Large-scale shell-model calculations of nuclear Schiff moments of ${}^{129}$Xe and ${}^{199}$Hg

Abstract

The theoretical uncertainty in the nuclear Schiff moment is an obstacle to set constraints on $CP$ violation beyond the standard model from experimental upper bounds on atomic electric dipole moments. We perform large-scale shell-model calculations of the ${}^{129}$Xe and ${}^{199}$Hg nuclei with realistic effective interactions. To estimate the Schiff moments caused by the $P$, $T$-odd $\pi NN$ interaction perturbatively, we employ the one-particle one-hole approximation to the intermediate states. The Schiff moments of ${}^{129}$Xe and ${}^{199}$Hg are reduced due to the configuration mixing by $\sim 10\%$ from the evaluation of the independent particle model. On the other hand, the reduction is more significant in mean-field based calculations and shell-model calculations with a drastic truncation. In order to resolve the discrepancy in the Schiff moment of ${}^{199}$Hg among several nuclear models, we survey low-energy nuclear structure. The large-scale shell-model calculations reveal that the Schiff moment of ${}^{199}$Hg is considerably quenched in the second ${\frac{1}{2}}^{-}$ state.

References in corpus (10)

• Improved limit on the permanent electric dipole moment of 199Hg
• Unraveling models of CP violation through electric dipole moments of light nuclei
• New Limit on the Permanent Electric Dipole Moment of ${}^{129}$Xe using ${}^3$He Comagnetometry and SQUID Detection
• Calculation of P,T-odd electric dipole moments for diamagnetic atoms ${}^{129}$Xe, ${}^{171}$Yb, ${}^{199}$Hg, ${}^{211}$Rn, and ${}^{225}$Ra
• Intrinsic Electric Dipole Moments of Paramagnetic Atoms: Rubidium and Cesium
• Rigorous limits for hadronic and semi-leptonic CP-violating coupling constants from the electric dipole moment of ${}^{199}$Hg
• Improved limits on the hadronic and semi-hadronic CP violating parameters and role of a dark force carrier in the electric dipole moment of ${}^{199}$Hg
• Atomic Electric Dipole Moments: The Schiff Theorem and Its Corrections
• A Reappraisal of the Electric Dipole Moment Enhancement Factor for Thallium
• Schiff Screening of Relativistic Nucleon Electric-Dipole Moments by Electrons

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• Screening of nucleon electric dipole moments in atomic systems
• P,T-Odd Interactions in Atomic ${}^{129}$Xe and Phenomenological Applications
• Constraints on the nuclear Schiff moment from its correlation with electromagnetic properties
• Bubble Trouble: a Review on Electroweak Baryogenesis
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• Nuclear Schiff Moments and CP Violation
• Revisiting Theoretical Analysis of Electric Dipole Moment of ${}^{129}$Xe
• Nuclear structure properties of ${}^{193-200}$Hg isotopes within large-scale shell model calculations
• Weinberg operator contribution to the CP-odd nuclear force in the quark model
• Weinberg Operator Contribution to the Hadronic CP Violation
• Exploring CP Violation beyond the Standard Model and the PQ Quality with Electric Dipole Moments
• Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments