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

preprint1997arXivOpen access

Abstract

Exclusive and inclusive (νμ,μ−),(νe,e−)(ν_μ, μ^-), (ν_e, e^-) cross-sections and μ−μ^--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 (νμ,μ−),(νe,e−)(ν_μ, μ^-), (ν_e, e^-) cross-sections and μ−μ^--capture rates in 12^{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 (νμ,μ−)(ν_μ, μ^-) cross-section is in agreement with the present theoretical results. Predictions of (νμ,μ−)(ν_μ, μ^-) and (νe,e−)(ν_e, e^-) cross-sections in ^{16}O are also presented.

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