Electric dipole moments due to nuclear Schiff moment interactions: A reassessment of the atoms ${}^{129}$Xe, ${}^{199}$Hg, and the molecule ${}^{205}$TlF

Abstract

We present relativistic many-body calculations of atomic and molecular Schiff-moment interaction constants including interelectron correlation effects using atomic Gaussian basis sets specifically optimized for the Schiff interaction. Our present best results employing a Gaussian nuclear density function are ${\alpha }_{\text{SM}}=(0.364\pm 0.025)\times 10^{-17}\frac{e\text{cm}}{e{\text{fm}}^3}$ for atomic ${}^{129}$Xe, ${\alpha }_{\text{SM}}=(-2.40\pm 0.24)\times 10^{-17}\frac{e\text{cm}}{e{\text{fm}}^3}$ for atomic ${}^{199}$Hg, and $W_{\text{SM}}=(39967\pm 3600)$ a.u. for the thallium nucleus in the molecule ${}^{205}$TlF. We discuss agreements and discrepancies between our present results and those from earlier calculations on the atoms ${}^{129}$Xe and ${}^{199}$Hg. Using the most recent measurements of $\mathcal{P},\mathcal{T}$-odd electric dipole moments and the present interaction constants reliable upper bounds on the Schiff moments of the ${}^{199}$Hg and ${}^{205}$Tl nuclei are determined in the context of a single-source assumption.

24 pages, 1 figure

References in corpus (5)

• Flavour physics of leptons and dipole moments
• Calculation of P,T-odd electric dipole moments for diamagnetic atoms ${}^{129}$Xe, ${}^{171}$Yb, ${}^{199}$Hg, ${}^{211}$Rn, and ${}^{225}$Ra
• CeNTREX: A new search for time-reversal symmetry violation in the ${}^{205}$Tl nucleus
• Rigorous limits for hadronic and semi-leptonic CP-violating coupling constants from the electric dipole moment of ${}^{199}$Hg
• Screening of nucleon electric dipole moments in atomic systems

Cited by in corpus (3)

• Relativistic Exact Two-Component Coupled-Cluster Study of Molecular Sensitivity Factors for Nuclear Schiff Moments
• Global analysis of CP-violation in atoms, molecules and role of medium-heavy systems
• $\mathcal{C}\mathcal{P}$-violation sensitivity of closed-shell radium-containing polyatomic molecular ions