the responses of the / h hadrons themselves to the electroweak probe and varies with the channel selected. In this letter t - we investigate within the context of the relativistic Fermi gas in both the quasi-elastic and N → ∆ l c regimes the interplay between these two elements. Specifically, we focus on expansions in the one u small parameter in the problem, namely, the momentum of a nucleon in the initial wave function n : compared with the hadronic scale, the nucleon mass. Both parity-conserving and -violating in- v i clusive responses are studied and the interplay between longitudinal (L) and transverse (T and ′ X T ) contributions is highlighted. r a PACS: 25.30.Rw, 14.20.Gk, 24.10.Jv, 24.30.Gd, 13.40.Gp Keywords: Nuclear reactions; Inclusive el