Weak reactions on 12C within the continuum random phase approximation with partial occupancies

Abstract We extend our previous studies of the neutrino-induced reactions on 12 C and muon capture to include partial occupation of nuclear subshells in the framework of the continuum random phase approximation. We find, in contrast to the work by Auerbach et al., that a partial occupation of the p 1 2 subshell reduces the inclusive cross sections only slightly. The extended model describes the muon capture rate and the 12 C( ν e , e − ) 12 N cross section very well. The recently updated flux and the improved model bring the calculated 12 C( ν μ , μ − ) 12 N cross section (≈ 17.5 × 10 −40 cm 2 ) and the data ((12.4 ± 0.3(stat.) ± 1.8(syst.) × 10 −40 cm 2 ) closer together, but does not remove the discrepancy fully.