Inclusive electron scattering within the SuSAv2-MEC approach

TL;DR

This paper advances the relativistic modeling of inclusive electron scattering on carbon by incorporating superscaling, mean field effects, meson-exchange currents, and inelastic contributions, achieving good agreement with experimental data.

Contribution

It introduces an improved SuSAv2-MEC model that includes relativistic mean field effects and extended inelastic spectrum analysis for better data description.

Findings

Good agreement with experimental data across energy ranges

Enhanced transverse scaling function due to mean field effects

Effective inclusion of meson-exchange currents and inelastic processes

Abstract

We present our recent progress on the relativistic modeling of electron-nucleus reactions and compare our predictions with inclusive $^{12}$C ($e,e'$) experimental data in a wide kinematical region. The model, originally based on the superscaling phenomenon shown by electron-nucleus scattering data, has recently been improved through the inclusion of Relativistic Mean Field theory effects that take into account the enhancement of the transverse scaling function compared with its longitudinal counterpart. We also discuss the impact of meson-exchange currents (MEC) through the analysis of two-particle two-hole longitudinal and transverse contributions to electromagnetic response functions evaluated within the framework of the relativistic Fermi gas. The formalism is also extended to include the complete inelastic spectrum -- resonant, non-resonant and deep inelastic scattering (DIS). The results show quite good agreement with data over the whole range of energy transfer, including the dip region between the quasielastic peak and the $\Delta$ resonance.