Analysis of quasi-elastic neutrino charged-current scattering off ${}^{16}$O and neutrino energy reconstruction

The charged-current quasi-elastic scattering of muon neutrino on the oxygen target is analyzed for neutrino energy up to 2.5 GeV using the Relativistic Distorted-Wave Impulse Approximation (RDWIA). The inclusive cross sections $d^2\sigma \mathrm{/}d{Q}^2$, calculated within the RDWIA, are lower than the Relativistic Fermi Gas Model (RFGM) results in the range of the square of four-momentum transfer $Q^2\le$0.2 (GeV/c)${}^2$. We have also studied the nuclear-model dependence of the neutrino energy reconstruction accuracy using the charged-current quasi-elastic events with no detector effects and background. We found that for one-track events the accuracy is nuclear-model dependent for neutrino energy up to 2.5 GeV.