Coherent and incoherent neutral current scattering for supernova detection (Q1949904)

Summary: The total cross sections as well as the neutrino event rates are calculated in the neutral current neutrino scattering off \({}^{40}\text{Ar}\) and \({}^{132}\text{Xe}\) isotopes at neutrino energies (\(E_{\nu}<100\) MeV). The individual contribution coming from coherent and incoherent channels is taking into account. An enhancement of the neutral current component is achieved via the coherent (\(O^+_{gs}\rightarrow O^+_{gs}\)) channel which is dominant with respect to incoherent (\(O^+_{gs}\rightarrow J_f\)) one. The response of the above isotopes as a supernova neutrino detection has been considered, assuming a two parameter Fermi-Dirac distribution for the supernova neutrino energy spectra. The calculated total cross sections are tested on a gaseous spherical TPC detector dedicated for supernova neutrino detection.