Search for CP-violating nuclear magnetic quadrupole moment using the LuOH$^+$ cation

TL;DR

This paper investigates the potential of the LuOH$^+$ cation to detect CP-violating nuclear magnetic quadrupole moments, linking fundamental CP-violation parameters with molecular measurements.

Contribution

It provides calculations of the nuclear MQM, molecular interaction constants, and hyperfine structure constants for LuOH$^+$, proposing it as a promising system for CP-violation studies.

Findings

Calculated nuclear MQM and interaction constants for LuOH$^+$

Predicted hyperfine structure constants for ground state

LuOH$^+$ identified as promising for measuring nuclear MQM

Abstract

The CP-violating interaction of the nuclear magnetic quadrupole moment (MQM) of the $^{175}$Lu nucleus with electrons in the molecular cation LuOH$^+$ is studied. The resulting effect is expressed in terms of CP-odd parameters, such as quantum chromodynamics angle $\bar{\theta}$, quark electric dipole moment (EDM) and chromo-EDM. For this we have performed a calculation of the nuclear MQM as well as the molecular constant that characterises the interaction of this MQM of $^{175}$Lu with electrons. Additionally, we predict the hyperfine structure constants for the ground electronic state of LuOH$^+$. We conclude that LuOH$^+$ is a promising system to measure the nuclear MQM.