This paper proposes a mechanism for the decay of free neutron with interactions with neutrino(s). A mathematical framework is developed using canonical ensemble framework for the interactions. Probability distribution of neutron discrete energy states has been derived which is a function of neutrino-zeta – a macroscopic property of neutrinos. Consequently, a relationship between neutron decay constant and probability of neutron beta decay is provided, assuming linear proportionality. Furthermore, qualitative explanation of neutron lifetime puzzle, where discrepancy in lifetime measurements based on measurement method (Bottle vs Beam), is related to neutrino microscopic cross-sections. In addition, inverse beta-decay reaction of proton and beta-negative and beta-positive reaction of radionuclides have been analyzed using the proposed mechanism. The probabilities of beta-negative and beta-positive reactions in nature are qualitatively in agreement with the proposed mechanism. Lastly, way to test the mechanism experimentally with reactor neutrinos and neutrino beams has been presented.
Inverse-beta-decay reaction in the antineutrino flux from the fragments of 232Th and 233U fission