Neutrino-induced reactions on 12C within the continuum random phase approximation.

Abstract

Motivated by recent experiments we have studied ${\ensuremath{\nu}}_{\mathit{e}}$ and ${\ensuremath{\nu}}_{\mathrm{\ensuremath{\mu}}}$ 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 ${\ensuremath{\nu}}_{\mathit{e}}$ reactions, while our calculation signficantly differs from recently measured ${\ensuremath{\nu}}_{\mathrm{\ensuremath{\mu}}}$ cross sections. Our calculation indicates that the measurements of the total $^{12}\mathrm{C}$(${\ensuremath{\nu}}_{\mathit{e}}$,${\mathit{e}}^{\mathrm{\ensuremath{-}}}$${)}^{12}$${\mathrm{N}}^{\mathrm{*}}$ cross sections are consistent with the total $^{12}\mathrm{C}$(\ensuremath{\mu},${\ensuremath{\nu}}_{\mathrm{\ensuremath{\mu}}}$${)}^{12}$${\mathrm{B}}^{\mathrm{*}}$ capture rate.