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arXiv · 2312.12802

Atomic electron transitions of hydrogen-like atoms induced by gravitational waves

Bo-Hung Chen·Dah-Wei Chiou
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Abstract

As a realistic model of a quantum system of matter, this paper investigates the gravitational-wave effects on a hydrogen-like atom. By formulating the tetrad formalism of linearized gravity, we naturally incorporate the gravitational-wave effects through minimal coupling in the covariant Dirac equation. The atomic electron transition rates induced by the gravitational wave are calculated using the first-order perturbation theory, revealing a distinctive selection rule along with Fermi's golden rule. This rule can be elegantly understood in terms of gravitons as massless spin-2 particles. Our results suggest the existence of gravitons and may lead to a novel approach to probe Ultra-High-Frequency Gravitational Waves (UHF-GWs).

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Bo-Hung Chen, Dah-Wei Chiou. 2023-12-20. Atomic electron transitions of hydrogen-like atoms induced by gravitational waves. https://doi.org/10.1088/1361-6382/ad861c

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