Influence of single-particle energy on inclusive electron scattering

Extensive stuides have been carried out over the past decades to explore the impacts of nucleon momentum distributions (NMDs) on the inclusive electron scattering (e, e′) process. Nevertheless, there remains limited research about the effects of the single-particle energy level distributions Es.p.(β) on (e, e′) reaction. For a given nucleus, the Es.p.(β) of different deformations exhibits distinct changes. In this paper, we investigate the influences of the Es.p.(β) of distinct deformations on (e, e′) process. Using the plane-wave impulse approximation method, we calculate the (e, e′) cross sections of different deformed configurations. The corresponding Es.p.(β) and NMDs are obtained from the deformed relativistic mean-field model. It is found that the theoretical (e, e′) cross sections show moderate dependence on the Es.p.(β) of distinct deformations. This is due to the conservation of energy, which restricts the number of nucleons participating in the (e, e′) process of diverse deformed configurations. The studies in this paper can provide useful guides for future lepton-nucleus scattering experiments.