Ab initio relativistic many-body calculation of hyperfine splitting of ^{113}Cd^+

TL;DR

This paper uses relativistic coupled-cluster theory to accurately calculate hyperfine splittings and lifetimes of 113Cd+ ion states, aligning well with experimental data and highlighting electron correlation effects.

Contribution

It provides the first ab initio relativistic calculations of hyperfine splittings and lifetimes for 113Cd+ using coupled-cluster theory, with detailed analysis of correlation effects.

Findings

Calculated hyperfine splittings agree with recent experiments.

Lifetimes of 5p2P states match experimental results.

Electron correlation effects significantly influence the results.

Abstract

This work presents accurate ab initio determination of the hyperfine splitting for the ground state and few low-lying excited states of 113Cd+; important candidates for the frequency standard in the microwave region, using coupled-cluster theory (CC) in the relativistic framework. The calculated hyperfine splitting are well in agreement with recent experimental results. We have also carried out the lifetimes of the 5p2P1=2 and 5p2P3=2 states, which are in well agreement with recent experimental result (Moehring et al., PRA 73 023413, 2006). The roles of different electron correlation effects in the determination of these quantities are discussed and their contributions are presented in the CC terms.