Comparative studies of dipole polarizabilities in Sr$^+$, Ba$^+$ and Ra$^+$ and their applications to optical clocks

TL;DR

This paper calculates and compares the static dipole polarizabilities of Sr$^+$, Ba$^+$, and Ra$^+$ ions using relativistic coupled-cluster methods, analyzing their implications for optical clock accuracy.

Contribution

It provides detailed calculations of polarizabilities and shifts in these ions, offering insights for improving optical frequency standards.

Findings

Polarizabilities are systematically calculated for ground and metastable states.

Stark and black-body radiation shifts are estimated and compared with experimental data.

Trends of electron correlation effects are analyzed across the ions.

Abstract

Static dipole polarizabilities are calculated in the ground and metastable states of Sr$^+$, Ba$^+$ and Ra$^+$ using the relativistic coupled-cluster method. Trends of the electron correlation effects are investigated in these atomic ions. We also estimate the Stark and black-body radiation shifts from these results for these systems for the transitions proposed for the optical frequency standards and compare them with available experimental data.