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We developed the quasi-particle random phase approximation (QRPA) for theneutrino scattering off even-even nuclei via neutral current (NC) and chargedcur- rent (CC). The QRPA has been successfully applied for the \beta and\beta\beta decay of relevant nuclei. To describe neutrino scattering, generalmultipole transitions by weak interactions with a finite momentum transfer arecalculated for NC and CC reaction with detailed formalism. Since we considerneutron-proton (np) pairing as well as neutron-neutron (nn) and proton-proton(pp) pairing correlations, the nn + pp QRPA and np QRPA are combined in aframework, which enables to describe both NC and CC reactions in a consistentway. Numerical results for \nu-^{12}C, -^{56}Fe and -^{56}Ni reactions areshown to comply with other theoretical calculations and reproduce wellavailable experimental data.

Neutrino reactions via neutral and charged current by Quasi-particle Random Phase Approximation(QRPA)