Measurements of charged current reactions ofνμon12C

Charged current reactions of ${\\ensuremath{\\nu}}_{e}$ on ${}^{12}\\mathrm{C}$ have been studied using a ${\\ensuremath{\\mu}}^{+}$ decay-at-rest ${\\ensuremath{\\nu}}_{e}$ beam at the Los Alamos Neutron Science Center. The cross section for the exclusive reaction ${}^{12}\\mathrm{C}({\\ensuremath{\\nu}}_{e}{,e}^{\\ensuremath{-}}{)}^{12}{\\mathrm{N}}_{\\mathrm{g}.\\mathrm{s}.}$ was measured to be $(8.9\\ifmmode\\pm\\else\\textpm\\fi{}0.3\\ifmmode\\pm\\else\\textpm\\fi{}0.9)\\ifmmode\\times\\else\\texttimes\\fi{}{10}^{\\ensuremath{-}42}$ ${\\mathrm{cm}}^{2}.$ The observed energy dependence of the cross section and angular distribution of the outgoing electron agree well with theoretical expectations. Measurements are also presented for inclusive transitions to ${}^{12}\\mathrm{N}$ excited states, ${}^{12}\\mathrm{C}({\\ensuremath{\\nu}}_{e}{,e}^{\\ensuremath{-}}{)}^{12}{\\mathrm{N}}^{*}$ and compared with theoretical expectations. The measured cross section, $(4.3\\ifmmode\\pm\\else\\textpm\\fi{}0.4\\ifmmode\\pm\\else\\textpm\\fi{}0.6)\\ifmmode\\times\\else\\texttimes\\fi{}{10}^{\\ensuremath{-}42}$ ${\\mathrm{}\\mathrm{cm}}^{2},$ is somewhat lower than previous measurements and than a continuum random phase approximation calculation. It is in better agreement with a recent shell model calculation.