CPT and Lorentz violation effects in hydrogen-like atoms

TL;DR

This paper investigates how Lorentz and CPT symmetry violations, modeled by a background axial vector, affect the energy levels and electromagnetic properties of hydrogen-like atoms, revealing potential observable asymmetries.

Contribution

It derives a quasi-relativistic Hamiltonian incorporating CPT-odd effects and calculates corrections to atomic electromagnetic moments up to second order in the background field.

Findings

Derived a Hamiltonian with Lorentz-violating terms for bound electrons.

Calculated CPT-odd corrections to electromagnetic dipole moments.

Identified potential asymmetries in atomic radiation distribution.

Abstract

Within the framework of Lorentz-violating extended electrodynamics, the Dirac equation for a bound electron in an external electromagnetic field is considered assuming the interaction with a CPT-odd axial vector background $b_\mu$. The quasi-relativistic Hamiltonian is obtained using a $1/c$-series expansion. Relativistic Dirac eigenstates in a spherically-symmetric potential are found accurate up to the second order in $b_0$. $b_0$-induced CPT-odd corrections to the electromagnetic dipole moment operators of a bound electron are calculated that contribute to the anapole moment of the atomic orbital and may cause a specific asymmetry of the angular distribution of the radiation of a hydrogen atom.