Fock-space perturbed relativistic coupled-cluster theory for electric dipole polarizability of one-valence atomic systems: Application to Al and In

Abstract

We have developed a Fock-space relativistic coupled-cluster theory based method for the calculation of electric dipole polarizability of one-valence atoms and ions. We employ this method to compute the ground-state and spin-orbit coupled excited state electric dipole polarizability of Al and In. To check the quality of many-electron wavefunctions, we also compute the excitation energies of some low-lying states of Al and In. The effects of Breit interaction and QED corrections from the Uehling potential and the self-energy are included to improve the accuracy of $\alpha$ further. Our recommended value of ground-state $\alpha$ for both atoms are in good agreement with the previous theoretical results. From our computations, we find that more than 65\% of contributions come from the dipolar mixing of $3p$($5p$) with $3d$($5d$) and $4s$($6s$)-electrons for Al(In). The largest Breit and QED contributions are found to be 1.3\% and 0.6\%, respectively.

arXiv comment17 pages, 15 figures, 6 tables

References in corpus (28)

• Frequency Comparison of Two High-Accuracy Al+ Optical Clocks
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Improved limit on the permanent electric dipole moment of 199Hg
• Theory and applications of atomic and ionic polarizabilities
• High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms
• Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms
• Model operator approach to the Lamb shift calculations in relativistic many-electron atoms
• Precision calculation of blackbody radiation shifts for optical frequency metrology
• Sympathetic ground state cooling and time-dilation shifts in an ${}^{27}{\text{Al}}^{+}$ optical clock
• Fundamental units: physics and metrology
• Astrophysical constraints on hypothetical variability of fundamental constants
• 35 Years of Testing Relativistic Gravity: Where do we go from here?
• Precision Spectroscopy of Atomic Hydrogen and Variations of Fundamental Constants
• Cold Atom Clocks, Precision Oscillators and Fundamental Tests
• Oklo Constraint on the Time-Variability of the Fine-Structure Constant
• Millisecond Pulsars as Tools of Fundamental Physics
• Comment on "Limits on the Time Variation of the Electromagnetic Fine-Structure Constant in the Low Energy Limit from Absorption Lines in the Spectra of Distant Quasars"
• A New Approach To Relativistic Gaussian Basis Functions: Theory And Applications
• Measurements of ${}^{27}$Al${}^{+}$ and ${}^{25}$Mg${}^{+}$ magnetic constants for improved ion clock accuracy
• Properties from relativistic coupled-cluster without truncation: hyperfine constants of ${}^{25}{\mathrm{Mg}}^{+}$, ${}^{43}{\mathrm{Ca}}^{+}$, ${}^{87}{\mathrm{Sr}}^{+}$ and ${}^{137}{\mathrm{Ba}}^{+}$
• Polarizabilities, Stark shifts, and lifetimes of In atom
• Relativistic coupled-cluster calculations of ${}^{20}$Ne, ${}^{40}$Ar, ${}^{84}$Kr and ${}^{129}$Xe: correlation energies and dipole polarizabilities
• Electric dipole polarizability of alkaline-Earth-metal atoms from perturbed relativistic coupled-cluster theory with triples
• Anomalously small blackbody radiation shift in Tl+ frequency standard
• Perturbed Coupled-Cluster theory to calculate dipole polarizabilities of closed shell systems: Application to Ar, Kr, Xe and Rn
• Electric dipole polarizability of group-IIIA ions using PRCC: Large correlation effects from nonlinear terms
• RCCPAC: A parallel relativistic coupled-cluster program for closed-shell and one-valence atoms and ions in FORTRAN
• Fock-space relativistic coupled-cluster calculation of hyperfine induced ${}^1{\mathbf{S}}_0\to {}^3{\mathbf{P}}_0^{\mathbf{o}}$ clock transition in Al${}^{+}$

Cited by in corpus (2)

• Relativistic and Electron Correlation Effects in Static Dipole Polarizabilities for Main-Group Elements
• Influence of a Perfectly Conducting Plate on the Uehling Potential of QED