Towards the detection of cosmological relic neutrino with neutrino capture on a beta decaying nuclei

In this paper we report on recent results in the Þeld of the phenomenology of very low energy neutrino interactions. We brießy describe the cross section calculation for Neutrino Capture on Beta decay nuclei (NCB). We show that the resulting cross section open the possibility to detect the cosmological relic neutrinos. With this achievement, the relic neutrino detection has been downscaled from a principle problem to a technological challenge. We also summarise the state of the art about possible detection techniques.