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

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 $d{(}^{205}\mathrm{T}\mathrm{l})=-582(20)d_e$ 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 $d{(}^{133}\mathrm{C}\mathrm{s})=124(4)d_e$ or $d(^{133}{\rm Cs})=0.76(2)\times 10^{-18}C^{SP} e {\rm cm}$.