Superscaling and Charge-Changing Neutrino Scattering from Nuclei in the $\boldsymbol \Delta$-Region beyond the Relativistic Fermi Gas Model

TL;DR

This paper extends superscaling analysis to predict charge-changing neutrino and antineutrino scattering on carbon nuclei at GeV energies, incorporating the delta excitation region beyond the relativistic Fermi gas model.

Contribution

It introduces an extended superscaling approach using the coherent density fluctuation model for neutrino scattering in the delta region, surpassing the relativistic Fermi gas model.

Findings

Results show differences between models in the delta excitation region.

The extended model aligns better with electron scattering data.

Predictions are provided for neutrino energies from 1 to 2 GeV.

Abstract

The superscaling analysis using the scaling function obtained within the coherent density fluctuation model is extended to calculate charge-changing neutrino and antineutrino scattering on $^{12}$C at energies from 1 to 2 GeV not only in the quasielastic but also in the delta excitation region. The results are compared with those obtained using the scaling functions from the relativistic Fermi gas model and from the superscaling analysis of inclusive scattering of electrons from nuclei.