Neutrino scattering from12C and16O

Exclusive and inclusive $({\nu }_{\mu },{\mu }^{-})$, $\left({\nu }_e{,e}^{-}\right)$ cross sections and ${\mu }^{-}$-capture rates are calculated for ${}^{12}$C and ${}^{16}$O using the consistent random phase approximation (RPA) and pairing model. After a pairing correction is introduced to the RPA results, the flux-averaged theoretical $({\nu }_{\mu },{\mu }^{-})$, $\left({\nu }_e{,e}^{-}\right)$ cross sections and ${\mu }^{-}$-capture rates in ${}^{12}$C are in good agreement with experiment. Predictions of $({\nu }_{\mu },{\mu }^{-})$ and $\left({\nu }_e{,e}^{-}\right)$ cross sections in ${}^{16}$O are also presented.