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

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abstract

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

fields

hep-ph 1

years

2026 1

verdicts

ACCEPT 1

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  • Pathways and impediments towards a detection of the relic neutrino wind hep-ph · 2026-07-06 · accept · none · ref 13 · internal anchor

    Detecting the cosmic neutrino background's dipole anisotropy via tritium capture requires ~10^5 times the exposure needed for flux detection, with Majorana neutrinos suffering an additional (m_ν/T_ν)^2 suppression.