Superscaling analysis of the Coulomb Sum Rule in quasielastic electron-nucleus scattering

Abstract

The Coulomb sum rule for inclusive quasielastic electron scattering in ${}^{12}$C, ${}^{40}$Ca and ${}^{56}$Fe is analyzed based on scaling and superscaling properties. Results obtained in the relativistic impulse approximation with various descriptions of the final state interactions are shown. A comparison with experimental data measured at Bates and Saclay is provided. The theoretical description based on strong scalar and vector terms present in the relativistic mean field, which has been shown to reproduce the experimental asymmetric superscaling function, leads to results that are in fair agreement with Bates data while it sizeably overestimates Saclay data. We find that the Coulomb sum rule for a momentum transfer $q\ge 500$ $MeV/c$ saturates to a value close to 0.9, being very similar for the three nuclear systems considered. This is in accordance with Bates data, which indicates that these show no significative quenching in the longitudinal response.

22 pages, 6 figures. To be published in Phys. Lett. B

References in corpus (12)

• Inclusive quasi-elastic electron-nucleus scattering
• Extended Superscaling of Electron Scattering from Nuclei
• Nuclear model effects in Charged Current neutrino--nucleus quasielastic scattering
• Superscaling in charged current neutrino quasielastic scattering in the relativistic impulse approximation
• Semi-relativistic description of quasielastic neutrino reactions and superscaling in a continuum shell model
• Relativistic mean field approximation to the analysis of 16O(e,e'p)15N data at |Q^2|\leq 0.4 (GeV/c)^2
• Scaling and isospin effects in quasielastic lepton-nucleus scattering in the Relativistic Mean Field Approach
• Is the Coulomb sum rule violated in nuclei?
• Final-state interactions and superscaling in the semi-relativistic approach to quasielastic electron and neutrino scattering
• Superscaling analysis of inclusive electron scattering and its extension to charge-changing neutrino-nucleus cross sections beyond the relativistic Fermi gas approach
• Relativistic descriptions of inclusive quasielastic electron scattering: application to scaling and superscaling ideas
• A Model for BCS-Type Correlations in Superscaling

Cited by in corpus (10)

• Extensions of Superscaling from Relativistic Mean Field Theory: the SuSAv2 Model
• Relativistic analyses of quasielastic neutrino cross sections at MiniBooNE kinematics
• Relativistic descriptions of final-state interactions in charged-current quasielastic neutrino-nucleus scattering at MiniBooNE kinematics
• Relativistic descriptions of final-state interactions in charged-current quasielastic antineutrino-nucleus scattering at MiniBooNE kinematics
• Relativistic descriptions of final-state interactions in neutral-current neutrino-nucleus scattering at MiniBooNE kinematics
• Elastic and quasi-elastic electron scattering off nuclei with neutron excess
• Relativistic description of final-state interactions in neutral-current neutrino and antineutrino cross sections
• 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
• Relativistic descriptions of final-state interactions in charged-current neutrino-nucleus scattering at ArgoNeuT kinematics
• Contribution of Nuclear Excitation Electromagnetic Form Factors in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ to the Coulomb Sum Rule