Relativistic calculations of the lifetimes and hyperfine structure constants in $^{67}$Zn$^{+}$

TL;DR

This paper uses relativistic coupled-cluster calculations to accurately determine hyperfine constants and lifetimes of $^{67}$Zn$^{+}$, addressing previous discrepancies and highlighting electron correlation effects.

Contribution

It provides the first relativistic coupled-cluster calculations of hyperfine constants and lifetimes for $^{67}$Zn$^{+}$, resolving prior disagreements.

Findings

Relativistic CC theory yields accurate hyperfine constants.

Electron correlation effects significantly influence results.

The study resolves previous lifetime estimation discrepancies.

Abstract

This work presents accurate {\it ab initio} determination of the magnetic dipole (M1) and electric quadrupole (E2) hyperfine structure constants for the ground and a few low-lying excited states in $^{67}$Zn$^{+}$, which is one of the interesting systems in fundamental physics. The coupled-cluster (CC) theory within the relativistic framework has been used here in this calculations. Long standing demands for a relativistic and highly correlated calculations like CC can be able to resolve the disagreements among the lifetime estimations reported previously for a few low-lying states of Zn$^{+}$. The role of different electron correlation effects in the determination of these quantities are discussed and their contributions are presented.