CPT and Lorentz violation effects in hydrogen-like atoms

O. G. Kharlanov; V. Ch. Zhukovsky

doi:10.1063/1.2785123

paper

CPT and Lorentz violation effects in hydrogen-like atoms

arXiv:0705.3306 · doi:10.1063/1.2785123

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 $b_{μ}$ . 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.

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

CPT and Lorentz violation effects in hydrogen-like atoms

Abstract

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