Superscaling in electroweak excitation of nuclei

Abstract

Superscaling properties of 12C, 16O and 40Ca nuclear responses, induced by electron and neutrino scattering, are studied for momentum transfer values between 300 and 700 MeV/c. We have defined two indexes to have quantitative estimates of the scaling quality. We have analyzed experimental responses to get the empirical values of the two indexes. We have then investigated the effects of finite dimensions, collective excitations, meson exchange currents, short-range correlations and final state interactions. These effects strongly modify the relativistic Fermi gas scaling functions, but they conserve the scaling properties. We used the scaling functions to predict electron and neutrino cross sections and we tested their validity by comparing them with the cross sections obtained with a full calculation. For electron scattering we also made a comparison with data. We have calculated the total charge-exchange neutrino cross sections for neutrino energies up to 300 MeV.

19 pages, 12 figures, 1 table; to be published in Physical Review C

References in corpus (2)

• Superscaling and neutral current quasielastic neutrino-nucleus scattering
• Superscaling analysis of inclusive electron scattering and its extension to charge-changing neutrino-nucleus cross sections beyond the relativistic Fermi gas approach

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• Superscaling and Charge-Changing Neutrino Scattering from Nuclei in the $\mathbf{\Delta }$-Region beyond the Relativistic Fermi Gas Model
• Coherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• Superscaling and Neutral Current Quasielastic Neutrino-Nucleus Scattering beyond the Relativistic Fermi Gas Model
• Incoherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• Superscaling in dilute Fermi gas and its relation to general properties of the nucleon momentum distribution in nuclei
• Longitudinal and Transverse Scaling Functions within the Coherent Density Fluctuation Model
• Superscaling Predictions for Neutral Current Quasielastic Neutrino-Nucleus Scattering
• Final-State Interactions in the Superscaling Analysis of Neutral-Current Quasielastic Neutrino Scattering
• Neutral current quasielastic (anti)neutrino scattering beyond the Fermi gas model at MiniBooNE and BNL kinematics
• Superscaling of non-quasielastic electron-nucleus scattering