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 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 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.

Exact Foldy-Wouthuysen transformation for a Dirac spinor in torsion and otherCPTand Lorentz violating backgrounds

“…An obvious advantage of the present method is its technical simplicity compared to the perturbative one. If we apply the procedure described between (15) and (20) to the above equation, we find the nonrelativistic limit which is almost (but not completely) equal to the conventional one [12],…”

“…In particular, the papers [11,12,13] were devoted to the nonrelativistic approximation of Dirac equation and in [12,13], correspondingly, the Pauli equation and Foldy-Wouthuysen transformation have been obtained for the fermion field coupled to the combined electromagnetic and torsion fields. One can use these results for the investigation of the possible manifestations of torsion in the domain of the atomic physics [12,14,15].…”

Higher order corrections to the hydrogen spectrum from the standard-model extension

“…Since expectation values of the relative momentum p have a typical order m e α (in units whereh = c = 1) where α ≈ 1/137.036 is the fine structure constant, the low order terms in this expansion can be used to find the leading perturbations to the energy levels. The leading SME corrections to hydrogen energy levels were worked out by Bluhm, Kostelecký, and Russell [12] and Shore [13], and additional leading order effects in hydrogen were considered by Ferreira and Moucherek [14] and Kharlanov and Zhukovsky [15]. By "leading order" we mean those corrections linear in SME parameters and of zeroth order in α.…”

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

“…The Lorentz-violating (LV) terms, generated as vacuum expectation values of tensors defined in a high energy scale, are coupled to the physical fields yielding coordinate invariance and violation of Lorentz symmetry in the particle frames [11]. This theoretical framework has inspired a large number of investigations in the last several years, encompassing fermion systems [12][13][14][15][16][17][18][19][20], CPT-probing experiments [21][22][23][24][25][26][27], the electromagnetic CPT-and Lorentzodd term [28]- [41], the CPT-even and Lorentz-odd gauge sector and its interactions with fermions [42][43][44][45][46][47][48][49][50][51], [52][53][54][55][56][57]. Recent investigations involving higher dimensional operators [58][59][60], its possible connections with LV theories [61][62][63][64][65][66], and nonminimal couplings …”