Measurement of the $\hat{I}{½}_{\hat{I}}¼$ charged current quasi-elastic cross-section on carbon with the T2K on-axis neutrino beam

Abstract

We report a measurement of the $\hat{I}{½}_{\hat{I}}¼$ charged current quasi-elastic cross-sections on carbon in the T2K on-axis neutrino beam. The measured charged current quasi-elastic cross-sections on carbon at mean neutrino energies of 1.94 GeV and 0.93 GeV are $(11.95\pm 0.19(stat.{)}_{-1.47}^{+1.82}(syst.))\times 10^{-39}{\mathrm{cm}}^2/\mathrm{neutron}$ and $(10.64\pm 0.37(stat.{)}_{-1.65}^{+2.03}(syst.))\times 10^{-39}{\mathrm{cm}}^2/\mathrm{neutron}$, respectively. These results agree well with the predictions of neutrino interaction models. In addition, we investigated the effects of the nuclear model and the multi-nucleon interaction.

17 pages, 21 figures