# Theoretical study of $^{173}$YbOH to search for the nuclear magnetic quadrupole moment

## TL;DR

This paper provides a theoretical analysis of the $^{173}$YbOH molecule to evaluate its potential for detecting the nuclear magnetic quadrupole moment (MQM) as a probe of CP violation, incorporating advanced relativistic electron correlation methods.

## Contribution

It estimates the nuclear MQM and molecular interaction constant WM for $^{173}$YbOH using relativistic coupled cluster calculations, linking results to fundamental CP-violating parameters.

## Key findings

- Estimated nuclear MQM and WM for $^{173}$YbOH.
- Quantified electron correlation effects on CP-violating interactions.
- Connected molecular properties to fundamental CP-violating constants.

## Abstract

CP-violating interaction of the nuclear magnetic quadrupole moment (MQM) with electrons in the ytterbium mono-hydroxide molecule, $^{173}$YbOH, is considered. Both the magnetic quadrupole moment (MQM) of the $^{173}$Yb nucleus and the molecular interaction constant WM are estimated. Electron correlation effects are taken into account within the relativistic Fock-space coupled cluster method. Results are interpreted in terms of the strength constants of CP-violating nuclear forces, neutron EDM, QCD vacuum angle $\theta$, quark EDM and chromo-EDM.