Relativistic coupled-cluster calculations of nuclear spin-dependent parity non-conservation in Cs, Ba$^+$ and Ra$^+$

TL;DR

This paper develops a relativistic coupled-cluster method to accurately compute nuclear spin-dependent parity non-conservation effects in heavy atoms, aiding experimental detection of nuclear anapole moments.

Contribution

The authors introduce a perturbative relativistic coupled-cluster approach specifically designed for calculating nuclear spin-dependent PNC amplitudes in heavy atoms.

Findings

Calculated $E1_{PNC}^{NSD}$ for Cs, Ba$^+$, and Ra$^+$.

Provided theoretical support for ongoing and future experiments.

Enhanced understanding of nuclear spin-dependent parity violation mechanisms.

Abstract

We have developed a relativistic coupled-cluster theory to incorporate nuclear spin-dependent interaction Hamiltonians perturbatively. This theory is ideal to calculate parity violating nuclear spin-dependent electric dipole transition amplitudes, $E1_{\rm PNC}^{\rm NSD}$, of heavy atoms. Experimental observation of which is a clear signature of nuclear anapole moment, the dominant source of nuclear spin-dependent parity violation in atoms and ions. We apply the theory to calculate $E1_{\rm PNC}^{\rm NSD}$ of Cs, which to date has provided the best atomic parity violation measurements. We also calculate $E1_{\rm PNC}^{\rm NSD}$ of Ba$^+ $ and Ra$^+$, candidates of ongoing and proposed experiments.