Neutrino-nucleus reactions on ^{12}C and ^{16}O

Abstract

Exclusive and inclusive $({\nu }_{\mu },{\mu }^{-}),({\nu }_e,e^{-})$ 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 $({\nu }_{\mu },{\mu }^{-}),({\nu }_e,e^{-})$ cross-sections and ${\mu }^{-}$-capture rates in ${}^{12}$C are in good agreement with experiment. In particular when one takes into account the experimental error bars, the recently measured range of values for the $({\nu }_{\mu },{\mu }^{-})$ cross-section is in agreement with the present theoretical results. Predictions of $({\nu }_{\mu },{\mu }^{-})$ and $({\nu }_e,e^{-})$ cross-sections in ^{16}O are also presented.

Comments: 13 pages, Revtex