Fully self-consistent calculations of nuclear Schiff moments

Abstract

We calculate the Schiff moments of the nuclei 199Hg and 211Ra in completely self-consistent odd-nucleus mean-field theory by modifying the Hartree-Fock-Bogoliubov code HFODD. We allow for arbitrary shape deformation, and include the effects of nucleon dipole moments alongside those of a CP-violating pion-exchange nucleon-nucleon interaction. The results for 199Hg differ significantly from those of previous calculations when the CP-violating interaction is of isovector character.Comment: 7 pages, 2 figure

Maximal electric dipole moments of nuclei with enhanced Schiff moments

“…In the case of the 199 Hg Schiff moment, the results [20] adopted in [18,[21][22][23] are significantly different from the more recent calculations of [19,24]. In particular, the coefficient a 0 may be enhanced by a factor of ∼ 30, whilst the coefficient a 1 may be reduced by a factor of ∼ 10 and could even take the opposite sign.…”

“…In particular, the coefficient a 0 may be enhanced by a factor of ∼ 30, whilst the coefficient a 1 may be reduced by a factor of ∼ 10 and could even take the opposite sign. After considering the different numbers from the most recent calculations [19] in table 1, we have used the SIII (HF) calculation for our numerical illustration. As motivation, we note that the first SLy4 and the SV calculations do not yield the right quantum numbers for the ground state, that the second SLy4 calculation was found to be unable to project HFB states, and that the SkM* calculation gives a spherical minimum.…”

Direct and indirect constraints on CP-violating Higgs-quark and Higgs-gluon interactions

“…[79][80][81]), the dependence of S A onḡ 0,1 is far more uncertain due to the complicated nuclear many-body problem [82,83] (for a detailed discussion, see ref. [84]).…”

Techniques used to search for a permanent electric dipole moment of the199Hg atom and the implications forCPviolation

“…In this paper we opt to use the coefficient values from [51], in order to be consistent with our earlier letter [7]. However, it must be noted that although the nuclear physics calculations involved in the interpretation of the 199 Hg EDM limit are complicated and further work in this area may result in significant revision of the results presented above, it is possible that the isovector coupling is suppressed as predicted by [52] and that the sensitivity of the 199 Hg EDM to fundamental physics is therefore somewhat reduced.…”

“…Their values for the isoscalar, isovector, and isotensor coupling constants vary over a range of 5, 1.6, and 2.3, respectively. The most recent calculation of the 199 Hg Schiff moment in terms of nuclear parameters is in conflict with both of the calculations described above [52]. These authors performed a fully self-consitent mean field calculation of the Schiff moment, taking into account core polarization effects and allowing for deformation of the 199 Hg nucleus.…”