Quark-hadron duality in lepton scattering off nucleons

TL;DR

This paper investigates quark-hadron duality in lepton-nucleon scattering using a resonance quark model, showing duality for neutrino scattering structure functions and demonstrating its utility in modeling resonance region structure functions.

Contribution

It demonstrates that quark-hadron duality holds for neutrino scattering structure functions and shows how to use duality to model resonance region structure functions.

Findings

Duality observed for charged and neutral current structure functions in neutrino scattering.

Duality can be used to model resonance region structure functions.

Relativistic quark model combined with duality predicts inclusive resonance $F_2^{ep}$ structure function.

Abstract

Quark-hadron (QH) duality in lepton scattering off nucleons is studied with the resonance quark model. It is shown that in the case of neutrino scattering off an isoscalar target the duality is simultaneously observed for charged and neutral currents $xF_1^{\nu N}$, $F_2^{\nu N}$, and $xF_3^{\nu N}$ weak structure functions. We demonstrate that the QH duality can be useful property for modeling structure functions in the so-called resonance region. As an example it is shown that combining relativistic quark model predictions with duality arguments allows a construction of the inclusive resonance $F_2^{ep}$ structure function.