Demonstrating Correlation Trends in the Electric Dipole Polarizabilities of Many Low-lying States in Cs I through First-principle Calculations

Abstract

Electron correlation and higher-order relativistic effects are probed in the evaluation of scalar and tensor static electric dipole (E1) polarizabilities (${\alpha }_d$) of several even- and odd-parity states in cesium (Cs) using the Dirac-Hartree-Fock (DHF) method, second-order perturbation theory (MBPT(2)), third-order perturbation theory (MBPT(3)), random phase approximation (RPA), and singles and doubles approximated relativistic coupled-cluster (RCCSD) method. To account for perturbation due to odd-parity E1 operator on the atomic orbitals, calculations are carried out in the linear response approach. Our final ${\alpha }_d$ values, with the estimated uncertainties, show reasonably good agreement with the previous calculations and available experimental results. Differences among the DHF, MBPT(2), MBPT(3) and RPA results indicate pair-correlation (PC) effects play major roles than the core-polarization (CP) effects in the determination of ${\alpha }_d$ values in Cs. From the differences among the MBPT(3) and RCC results, we find correlations among the PC and CP effects and double CP effects together are also significant in these calculations. Contributions from the Breit interactions are found to be quite large in the high-lying states.

v1:12 pages, 6 figures, 3 tables, v2: Fixed some typo errors

References in corpus (7)

• An {\it ab initio} relativistic coupled-cluster theory of dipole and quadrupole polarizabilities: Applications to a few alkali atoms and alkaline earth ions
• Relativistic Normal Coupled-cluster Theory Analysis of Second- and Third-order Electric Polarizabilities of Zn I
• Measurement of the Stark shift of the $6s^2{S}_{1/2}\to 7p^2{P}_J$ transitions in atomic cesium
• Deciphering Core, Valence and Double-Core-Polarization Contributions to Parity Violating Amplitudes in ${}^{133}$Cs using Different Methods
• High-precision Electric Dipole Polarizabilities of the Clock States in ${}^{133}$Cs
• Ab initio Calculations of Electric Dipole Polarizabilities in the Li, Na and K Atoms
• High-accuracy Nuclear Spin Dependent Parity Violating Amplitudes in ${}^{133}$Cs

Cited by in corpus (2)

• Investigating Roles of Triple Excitations for High-precision Determination of Clock Properties of Alkaline Earth Metal Singly Charged Ions
• Comprehensive Assessment of ${\mathrm{Th}}^{3+}$ Properties for Nuclear Clock and Fundamental Physics Applications