Abstract
In the context of an atom endowed with nuclear electric dipole moment (EDM), we consider the effects on the Schiff moment of $CPT$-even Lorentz-violating (LV) terms that modify the Coulomb potential. First, we study the modifications on the Schiff moment when the nucleus interacts with the electronic cloud by means of a Coulomb potential altered only by the $P$-even LV components. Next, by supposing the existence of an additional intrinsic LV EDM generated by other LV sources, we assess the corrections to the Schiff moment when the interaction nucleus-electrons runs mediated by a Coulomb potential modified by both the $P$-odd and $P$-even LV components. We then use known estimates and EDM measurements to discuss upper bounds on the new Schiff moment components and the possibility of an intrisic nuclear EDM component ascribed to LV effects.
Highlights
The possibility of detecting permanent electric dipole moments (EDMs) cannot be underestimated since it is related to a few major problems in contemporary physics [1,2,3,4]
We have discussed the repercussions of LV terms belonging to the electromagnetic CPT-even sector of the standard model extension (SME) to the nuclear Schiff moment and the effect of an additional intrinsic LV nuclear EDM, dilv
The achieved modified LV Schiff moments (19), (32), (35) do not point in the same direction as the nuclear spin, as it occurs with the usual Schiff moment
Summary
The possibility of detecting permanent electric dipole moments (EDMs) cannot be underestimated since it is related to a few major problems in contemporary physics [1,2,3,4]. For a finite-sized nucleus, the first order screening is no longer complete, there appearing the nuclear Schiff moment, whose interaction with the electrons generates atomic EDM [9,10,11]. Such a nuclear EDM might yield an electric dipole moment for the atom as a whole by a process that involves the mixing of electron wave functions of opposite parity. We calculate how the modified Coulomb potential and an intrinsic nuclear EDM, coming from the CPT-even Lorentz-violating tensor, ðKFÞαβμν, yields corrections to the residual interaction known as the Schiff moment
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