CPT and Lorentz violation effects in hydrogenlike atoms

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 bμ. The quasirelativistic 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 b0. b0-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.