Two-body and many-body final state interaction corrections in the nuclear matter response function around the quasielastic peak

Abstract

Abstract The inclusive scattering response function of nuclear matter is studied in the regime of large but non-relativistic momentum transfer q . We review the derivation leading to the complete two-particle final state interaction corrections to the impulse approximation. These are calculated with an eikonal approach and using models that we develop for the two-particle density matrix, which account for spin and isospin degrees of freedom. The two-body part gives comparable results to a many-body approximation with a sizable reduced strength in the response at values q = 550 MeV, and energy transfers ω around and beyond the quasielastic peak, and, with a finite-size approximation involving the nucleus scale, it produces oscillations. These behaviours are in accordance with data from nuclei. Our results resemble those with a hard-core interaction for which strength in the response is shifted to large values of the energy transfer ω.