Scaling analyses have been successfully applied to study the inclusive electron scattering $(\textit{ e}, \textit{ e}^{ \prime})$ over the past few decades. In this paper, we utilize the $\psi^{ \prime}$ scaling function in momentum space to analyze the $(\textit{ e}, \textit{ e}^{ \prime})$ 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 $\psi^{ \prime}$ 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 ($\textit{ NN}$-SRC) on the $(\textit{ e}, \textit{ e}^{ \prime})$ cross sections. From the experimental $(\textit{ e}, \textit{ e}^{ \prime})$ data, the \textit{ NN}-SRC strength is further extracted within the framework of the improved $\psi^{ \prime}$ scaling function. The studies in this paper offer a new method to investigate the nucleon momentum distributions and the $\textit{ NN}$-SRC effects in nuclei.
Categories: nucl-th