# A theoretical study of the g-factor of the 6s6p 3P0 state of mercury

## TL;DR

This paper presents a high-precision relativistic calculation of the g-factor for the 6s6p 3P0 state in mercury isotopes, aligning well with experimental data and providing hyperfine quenching rates and lifetimes.

## Contribution

It introduces a combined configuration interaction and coupled-cluster method to accurately compute the g-factor and hyperfine properties of mercury isotopes.

## Key findings

- Calculated g-factors agree with experimental data within 0.5%
- Determined hyperfine quenching rates and lifetimes for 199Hg and 201Hg
- Provided theoretical benchmarks for mercury's 3P0 state properties

## Abstract

We calculate the g-factor of the 6s6p 3P0 state of 199 and 201 mercury isotopes using a relativistic high-precision all-order method that combines the configuration interaction and the coupled-cluster approaches. Our values $g(199Hg) = -0.9485(49)*10^{-3}$ and $g(201Hg) = -0.3504(18)*10^{-3}$ are in agreement with the experimental measurements within the 0.5% theoretical uncertainty. We also calculate the hyperfine quenching rate of the 6s6p 3P0 state in 199Hg and 201Hg and determine its lifetime to be 1.3 and 1.9 s, respectively.