Superscaling Predictions for Neutral Current Quasielastic Neutrino-Nucleus Scattering

Abstract

The application of superscaling ideas to predict neutral-current (NC) quasielastic (QE) neutrino cross sections is investigated. Results obtained within the relativistic impulse approximation (RIA) using the same relativistic mean field potential (RMF) for both initial and final nucleons -- a model that reproduces the experimental (e,e') scaling function -- are used to illustrate the ideas involved. While NC reactions are not so well suited for scaling analyses, to a large extent the RIA-RMF predictions do exhibit superscaling. Independence of the scaled response on the nuclear species is very well fulfilled. The RIA-RMF NC superscaling function is in good agreement with the experimental (e,e') one. The idea that electroweak processes can be described with a universal scaling function, provided that mild restrictions on the kinematics are assumed, is shown to be valid.

arXiv comment4 pages, 4 figures, published in PRL

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• Neutrino-nucleus interactions and the determination of oscillation parameters
• Relativistic descriptions of inclusive quasielastic electron scattering: application to scaling and superscaling ideas
• Estimate of the theoretical uncertainty of the cross sections for nucleon knockout in neutral-current neutrino-oxygen interactions
• Longitudinal and Transverse Scaling Functions within the Coherent Density Fluctuation Model
• Final-State Interactions in the Superscaling Analysis of Neutral-Current Quasielastic Neutrino Scattering
• Neutral Current Neutrino-Nucleus Scattering. Theory
• Neutral current quasielastic (anti)neutrino scattering beyond the Fermi gas model at MiniBooNE and BNL kinematics
• A Model for BCS-Type Correlations in Superscaling
• Superscaling of non-quasielastic electron-nucleus scattering