Significance of distinct electron correlation effects in determining the P,T-odd electric dipole moment of ${}^{171}$Yb

Abstract

Parity and time-reversal violating electric dipole moment (EDM) of ${}^{171}$Yb is calculated accounting for the electron correlation effects over the Dirac-Hartree-Fock (DHF) method in the relativistic Rayleigh-Schrödinger many-body perturbation theory, with the second (MBPT(2) method) and third order (MBPT(3) method) approximations, and two variants of all-order relativistic many-body approaches, in the random phase approximation (RPA) and coupled-cluster (CC) method with singles and doubles (CCSD method) framework. We consider electron-nucleus tensor-pseudotensor (T-PT) and nuclear Schiff moment (NSM) interactions as the predominant sources that induce EDM in a diamagnetic atomic system. Our results from the CCSD method to EDM ($d_a$) of ${}^{171}$Yb due to the T-PT and NSM interactions are found to be $d_a=4.85(6)\times 10^{-20}⟨\sigma ⟩C_T|e|cm$ and $d_a=2.89(4)\times 10^{-17}S/(|e|f{m}^3)$, respectively, where $C_T$ is the T-PT coupling constant and $S$ is the NSM. These values differ significantly from the earlier calculations. The reason for the same has been attributed to large correlation effects arising through non-RPA type of interactions among the electrons in this atom that are observed by analyzing the differences in the RPA and CCSD results. This has been further scrutinized from the MBPT(2) and MBPT(3) results and their roles have been demonstrated explicitly.

arXiv comment11 pages, 4 figures and 4 tables

References in corpus (26)

• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
• Electric dipole moments as probes of new physics
• The origin of the matter-antimatter asymmetry
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Improved limit on the permanent electric dipole moment of 199Hg
• Matter and Antimatter in the Universe
• Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}$Hg
• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
• Collective T- and P- Odd Electromagnetic Moments in Nuclei with Octupole Deformations
• Unraveling models of CP violation through electric dipole moments of light nuclei
• The nuclear Schiff moment and time invariance violation in atoms
• Best Values for the CP-odd Meson-Nucleon Couplings from Supersymmetry
• Schiff moment of the Mercury nucleus and the proton dipole moment
• Fully self-consistent calculations of nuclear Schiff moments
• Calculation of P,T-odd electric dipole moments for diamagnetic atoms ${}^{129}$Xe, ${}^{171}$Yb, ${}^{199}$Hg, ${}^{211}$Rn, and ${}^{225}$Ra
• Time-Reversal-Violating Schiff Moment of 199Hg
• Ytterbium in quantum gases and atomic clocks: van der Waals interactions and blackbody shifts
• Rigorous limits for hadronic and semi-leptonic CP-violating coupling constants from the electric dipole moment of ${}^{199}$Hg
• Improved limits on the hadronic and semi-hadronic CP violating parameters and role of a dark force carrier in the electric dipole moment of ${}^{199}$Hg
• Parity violation and electric dipole moments in atoms and molecules
• Correlation trends in the ground state static electric dipole polarizabilities of closed-shell atoms and ions
• Atomic electric dipole moments of He and Yb induced by nuclear Schiff moments
• Proposed search for an electric-dipole moment using laser-cooled ${}^{171}$Yb atoms
• Electric dipole moment of ${}^{225}$Ra due to P- and T-violating weak interactions
• A Relativistic Many-Body Analysis of the Electric Dipole Moment of ${}^{223}$Rn

Cited by in corpus (7)

• Relativistic Normal Coupled-Cluster Theory for Accurate Determination of Electric Dipole Moments of Atoms: First application to ${}^{199}$Hg atom
• Measurement of the Electric Dipole Moment of ${}^{171}$Yb Atoms in an Optical Dipole Trap
• Global analysis of CP-violation in atoms, molecules and role of medium-heavy systems
• The role of relativistic many-body theory in probing new physics beyond the standard model via the electric dipole moments of diamagnetic atoms
• Ab initio Calculations of Electric Dipole Polarizabilities in the Li, Na and K Atoms
• Demonstrating Correlation Trends in the Electric Dipole Polarizabilities of Many Low-lying States in Cs I through First-principle Calculations
• Investigating properties of Cl${}^{-}$ and Au${}^{-}$ ions using relativistic many-body methods