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arXiv · 2308.06506

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

Lei Wang·Qinglin Niu·Jinjuan Zhang·Jian Liu·Zhongzhou Ren
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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.

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Lei Wang, Qinglin Niu, Jinjuan Zhang, Jian Liu, Zhongzhou Ren. 2023-08-12. New extended method for $\psi^{\prime}$ scaling function of inclusive electron scattering. https://arxiv.org/abs/2308.06506

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