Appearance of quark-hadron duality in the Rein-Sehgal model

Physics – High Energy Physics – High Energy Physics - Phenomenology

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4 pages, 7 figures, presented at NuInt05 conference, Okayama, Sept. 26-29, 2005

Scientific paper

10.1016/j.nuclphysbps.2006.08.04

Quark-hadron duality in neutrino-nucleon reactions is investigated under the assumption that cross sections in the resonance region are given by the Rein-Sehgal model. The quantitative analysis of the duality is done by means of appropriate integrals of the structure functions in the Nachtmann variable. We conclude that with the definition of the resonance region $W\in (M+m_{\pi}, 2$ GeV) the duality holds for neutrino-proton reaction $F_2$ structure function for $Q^2\in (0.5, 3)$ GeV$^2$ and it is absent for neutrino-neutron reaction.

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