Nuclear responses of64,66Zn isotopes to supernova neutrinos

Abstract

Nuclear responses to energy spectra of supernova (SN) neutrinos are studied by folding original $\ensuremath{\nu}$-nucleus cross sections calculated in the context of the quasiparticle random-phase approximation using realistic two-body forces. To this purpose, we employ two-parameter neutrino-energy distributions of Fermi-Dirac and power-law shapes for various SN neutrino scenarios. As concrete examples of promising neutrino detectors we have chosen the ${}^{64,66}$Zn isotopes, contents of (i) the semiconductor CdZnTe (COBRA experiment) and (ii) the crystal scintillators ZnMoO${}_{4}$ and ZnWO${}_{4}$. These materials are quite advantageous for measuring double-$\ensuremath{\beta}$-decay events and for potential use in studying current neutrino physics issues. We concentrate on the evaluation of folded differential cross sections, ${[d\ensuremath{\sigma}(\ensuremath{\omega})/d\ensuremath{\omega}]}_{\mathrm{fold}}$, and flux-averaged cumulative cross sections, ${[d\ensuremath{\sigma}(\ensuremath{\omega})/d\ensuremath{\omega}]}_{\mathrm{fold}}^{\mathrm{cum}}$, as well as total cross sections, $\ensuremath{\langle}{\ensuremath{\sigma}}_{\mathrm{tot}}\ensuremath{\rangle}$, of the above Zn isotopes by adopting several realistic SN neutrino models parametrized by the neutrino temperature or the mean neutrino energy and the width of the aforementioned distributions.