Calculation of P,T-odd electric dipole moments for diamagnetic atoms $^{129}$Xe, $^{171}$Yb, $^{199}$Hg, $^{211}$Rn, and $^{225}$Ra

TL;DR

This paper calculates electric dipole moments for several diamagnetic atoms using advanced many-body methods, providing theoretical support for interpreting experimental constraints on atomic EDMs related to fundamental symmetry violations.

Contribution

It introduces comprehensive calculations of atomic EDMs considering multiple P,T-odd interactions using various many-body techniques, enhancing understanding of fundamental symmetry violations.

Findings

Calculated EDM values for $^{129}$Xe, $^{171}$Yb, $^{199}$Hg, $^{211}$Rn, and $^{225}$Ra.

Analyzed implications of experimental $^{199}$Hg EDM constraints.

Provided theoretical estimates for P,T-odd interactions in diamagnetic atoms.

Abstract

Electric dipole moments of diamagnetic atoms of experimental interest are calculated using the relativistic Hartree-Fock and random-phase approximation methods, the many-body perturbation theory and configuration interaction technique. We consider P,T-odd interactions which give rise to atomic electric dipole moment in the second order of the perturbation theory. These include nuclear Schiff moment, P,T-odd electron-nucleon interaction and electron electric dipole moment. Interpretation of a new experimental constraint of a permanent electric dipole moment of $^{199}$Hg [W. C. Griffith {\it et al.}, Phys. Rev. Lett. {\bf 102}, 101601 (2009)] is discussed.