Abstract
The effect of the quantum decoherence of neutrino mass states on collective oscillations of neutrinos has been studied for the case of three flavors using a method based on the stability analysis of the Lindblad equation with the neutrino evolution Hamiltonian including the effects of the self-interaction. New analytical conditions for the appearance of collective neutrino oscillations in supernova explosions have been obtained taking into account the quantum decoherence of neutrinos.
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