Accurate determination of the electric dipole matrix elements, lifetimes, polarizabilities and light-shift ratios in Ba+ and Ra+

TL;DR

This paper employs relativistic coupled-cluster theory to accurately calculate electric dipole matrix elements, lifetimes, and polarizabilities in Ba+ and Ra+ ions, aiding precision measurements and error estimation in experiments.

Contribution

It provides new high-precision calculations of matrix elements, lifetimes, and polarizabilities in Ba+ and Ra+ using relativistic coupled-cluster theory, enhancing experimental accuracy.

Findings

Calculated matrix elements for Ba+ and Ra+.

Estimated errors in Ba+ matrix elements using experimental data.

Determined lifetimes and polarizabilities for low-lying states.

Abstract

We have employed the relativistic coupled-cluster theory to calculate the electric dipole matrix elements in the singly ionized barium (Ba$^+$) and radium (Ra$^+$). Matrix elements of Ba$^+$ are used to determine the light-shift ratios for two different wavelengths on which recent experiments are carried out. By combining the measured light-shift ratios and our calculations, we are able to estimate possible errors associate with the used matrix elements in Ba$^+$. Static polarizabilities of the low-lying states and lifetimes of the first excited P-states are also determined using these matrix elements in Ba$^+$. A similar approach has been followed to estimate the lifetimes and light-shift ratios in Ra$^+$.