$(\mathcal{P},\mathcal{T})$-Odd Tensor-Pseudotensor Interactions in atomic {${}^{199}$Hg} and {${}^{225}$Ra}

Abstract

Highly correlated pure {\it{ab initio}} relativistic configuration interaction theory is in the present paper applied to the calculation of the tensor-pseudotensor $(\mathcal{P},\mathcal{T})$-violating nucleon-electron interaction constant in the electronic ground states of atomic mercury and radium. The final best obtained results are $R_T$(Hg) = $-4.43$\, [$10^{-20}$ $⟨{\sigma }_N⟩$ $e$ cm] and $R_T$(Ra) = $-15.0$\, [$10^{-20}$ $⟨{\sigma }_N⟩$ $e$ cm]. The accuracy of the employed electronic-structure models are confirmed by determining the static electric dipole polarizability ${\alpha }_d$(Hg) = $35.7$ {\it{a.u.}} which is in accord with the experimental value to about $5$\%. $R_T$(Ra) will be useful for constraining (or obtaining) the $(\mathcal{C}\mathcal{P})$-violating parameter $C_T$ when combined with future measurements of the electric dipole moment of the radium atom.

arXiv comment11 pages

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Cited by in corpus (7)

• The DIRAC code for relativistic molecular calculations
• Electric dipole moments of atoms and molecules produced by enhanced nuclear Schiff moments
• Electric dipole moments due to nuclear Schiff moment interactions: A reassessment of the atoms ${}^{129}$Xe, ${}^{199}$Hg, and the molecule ${}^{205}$TlF
• Global analysis of CP-violation in atoms, molecules and role of medium-heavy systems
• P,T-Odd Interactions in Atomic ${}^{129}$Xe and Phenomenological Applications
• Constraining CP-violating electron-gluonic operators
• Relativistic atomic structure calculations in support of spectroscopy