Traces of Lorentz symmetry breaking in a Hydrogen atom at ground state
Luiz Henrique de Campos Borges, Fabricio Augusto Barone Rangel
TL;DR
This paper investigates how Lorentz symmetry breaking affects the ground state of a hydrogen atom, revealing energy corrections and an induced four-pole moment using perturbation theory.
Contribution
It introduces a novel analysis of Lorentz symmetry breaking effects on atomic ground states, specifically calculating energy shifts and multipole moments.
Findings
Lorentz symmetry breaking causes measurable energy corrections.
An induced four-pole moment appears due to symmetry breaking.
The results extend previous models of Lorentz violation in electromagnetic interactions.
Abstract
Some traces of a specific Lorentz symmetry breaking scenario in the ground state of the Hydrogen atom are investigated. It is used standard Rayleigh-Schr\"odinger perturbation theory in order to obtain the corrections to the the ground state energy and wave function. It is shown that an induced four-pole moment arises, due to the Lorentz symmetry breaking. The model considered is the one studied in reference Eur. Phys. J. C {\bf 74}, 2937 (2014), where the Lorentz symmetry is broken in the electromagnetic sector.
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