Neutrino-induced reactions onC12within the continuum random phase approximation

Motivated by recent experiments we have studied ${\nu }_{\mathit{e}}$ and ${\nu }_{\mathrm{\mu }}$ induced charged- and neutral-current reactions on ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ within the continuum random phase approximation employing two different residual interactions. We find good agreement with the measured cross sections for the ${\nu }_{\mathit{e}}$ reactions, while our calculation signficantly differs from recently measured ${\nu }_{\mathrm{\mu }}$ cross sections. Our calculation indicates that the measurements of the total ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(${\nu }_{\mathit{e}}$,${\mathit{e}}^{\mathrm{-}}$ ${)}^{12}$ ${\mathrm{N}}^{\mathrm{*}}$ cross sections are consistent with the total ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(μ,${\nu }_{\mathrm{\mu }}$ ${)}^{12}$ ${\mathrm{B}}^{\mathrm{*}}$ capture rate.