Neutrino and anti-neutrino scattering off Zn isotopes with quasi-particle RPA calculations

We performed detailed calculations for the cross-sections of (anti)neutrinos with Zn isotopes, contents of the COBRA double beta decay detector at Gran Sasso. We utilized a quasi-particle random phase approximation (QRPA) relying on realistic two-body forces. We present and discuss original double and single differential cross-sections of the neutral current reactions 64 , 66 Zn ( ν , ν ′ ) 64 , 66 Zn ∗ and 64 , 66 Zn ( ν ˜ , ν ˜ ′ ) 64 , 66 Zn ∗ . The response of these isotopes to the energy-spectra of supernova neutrinos is studied by convoluting the original cross-sections with the two-parameter Fermi–Dirac neutrino energy distribution for various mean neutrino energies.