Entanglement of neutrino states

Abstract

Muon and muon antineutrino born in the decay of charged pion form the entangled spin state. The decay of muon with the left helicity triggers the left helicity for muon antineutrino to preserve the null total angular momentum of muon and muon antineutrino. This is forbidden for antineutrino hence one cannot detect the muon antineutrino after the decay of muon. This effect may explain the deficit of muon neutrino flux in the Super-Kamiokande, K2K, MINOS experiments.

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