Flavour interferometry in Reissner-Nordstrom background

TL;DR

This paper investigates how gravitational lensing by a charged black hole affects the interference pattern of scalar particles, revealing that charge significantly influences phase shifts and could help determine particle masses.

Contribution

It introduces a novel analysis of flavor interference in Reissner-Nordstrom spacetime, highlighting the charge's impact on phase and interference patterns.

Findings

Charge affects phase shifts significantly

Interference pattern shifts due to charge

Two oscillation lengths can determine eigen masses

Abstract

We derive the phase acquired by a neutral scalar particle propagating along Reissner-Nordstrom geodesics. Considering two flavours propagating on different trajectories which intersect, we plot the interference pattern induced by gravitational lensing from the charged compact object. Although the effect of the charge is subdominant in the metric, it proves to be significant in the phase, and shifts the interference pattern, compared to the Schwarzschild case. This pattern is characterised by two oscillation lengths which, if known, would allow the determination of both eigen masses independently.