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 . The quasi-relativistic Hamiltonian is obtained using a -series expansion. Relativistic Dirac eigenstates in a spherically-symmetric potential are found accurate up to the second order in . -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