The reaction $~{12}{\rm C}(\nu_\mu,\mu~-) {\rm X}$ has been measured near threshold using a $\pi ~+$ decay-in-flight $\nu_\mu$ beam from the Los Alamos Meson Physics Facility and a massive liquid scintillator neutrino detector (LSND). In the energy region $123.7 < {\rm E}_\nu < 280$ MeV, the measured spectral shape is consistent with that expected from the Fermi Gas Model. However, the measured flux--averaged inclusive cross section ($(8.3 \pm 0.7 {\rm stat.} \pm 1.6 {\rm syst.}) \times 10~{-40} {\rm cm}~2$) is more than a factor of 2 lower than that predicted by the Fermi Gas Model and by a recent random phase approximation calculation.
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Charged current scattering of \nu_\mu on ^{12}C has been studied using a \pi^+ decay-in-flight \nu_\mu beam at the Los Alamos Neutron Science Center. A sample of 66.9+-9.1 events satisfying criteria for the exclusive reaction ^{12}C(\nu_\mu,\mu^-)^{12}N_{g.s.} was obtained using a large liquid scintillator neutrino detector. The observed flux-averaged cross section (5.6+-0.8+-1.0) x 10^{-41} cm^2 agrees well with reliable theoretical expectations. A measurement was also obtained for the inclusive cross section to all accessible ^{12}N states ^{12}C(\nu_\mu,\mu^-)X. This flux-averaged cross section is (10.6+-0.3+-1.8) x 10^{-40} cm^2 which is lower than present theoretical calculations.
Measured Quasi-Elastic total cross section.
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