Study of systematic effects in the HfF${}^{+}$ ion experiment to search for the electron electric dipole moment

Abstract

The energy splitings for $J=1$, $F=3/2$, $|M_F|=3/2$ hyperfine levels of the ${}^3{\Delta }_1$ electronic state of ${}^{180}$Hf${}^{19}$F${}^{+}$ ion are calculated as functions of the external variable electric and magnetic fields within two approaches. In the first one transition to the rotating frame is performed, whereas in the second approach the quantization of rotating electromagnetic field is performed. Calculations are required for understanding possible systematic errors in the experiment to search for electron electric dipole moment (eEDM) on ${}^{180}$Hf${}^{19}$F${}^{+}$ ion.

References in corpus (10)

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Cited by in corpus (11)

• Sensitivity of the YbOH molecule to $\mathcal{P}$,$\mathcal{T}$-odd effects in the external electric field
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state
• Evaluation of CP-violation in HfF${}^{+}$
• Rovibrational structure of the Ytterbium monohydroxide molecule and the $\mathcal{P}$,$\mathcal{T}$-violation searches
• Rotating and vibrating symmetric top molecule RaOCH${}_3$ in the fundamental $\mathcal{P}$, $\mathcal{T}$-violation searches
• $\mathcal{P}$,$\mathcal{T}$-odd energy shifts of the ${}^{173}$YbOH
• Impact of the ligand deformation on the $\mathcal{P}$,$\mathcal{T}$-violation effects in the YbOH molecule
• $\mathcal{P}$, $\mathcal{T}$-odd Faraday rotation in intracavity absorption spectroscopy with molecular beam as a possible way to improve the sensitivity of the search for the time reflection noninvariant effects in nature
• Electric-field-dependent $g$ factor for the ground state of lead monofluoride, PbF
• HfF${}^{+}$ as a candidate to search for the nuclear weak quadruple moment
• Accurate numerical evaluation of systematics in the experiment for electron electric dipole moment measurement in HfF${}^{+}$