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Flux-averaged and flux-integrated cross sections for quasi-elastic neutrinocharged-current scattering on nucleus are analyzed. It is shown that theflux-integrated differential cross sections are nuclear model-independent. Wecalculate these cross sections using the relativistic distorted-wave impulseapproximation and relativistic Fermi gas model with the Booster NeutrinoBeamline flux and compare results with the recent MiniBooNE experiment data.Within these models an axial mass $M_A$ is extracted from a fit of the measured$d\sigma/dQ^2$ cross section. The extracted value of $M_A$ is consistent withthe MiniBooNE result. The measured and calculated double differential crosssections $d\sigma/dTd\cos\theta$ generally agree within the error of theexperiment. But the Fermi gas model predictions are completely off of the datain the region of low muon energies and scattering angles.

Analysis of flux-integrated cross sections for quasi-elastic neutrino charged-current scattering off $^{12}$C at MiniBooNE energies