Inclusive quasielastic electron scattering on ${}^6$He: a probe of the halo structure

Abstract

We investigate inclusive electron scattering reactions on two-neutron halo nuclei in the quasielastic region. Expressions for the cross section and structure functions are given assuming that the halo nucleus can be described as a three-body system ($core+n+n$). The method is applied to ${}^6$He. We compute cross sections and structure functions, and investigate the kinematic conditions for which the observables are determined either by $\alpha$-knockout or by halo neutron-knockout. The optimal kinematical domain to disantangle the momentum distributions of the various components of the three--body system ($q\lesssim 200$ MeV/c and $\omega <q^2/2M_N+20$ MeV) are explored.

10 pages, 3 figures. Physics Letters B, in press