Calculation of nuclear-spin-dependent parity nonconservation in s-d transitions of Ba$^+$, Yb$^+$ and Ra$^+$ ions

TL;DR

This paper calculates nuclear-spin-dependent parity nonconservation amplitudes in specific ion transitions using advanced many-body techniques, aiding the extraction of nuclear interaction constants from experimental data.

Contribution

It introduces precise calculations of parity nonconserving amplitudes in Ba$^+$, Yb$^+$, and Ra$^+$ ions, facilitating experimental determination of nuclear-spin-dependent interactions.

Findings

Calculated parity nonconserving amplitudes for Ba$^+$, Yb$^+$, and Ra$^+$.

Provided results in a form suitable for extracting nuclear interaction constants.

Enhanced theoretical tools for interpreting atomic parity violation experiments.

Abstract

We use correlation potential and many-body perturbation theory techniques to calculate spin-independent and nuclear spin-dependent parts of the parity nonconserving amplitudes of the transitions between the $6s_{1/2}$ ground state and the $5d_{3/2}$ excited state of Ba$^+$ and Yb$^+$ and between the $7s_{1/2}$ ground state and the $6d_{3/2}$ excited state of Ra$^+$. The results are presented in a form convenient for extracting of the constants of nuclear-spin-dependent interaction (such as, e.g., anapole moment) from the measurements.