Calculation of the (T,P)-odd Electric Dipole Moment of Thallium

TL;DR

This paper calculates the (T,P)-odd electric dipole moment of Thallium using advanced many-body methods, providing results that help interpret experimental measurements related to fundamental symmetry violations.

Contribution

It presents new relativistic calculations of the Thallium EDM considering multiple interaction contributions, improving the theoretical understanding of atomic EDMs for fundamental physics tests.

Findings

Calculated Thallium EDM: -582(20) d_e

Derived Thallium EDM in terms of scalar-pseudoscalar interaction: -7.0(2)×10^{-18} C^{SP} e cm

Compared results with Cesium to aid interpretation of experiments.

Abstract

Parity and time invariance violating electric dipole moment of $^{205}$Tl is calculated using the relativistic Hartree-Fock and configuration interaction methods and the many-body perturbation theory. Contributions from the interaction of the electron electric dipole moments with internal electric field and scalar-pseudoscalar electron-nucleon (T,P)-odd interaction are considered. The results are $d(^{205}{\rm Tl})=-582(20) d_e$ or $d(^{205}{\rm Tl})=-7.0(2)\times 10^{-18}C^{SP} e {\rm cm}$. Interpretation of the measurements are discussed. The results of similar calculations for $^{133}$Cs are $d(^{133}{\rm Cs})=124(4) d_e$ or $d(^{133}{\rm Cs})=0.76(2)\times 10^{-18}C^{SP} e {\rm cm}$.