Computational treatment of the neutrino signals produced in nuclear detectors

We apply the convolution (folding) method in neutrino physics studies. We focus on its use to explore the response of some nuclear detectors to the energy spectra of laboratory neutrinos. After calculating the neutrino-nucleus cross sections (within the context of a nuclear model) for a neutrino detector, the obtained cross section values must be folded with a specific neutrino- energy distribution. In the present work we use the v-distribution of pion-muon decay at rest neutrino beams created in muon factories like the Fermilab, J-PARC, and other laboratories. Due to the fact that neutrino-nucleus interactions are very weak, the evaluated cross sections are small (~ 10⁻⁴²cm²). Thus, one needs a very fine convolution tool to obtain accurate description of the v-signals (laboratory, supernova neutrinos, etc.) recorded at some nuclear detectors.