Quark--hadron duality in lepton scattering off nuclei

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.