Extraction of the Coulomb Sum Rule, Transverse Enhancement, and Longitudinal Quenching from an Analysis of all Available e-${}^{12}$C and e-${}^{16}$O Cross Section Data

Abstract

We report on a phenomenological analysis of all available electron scattering data on ${}^{12}\mathrm{C}$ (about 6600 differential cross section measurements) and on ${}^{16}\mathrm{O}$ (about 250 measurements) within the framework of the quasielastic (QE) superscaling model (including Pauli blocking). All QE and inelastic cross section measurements are included down to the lowest momentum transfer $\mathbf{q}$ (including photo-production data). We find that there is enhancement of the transverse QE response function ($R_T^{QE}$) and quenching of the QE longitudinal response function ($R_L^{QE}$) at low $\mathbf{q}$ (in addition to Pauli blocking). We extract parameterizations of a $multiplicative$ low $\mathbf{q}$ "Longitudinal Quenching Factor" and an $additive$ "Transverse Enhancement" contribution. Additionally, we find that the excitation of nuclear states contribute significantly (up to 30\%) to the Coulomb Sum Rule $SL(\mathbf{q})$. We extract the most accurate determination of $SL(\mathbf{q})$ to date and find it to be in reasonable agreement with recent theoretical calculations.

9 pages, 7 figures, revised version accepted for publication in Phys. Rev. D (letter)

References in corpus (6)

• Inclusive quasi-elastic electron-nucleus scattering
• Vector and Axial Nucleon Form Factors:A Duality Constrained Parameterization
• Empirical Fit to Inelastic Electron-Deuteron and Electron-Neutron Resonance Region Transverse Cross Sections
• First Measurement of Differential Charged Current Quasielastic-like ${\nu }_{\mu }$-Argon Scattering Cross Sections with the MicroBooNE Detector
• Impact of low-energy nuclear excitations on neutrino-nucleus scattering at MiniBooNE and T2K kinematics
• Coulomb sum rule for ${}^4$He and ${}^{16}$O from coupled-cluster theory

Cited by in corpus (6)

• Meson-exchange currents in quasielastic electron scattering in a generalized superscaling approach
• Contribution of Nuclear Excitation Electromagnetic Form Factors in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ to the Coulomb Sum Rule
• Improved superscaling description of electron and charged-current neutrino quasielastic scattering using effective mass dynamics
• Re-optimization of a deep neural network model for electron-carbon scattering using new experimental data
• Parameterizations of Electron Scattering Form Factors for Elastic Scattering and Electro-Excitation of Nuclear States for ${}^{27}\mathrm{Al}$ and ${}^{40}\mathrm{Ca}$
• Investigation of Medium Modifications to ${}^{12}$C Structure Functions in the Resonance Region