Abstract
Gravity induced neutrino-antineutrino oscillations are studied in the context of one and two flavor scenarios. This allows one to investigate the particle-antiparticle correlations in two and four level systems, respectively. Flavor entropy is used to probe the entanglement in the system. The well known witnesses of non-classicality such as Mermin and Svetlichly inequalities are investigated. Since the extent of neutrino-antineutrino oscillation is governed by the strength of the gravitational field, the behavior of non-classicality shows interesting features as one varies the strength of the gravitational field. Specifically, the suppression of the entanglement with the increase of the gravitational field is observed which is witnessed in the form of decrease in the flavor entropy of the system. The features of the Mermin and the Svetlichny inequalities allow one to make statements about the degeneracy of neutrino mass eigenstates.
Highlights
The phenomenon of neutrino oscillation is well known and establishes the nonzero mass of neutrinos
Since the extent of neutrinoantineutrino oscillation is governed by the strength of the gravitational field, the behavior of nonclassicality shows interesting features as one varies the strength of the gravitational field
Mermin inequality is a generalized form of Bell inequality and its violation indicates the standard nonlocal correlations existing among different parties in a multipartite system [47]
Summary
The phenomenon of neutrino oscillation is well known and establishes the nonzero mass of neutrinos. It was shown that while a nonzero (Majorana) mass of neutrinos is required for the neutrinoantineutrino mixing, for oscillation between neutrino and antineutrino (or their mass eigenstates) to occur, their energies must be split This splitting of energy due to gravitational effect, “gravitational Zeeman effect”, gives rise to the effective charge-parity-time reversal violation, as the effective masses Along with the lepton number violation in the neutrino sector (due to Majorana mass), gravitational Zeeman effect leads to neutrino and antineutrino oscillation. The gravity induced neutrinoantineutrino mixing affects the flavor oscillations, thereby leading to modified neutrino oscillation even in the flavor sector This naturally invites the investigation of different aspects of neutrino oscillations. II we briefly review the gravitational Zeeman effect
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