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 ${\mathit{xF}}_{3}$ in the resonance region within a framework that includes the Dortmund-group model for the production of the first four lowest-lying baryonic resonances and a relativistic mean-field model for nuclei. We consider four-momentum transfers between 0.2 and 2.5 ${\mathrm{GeV}}^{2}$. The results indicate that nuclear effects play a different role in the resonance and deep inelastic scattering (DIS) region. We find, that local duality does not work well. In the studied range of four-momentum transfers, the computed nuclear structure functions slide along the DIS curve; the integrated strength in the resonance region, however, is considerably lower than the DIS one.

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