Accurate numerical evaluation of systematics in the experiment for electron electric dipole moment measurement in HfF$^+$

TL;DR

This paper presents precise calculations of hyperfine structures in HfF$^+$ ions to analyze systematic effects in $e$EDM experiments, accounting for various perturbations under external fields.

Contribution

It provides a detailed numerical evaluation of hyperfine structures considering multiple perturbations, aiding systematic effect analysis in $e$EDM measurements.

Findings

Hyperfine structure calculations under external fields.

Assessment of perturbations affecting $e$EDM spectroscopy.

Enhanced understanding of systematic effects in molecular $e$EDM experiments.

Abstract

Hyperfine structure of the ground rotational level of the metastable $^3\Delta_1$ electronic state of $^{180}$HfF$^+$ ion is calculated at presence of variable external electric and magnetic fields. Calculations are required for analysis of systematic effects in experiment for electron electric dipole moment ($e$EDM) search. Different perturbations in molecular spectra important for $e$EDM spectroscopy are taken into account.