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

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.Comment: 4 pages, 7 figures, presented at NuInt05 conference, Okayama, Sept. 26-29, 200

Monte Carlo event generation of neutrino-electron scattering

We introduce an extension of the NuWro Monte Carlo neutrino event generator for the neutrino-electron scattering processes. This new dynamical channel includes the charged current and neutral current interactions, as well as their interference, for $\nu_l e \rightarrow \nu_l e$, $\nu_l e \rightarrow \nu_e l$, $\bar\nu_l e \rightarrow \bar\nu_l e$, and $\bar\nu_l e \rightarrow \bar\nu_e l$ reactions ($l = e, \mu, \tau$), resulting in ten possible final states. We illustrate the performance of the new functionality on various physical examples, including estimation of the background in the Super-Kamiokande $\nu_\mu \rightarrow \nu_e$ oscillation experiment. We show that the background events occupy a distinct region of the phase space and can be easily isolated.Comment: 14 pages, 9 figure