New extended method for $\psi^{\prime}$ scaling function of inclusive electron scattering

TL;DR

This paper introduces an improved $a8^{b4}$ scaling function incorporating energy and momentum conservation, enabling better analysis of nucleon momentum distributions and short-range correlations in nuclei from electron scattering data.

Contribution

The paper presents a novel extended $a8^{b4}$ scaling function that accounts for conservation laws, enhancing the analysis of high-momentum nucleons and short-range correlations in nuclei.

Findings

The improved scaling function better describes high-momentum components.

Nucleon-nucleon short-range correlation strength is quantitatively extracted.

The method provides new insights into nucleon momentum distributions.

Abstract

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.