Magnetic quadrupole moment of $^{175}$Lu and parity-violating polarization degree of levels in $^{175}$LuOH$^+$

TL;DR

This paper calculates parity-violating polarizations related to the electron EDM and nuclear MQM in $^{175}$Lu and analyzes the rovibrational structure of $^{175}$LuOH$^+$ to aid future experimental measurements.

Contribution

It provides detailed calculations of parity-violating effects and rovibrational structure of $^{175}$LuOH$^+$, including molecular stretching effects, to support future $e$EDM and MQM experiments.

Findings

Calculated parity-violating polarizations for $^{175}$Lu

Determined rovibrational structure of $^{175}$LuOH$^+$

Assessed effects of molecular bending and stretching

Abstract

The calculation of the parity-violating polarizations in the external electric field, which are associated with the electron electric dipole moment ($e$EDM) and magnetic quadrupole moment (MQM) of the $^{175}$Lu nucleus, as well as the determination of the rovibrational structure for the $^{175}$LuOH$^+$ cation, is performed. Beyond the bending of the molecule, the slight effect of the stretching of the distance between Lu and OH is taken into account. This study is required for the preparation of the experiment and for the extraction of the $e$EDM and MQM values of $^{175}$Lu from future measurements.