Realistic Calculations for Neutrino-Nucleus Reactions Cross sections

We evaluate differential and integrated neutrino-nucleus reactions cross sections for low and intermediate neutrino energies (0MeV < Ev < 1 00MeV). We investigate the dependence on the scattering angle and initial neutrino-energy of the Fermi and Gamow-Teller type transition rates. The required many-body nuclear wave-functions are calculated by utilizing the quasi-particle random phase approximation. The results presented refer to the neutral-current scattering of ve on the nuclear isotopes 16O and 98Mo which play a significant role in astrophysical neutrino studies. By exploiting our exclusive cross sections, we explore the nuclear response for these detectors to supernova neutrinos assuming Fermi-Dirac distributions for the supernova neutrino spectra.