Histories of Neutrino Oscillation of Consistency Induced by the Presence of Normal Matter

Abstract

Oscillation of two-flavour neutrinos is considered within a quantum mechanical framework of consistent (decoherent) dynamic histories. We investigate how consistency of selected three-time histories is affected by oscillation parameters. We show that the presence of normal matter is crucial to maintain consistency of certain classes of neutrinos’ dynamic histories and that the consistency does not depend on a Majorana phase and remains insensitive to a potential CP violation.