Quark--hadron duality in lepton scattering off nuclei

TL;DR

This paper investigates quark-hadron duality in electron and neutrino scattering off nuclei, revealing that global duality holds better than local duality, with nuclear effects varying across resonance and DIS regions.

Contribution

It combines a resonance production model with a relativistic mean-field nuclear model to analyze duality in nuclear structure functions across a range of momentum transfers.

Findings

Global duality holds well in the studied range.

Nuclear effects differ between resonance and DIS regions.

Resonance region strength is lower than DIS in the studied range.

Abstract

A phenomenological study of quark--hadron duality in electron and neutrino scattering on nuclei is performed. We compute the structure functions $F_2$ and $xF_3$ in the resonance region within a framework that includes the Dortmund-group model for the production of the {f}{i}rst four lowest-lying baryonic resonances and a relativistic mean-field model for nuclei. We consider four-momentum transfers between 0.2 and 2.5 GeV$^2$. The results indicate that nuclear effects play a different role in the resonance and DIS region. We find that global but not local duality works well. In the studied range of four-momentum transfers, the integrated strength of the computed nuclear structure functions in the resonance region, is considerably lower than the DIS one.