Analyzing astrophysical neutrino signals using realistic nuclear structure calculations and the convolution procedure

Abstract

Convoluted differential and total cross sections of inelastic $\ensuremath{\nu}$ scattering on ${}^{128,130}$Te isotopes are computed from the original cross sections calculated previously using the quasiparticle random-phase approximation. We adopt various spectral distributions for the neutrino energy spectra such as the common two-parameter Fermi-Dirac and power-law distributions appropriate to explore nuclear detector responses to supernova neutrino spectra. We also concentrate on the use of low-energy $\ensuremath{\beta}$-beam neutrinos, originating from boosted ${\ensuremath{\beta}}^{\ensuremath{-}}$-radioactive ${}^{6}$He ions, to decompose original supernova (anti)neutrino spectra that are subsequently employed to simulate total cross sections of the reactions ${}^{130}\mathrm{Te}{(\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\nu}},{\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\nu}}}^{\ensuremath{'}})}^{130}{\mathrm{Te}}^{*}$. The concrete nuclear regimes selected, ${}^{128,130}$Te, are contents of the multipurpose CUORE and COBRA rare event detectors. Our present investigation may provide useful information about the efficiency of the Te detector medium of the above experiments in their potential use in supernova neutrino searches.