New Extended Method for Ψ′ Scaling Function of Inclusive Electron Scattering

Scaling analyses have been successfully applied to study the inclusive electron scattering ( e, e′ ) over the past few decades. In this study, we utilize the ψ′ scaling function in momentum space to analyze the ( e, e′ ) cross sections, where the nucleon momentum distributions are derived from self-consistent mean-field calculations. By further introducing the energy and momentum conservation in the scaling analysis, an improved ψ′ scaling function is proposed to investigate the high-momentum part of the momentum distributions. Using the proposed scaling function, we systematically explore the effects of the nucleon-nucleon short-range correlation ( NN -SRC) on the ( e, e′ ) cross sections. From the experimental ( e, e′ ) data, the NN -SRC strength is further extracted within the framework of the improved ψ′ scaling function. The studies in this paper offer a new method to investigate the nucleon momentum distributions and the NN -SRC effects in nuclei.