Measurement of the $ u_{mu}$ charged current quasi-elastic cross-section on carbon with the T2K on-axis neutrino beam

We report a measurement of the $ u_mu$ 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 $(11.95pm 0.19(stat.)_{-1.47}^{+1.82} (syst.))times 10^{-39}mathrm{cm}^2/mathrm{neutron}$ and $(10.64pm 0.37(stat.)_{-1.65}^{+2.03} (syst.))times 10^{-39}mathrm{cm}^2/mathrm{neutron}$, 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.