Relativistic Coupled Cluster (RCC) Computation of the Electric Dipole Moment Enhancement Factor of Francium Due to the Violation of Time Reversal Symmetry

Abstract

A relativistic many-body theory for the electric dipole moment (EDM) of paramagnetic atoms arising from the electric dipole moment of the electron is presented and implemented. The relativistic coupled-cluster method with single and double excitations (RCCSD) using the Dirac-Coulomb Hamiltonian and a weak parity and time reversal violating interaction to the first-order of perturbation has been employed to obtain the EDM enhancement factor for the ground state of the Fr atom due to the intrinsic EDM of the electron. The trends of different correlation effects and the leading contributions from different physical states are discussed. Our results in combination with that of the Fr EDM experiment that is currently in progress possess the potential to probe the validity of the standard model (SM) of elementary particle physics.

Double-core-polarization contribution to atomic parity-nonconservation and electric-dipole-moment calculations

“…It is interesting to note that if we include only the perturbative DCP term into the EDM calcualtions for Cs and Fr and don't include the relaxation term, we reproduce the values from References [25] and [30] almost exactly (see Table II). …”

Experimental search for the electron electric dipole moment with laser cooled francium atoms

“…We plan to apply the laser cooling technique to the Fr atom, which is the heaviest alkali atom. The electron EDM is enhanced in the heavy atomic system, and the Fr atom has the largest enhancement factor of 895 in the alkali atom [6]. Although Fr has no stable isotope, several Fr isotopes, such as 210 Fr, have enough life time to perform the EDM experiment.…”

Linear programming analysis of the R-parity violation within EDM-constraints

“…In this work, we neglect the contribution of the pseudoscalar-type P, CP-odd e-N interaction and the nuclear Schiff moment for the 205 Tl atoms and the YbF molecule. The theoretical uncertainty of the input parameters for the paramagnetic systems is known to be small, within few percents, and the results given by other approach [272][273][274][275][276][277][278] are more or less consistent. The EDM of diamagnetic atoms has a moderate sensitivity on the electron EDM or the scalar-type P, CP-odd e-N interaction, due to the closed electron shell.…”