$\mathcal{P},\mathcal{T}$-Odd and Magnetic Hyperfine Interaction Constants and Excited-State Lifetime for HfF${}^{+}$

Abstract

Parity- and time-reversal-symmetry violating interaction constants required for the interpretation of a recent measurement (arXiv:1704.07928 [physics.atom-ph]) of corresponding symmetry violations in the $\Omega =1$ (${{}^3\Delta }_1$) science state of the HfF${}^{+}$ molecular ion are reported. Using a relativistic four-component all-electron multi-reference configuration interaction model the nucleon-electron scalar-pseudoscalar interaction constant is determined as $W_S=20.0$ [kHz]. An updated result for the electron electric-dipole-moment effective electric field of $|E_{\text{eff}}|=22.7\left[\frac{\mathrm{GV}}{\mathrm{cm}}\right]$ is obtained. Further results of relevance in the context of the search for leptonic charge-parity violation such as magnetic hyperfine interaction constants and electronic $G$-tensor for HfF${}^{+}$ are presented.

7 pages, 1 table, 0 figures

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• Flavour physics of leptons and dipole moments
• Electric Dipole Moments: A Global Analysis
• Broadband velocity modulation spectroscopy of HfF^+: towards a measurement of the electron electric dipole moment
• TaO${}^{+}$, a Candidate Molecular Ion in Search of Physics Beyond the Standard Model

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