$\mathcal{P},\mathcal{T}$-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.

arXiv comment7 pages, 1 table, 0 figures

References in corpus (19)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
• Electric dipole moments as probes of new physics
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• The origin of the matter-antimatter asymmetry
• A precision measurement of the electron's electric dipole moment using trapped molecular ions
• Flavour physics of leptons and dipole moments
• Electric Dipole Moments: A Global Analysis
• Precision Spectroscopy of Polarized Molecules in an Ion Trap
• Towards the electron EDM search: Theoretical study of HfF+
• Theoretical study of HfF${}^{+}$ cation to search for the T,P-odd interactions
• Electron Electric Dipole Moment and Hyperfine Interaction Constants for ThO
• Methods, Analysis, and the Treatment of Systematic Errors for the Electron Electric Dipole Moment Search in Thorium Monoxide
• Broadband velocity modulation spectroscopy of HfF^+: towards a measurement of the electron electric dipole moment
• A robust limit for the electric dipole moment of the electron
• TaO${}^{+}$, a Candidate Molecular Ion in Search of Physics Beyond the Standard Model
• Zeeman interaction in ${}^3{\Delta }_1$ state of HfF${}^{+}$ to search for the electron electric-dipole-moment
• Relations between matrix elements of different weak interactions and interpretation of the PNC and EDM measurements in atoms and molecules

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