CPT and Lorentz violation effects in hydrogen-like atoms

Details CPT and Lorentz violation effects in hydrogen-like atoms CPT and Lorentz violation effects in hydrogen-like atoms

2007-05-23

arxiv.org/abs/0705.3306v3

J.Math.Phys.48:092302,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 1 figure; (5.14) is corrected to conform to the normalization convention for Laguerre polynomials adopted at present

Scientific paper

10.1063/1.2785123

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.

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