The Leggett--Garg K3 quantity discriminates Dirac and Majorana neutrinos

TL;DR

This paper proposes that the K3 quantity, related to Leggett-Garg inequality violations, can distinguish between Dirac and Majorana neutrinos in matter with dissipation, offering a potential method to identify neutrino nature.

Contribution

It introduces the K3 quantity as a discriminating tool for neutrino types in dissipative environments, expanding the application of Leggett-Garg inequalities in neutrino physics.

Findings

K3 values differ for Dirac and Majorana neutrinos in dissipative matter.

Certain matter densities maximize the distinguishability of neutrino types.

Leggett-Garg inequality violations vary between neutrino types under specific conditions.

Abstract

The K3 quantity, introduced in a context of the Leggett--Garg inequality violation, is studied for the neutrino oscillations in matter with phenomenologically modelled dissipative environment. It is shown that the K3 function acquires different values depending on whether neutrino is Dirac or Majorana particle, provided that there is a dissipative interaction between matter and neutrinos. The difference occurs for various matter densities and can serve as a potential quantifier verifying the neutrino nature. Moreover, working within phenomenological model one can suggest the values of the matter density and dissipation for which the difference is the most visible. There exist also special conditions in which the violation of the Leggett--Garg inequality, to a different extent for both kinds of neutrino, is observed.