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Neutrinos from supernovae constitute important probes of both the currently unknown supernova mechanisms and of neutrino properties. Reliable information about the nuclear responses to supernova neutrinos is therefore crucial. In this work, we compute the cross sections for the charged-current neutrino-nucleus scattering off the even-even molybdenum isotopes. The nuclear responses to supernova neutrinos are subsequently calculated by folding the cross sections with a Fermi-Dirac distribution.

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The interest in studies of neutrino-nucleus interactions goes beyond the study of the intrinsic properties of the neutrino extending to a variety of topics in astro-, nuclear and hadronic physics. We report in this paper the results of the calculations of the cross sections of inelastic neutrino-nucleus scattering off 116 Cd, focusing on the incoherent neutral-current and charged-current processes, at energies typical of supernova neutrinos. The required nuclear wave functions for the participant initial and final states are constructed using the quasiparticle random-phase approximation in its charge-conserving mode and charge-changing mode. The response of 116 Cd to supernova neutrinos and antineutrinos is computed by folding the computed cross sections with the assumed Fermi-Dirac distribution of the neutrino energies.