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We discuss the cross section formula both for massless and massive neutrinoson stable and radioactive nuclei. The latter could be of interest for thedetection of cosmological neutrinos whose observation is one of the mainchallenges of modern cosmology. We analyze the signal to background ratio as afunction of the ratio of the neutrino mass over the detector resolution andshow that an energy resolution less than 0.5 eV would be required for sub-eVneutrino masses, independently of the gravitational neutrino clustering.Finally we mention the non-resonant character of neutrino capture onradioactive nuclei.

Charged current cross section for massive cosmological neutrinos impinging on radioactive nuclei