Abstract

We explore the impact of strong gravitational fields on neutrino decoherence. To this aim, we employ the density matrix formalism to describe the propagation of neutrino wave packets in curved spacetime. By considering Gaussian wave packets, we determine the coherence proper time, neglecting the effect of matter outside the compact object. We show that strong gravitational fields nearby compact objects significantly influence neutrino coherence.

Highlights

  • Neutrinos are elementary massive particles with non-zero mixings producing neutrino oscillations, a quantum mechanical phenomenon analogous to Rabi oscillations in atomic physics [1, 2]

  • In this letter we explore the impact of strong gravitational fields on neutrino decoherence in a Wave packets (WPs) treatment

  • In the present manuscript we have explored neutrino decoherence from WP separation in curved spacetime

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Summary

Introduction

Neutrinos are elementary massive particles with non-zero mixings producing neutrino oscillations, a quantum mechanical phenomenon analogous to Rabi oscillations in atomic physics [1, 2]. Gravitational fields can modify the localization and adiabaticity of the Mikheev-Smirnov-Wolfenstein resonance [16], or delay bipolar oscillations from neutrino self-interactions [17]. Such studies are based on the plane wave approximation. We first recall the density matrix formalism using WPs in the case of flat spacetime We extend it to describe neutrino flavor evolution in curved spacetime, considering a static and spherically symmetric gravitational field described by the Schwarzschild metric.

Neutrino WP decoherence in flat spacetime
Coherence length in flat spacetime
The density matrix approach
Neutrino WP decoherence in curved spacetime
Neutrino trajectories in the Schwarzschild metric
A kinematical argument
The coherence proper time
Conclusions

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