| Abstract: | The Charged-Current Quasi-Elastic (CCQE) interaction, $
u_{l} + n
ightarrow l^{-} + p$, is the dominant CC process at $E_
u sim 1$ GeV and
contributes to the signal in accelerator-based long-baseline neutrino
oscillation experiments operating at intermediate neutrino energies. This paper
reports a measurement by the T2K experiment of the $
u_{mu}$ CCQE cross
section on a carbon target with the off-axis detector based on the observed
distribution of muon momentum ($p_mu$) and angle with respect to the incident
neutrino beam ($ heta_mu$). The flux-integrated CCQE cross section was
measured to be $(0.83 pm 0.12) imes 10^{-38} extrm{ cm}^{2}$ in good
agreement with NEUT MC value of ${0.88 imes 10^{-38}} extrm{ cm}^{2}$. The
energy dependence of the CCQE cross section is also reported. The axial mass,
$M_A^{QE}$, of the dipole axial form factor was extracted assuming the
Smith-Moniz CCQE model with a relativistic Fermi gas nuclear model. Using the
absolute (shape-only) $p_{mu}cos heta_mu$ distribution, the effective
$M_A^{QE}$ parameter was measured to be ${1.26^{+0.21}_{-0.18} extrm{
GeV}/c^{2}}$ (${1.43^{+0.28}_{-0.22} extrm{ GeV}/c^{2}}$). |
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