Accurate determination of energy levels, hyperfine structure constants, lifetimes and dipole polarizabilities of triply ionized tin isotopes

Abstract

We have investigated energies, magnetic dipole hyperfine structure constants ($A_{hyf}$) and electric dipole (E1) matrix elements of a number of low-lying states of the triply ionized tin (Sn${}^{3+}$) by employing relativistic coupled-cluster theory. Contributions from the Breit interaction and lower-order quantum electrodynamics (QED) effects in determination of above quantities are also given explicitly. These higher-order relativistic effects are found to be important for accurate evaluation of energies, while QED contributions are seen to be contributing significantly to the determination of $A_{hyf}$ values. Our theoretical results for energies are in agreement with one of the measurements but show significant differences for some states with another measurement. Reported $A_{hyf}$ will be useful in guiding measurements of hyperfine levels in the stable isotopes of Sn${}^{3+}$. The calculated E1 matrix elements are further used to estimate oscillator strengths, transition probabilities and dipole polarizabilities ($\alpha$) of many states. Large discrepancies between present results and previous calculations of oscillator strengths and transition probabilities are observed for a number of states. The estimated $\alpha$ values will be useful for carrying out high precision measurements using Sn${}^{3+}$ ion in future experiments.

arXiv comment9 pages, accepted for publication in Journal of Physics B

References in corpus (20)

• An Optical Lattice Clock with Accuracy and Stability at the $10^{-18}$ Level
• An atomic clock with $10^{-18}$ instability
• Highly charged ions: optical clocks and applications in fundamental physics
• Enhanced laboratory sensitivity to variation of the fine-structure constant using highly-charged ions
• Highly-charged ions for atomic clocks, quantum information, and search for $\alpha$-variation
• Atomic many-body effects and Lamb shifts in alkali metals
• Third-order relativistic many-body calculations of energies and lifetimes of levels along the silver isoelectronic sequence
• Multipolar Black Body Radiation Shifts for the Single Ion Clocks
• Correlation Trends in the Hyperfine Structures of ${}^{210,212}$Fr
• Selective highly charged ions as the prospective optical clock candidates with quality factors larger than $10^{15}$
• Discovery of Enhanced Germanium Abundances in Planetary Nebulae with FUSE
• Conforming the measured lifetimes of the $5d{}^2{D}_{3/2,5/2}$ states in Cs with theory
• Beyond the iron group: heavy metals in hot subdwarfs
• Quadrupole Shifts for the ${}^{171}$Yb${}^{+}$ Ion Clocks: Experiments versus Theories
• Spectacular Role of Electron Correlation in the Hyperfine Interactions in ${}^2{D}_{5/2}$ States in Alkaline Earth Ions
• Application of Relativistic Coupled-cluster Theory to Heavy Atomic Systems with Strongly Interacting Configurations: Hyperfine Interactions in ${}^{207}P{b}^{+}$
• Accurate estimations of electromagnetic transitions of Sn IV for stellar and interstellar media
• Relativistic coupled-cluster theory analysis of energies, hyperfine structure constants, and dipole polarizabilities of Cd${}^{+}$
• Energy Level Structure of Sn${}^{3+}$ Ions
• Estimation of BBR shift due to Stark effect for the Microwave ${}^{113}$Cd${}^{+}$ Ion Clock

Cited by in corpus (2)

• Heavy-metal enrichment of intermediate He-sdOB stars: the pulsators Feige 46 and LS IV -14 116 revisited
• Quantum defects of $n$F${}_J$ levels of Cs Rydberg atoms