Shell - model calculations of neutrino scattering from 12 C

Neutrino reaction cross-sections, (ν µ , µ −), (ν e , e −), µ-capture and photoab-sorption rates on 12 C are computed within a large-basis shell-model framework , which included excitations up to 4¯ hω. When ground-state correlations are included with an open p-shell the predictions of the calculations are in reasonable agreement with most of the experimental results for these reactions. Woods-Saxon radial wave functions are used, with their asymptotic forms matched to the experimental separation energies for bound states, and matched to a binding energy of 0.01 MeV for unbound states. For comparison purposes, some results are given for harmonic oscillator radial functions. Closest agreement between theory and experiment is achieved with unrestricted shell-model configurations and Woods-Saxon radial functions. We obtain for the neutrino-absorption inclusive cross sections: σ = 13.8 × 10 −40