Superscaling analysis of inclusive electron and (anti)neutrino scattering within the coherent density fluctuation model

TL;DR

This paper develops a superscaling analysis of inclusive electron and (anti)neutrino scattering on carbon using the coherent density fluctuation model, incorporating relativistic effects and two-body currents, achieving good agreement with experimental data.

Contribution

It introduces a new scaling function within the CDFM framework that accounts for relativistic effective mass effects in lepton-nucleus scattering analysis.

Findings

The model accurately reproduces experimental cross sections across a wide energy range.

Inclusion of two-body currents improves the agreement with data.

The approach extends the relativistic Fermi gas model to finite nuclei with relativistic effects.

Abstract

The experimental data from quasielastic electron and (anti)neutrino scattering on $^{12}$C are reanalyzed in terms of a new scaling variable $\psi^*$ suggested by the interacting relativistic Fermi gas with scalar and vector interactions, which is known to generate a relativistic effective mass for the interacting nucleons. We construct a new scaling function $f^\text{QE}(\psi^*)$ for the inclusive lepton scattering from nuclei within the coherent density fluctuation model (CDFM). The latter is a natural extension of the relativistic Fermi gas model to finite nuclei. In this work, on the basis of the scaling function obtained within CDFM with a relativistic effective mass $m_N^* =0.8 m_N$, we calculate and compare the theoretical predictions with a large set of experimental data for inclusive ($e,e'$) and (anti)neutrino cross sections. The model also includes the contribution of weak two-body currents in the two-particle two-hole sector, evaluated within a fully relativistic Fermi gas. Good agreement with experimental data is found over the whole range of electron and (anti)neutrino energies.