Electromagnetic scaling functions within the Green's Function Monte Carlo approach

Abstract

We have studied the scaling properties of the electromagnetic response functions of ${}^4$He and ${}^{12}$C nuclei computed by the Green's Function Monte Carlo approach, retaining only the one-body current contribution. Longitudinal and transverse scaling functions have been obtained in the relativistic and non relativistic cases and compared to experiment for various kinematics. The characteristic asymmetric shape of the scaling function exhibited by data emerges in the calculations in spite of the non relativistic nature of the model. The results are consistent with scaling of zeroth, first and second kinds. Our analysis reveals a direct correspondence between the scaling and the nucleon-density response functions.

11 pages, 15 figures

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• Constraints in modeling the quasielastic response in inclusive lepton-nucleus scattering
• Electron scattering on $\mathbf{A}=3$ nuclei from quantum Monte Carlo based approaches
• Machine learning-based inversion of nuclear responses
• Relativistic effects in ab-initio electron-nucleus scattering
• Quasielastic Electromagnetic Scattering Cross Sections and World Data Comparisons in the {\fontfamily{qcr}\selectfont GENIE} Monte Carlo Event Generator
• Scaling within the Spectral Function approach
• Summary of Workshop on Common Neutrino Event Generator Tools
• Inclusive electron scattering off ${}^{12}$C, ${}^{40}$Ca, and ${}^{40}$Ar: effects of the meson exchange currents