$\mathcal{T,P}$-odd effects in the LuOH$^+$ cation

TL;DR

This paper investigates $ ext{T,P}$-odd effects in the LuOH$^+$ cation, focusing on how these effects can be used to detect fundamental symmetry violations related to the electron EDM and scalar-pseudoscalar interactions.

Contribution

It provides detailed calculations of enhancement factors, polarization, hyperfine interactions, and rovibrational structure of LuOH$^+$ for experimental searches of symmetry violations.

Findings

Calculated enhancement factors for $ ext{T,P}$-odd effects.

Analyzed polarization in external electric fields.

Provided rovibrational structure data for LuOH$^+$.

Abstract

The LuOH$^+$ cation is a promising system to search for manifestations of time reversal and spatial parity violation effects. Such effects in LuOH$^+$ induced by the electron electric dipole moment $e$EDM and the scalar-pseudoscalar interaction of the nucleus with electrons, characterized by $k_s$ constant, in LuOH$^+$ are studied. The enhancement factors, polarization in the external electric field, hyperfine interaction, rovibrational structure are calculated. The study is required for the experiment preparation and extraction of the eEDM and ks values from experimental data.