The largest sample ever recorded of $\numub$ charged-current quasi-elastic (CCQE, $\numub + p \to \mup + n$) candidate events is used to produce the minimally model-dependent, flux-integrated double-differential cross section $\frac{d^{2}\sigma}{dT_\mu d\uz}$ for $\numub$ incident on mineral oil. This measurement exploits the unprecedented statistics of the MiniBooNE anti-neutrino mode sample and provides the most complete information of this process to date. Also given to facilitate historical comparisons are the flux-unfolded total cross section $\sigma(E_\nu)$ and single-differential cross section $\frac{d\sigma}{d\qsq}$ on both mineral oil and on carbon by subtracting the $\numub$ CCQE events on hydrogen. The observed cross section is somewhat higher than the predicted cross section from a model assuming independently-acting nucleons in carbon with canonical form factor values. The shape of the data are also discrepant with this model. These results have implications for intra-nuclear processes and can help constrain signal and background processes for future neutrino oscillation measurements.
Flux (neutrinos /cm^2/Protons on Target/50 MeV).
The MiniBooNE $\bar{\nu}_\mu$ CCQE double-differential cross section on mineral oil, together with the shape uncertainty, in units of fb/GeV $(10^{-39}~\mbox{cm}^2/\mbox{GeV})$. Data is given in 0.1 GeV bins of $T_\mu$ (columns) and 0.1 bins of $\,\textrm{cos}\, \theta_\mu$ (rows). Not included in the table is the total normalization uncertainty of 13.0$\%$.
CCQE-like background in units of fb/GeV $(10^{-39}~\mbox{cm}^2)/\mbox{GeV}$ to the MiniBooNE $\bar{\nu}_\mu$ CCQE double-differential cross section on mineral oil. In this configuration, the hydrogen scattering component is treated as signal and is not included in the CCQE-like background.
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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