Hyperfine structure in ${}^{229g}$Th${}^{3+}$ as a probe of the ${}^{229g}$Th $\to$ ${}^{229m}$Th nuclear excitation energy

Abstract

We identify a potential means to extract the ${}^{229g}$Th $\to$ ${}^{229m}$Th nuclear excitation energy from precision microwave spectroscopy of the $5F_{5/2,7/2}$ hyperfine manifolds in the ion ${}^{229g}$Th${}^{3+}$. The hyperfine interaction mixes this ground fine structure doublet with states of the nuclear isomer, introducing small but observable shifts to the hyperfine sub-levels. We demonstrate how accurate atomic structure calculations may be combined with measurement of the hyperfine intervals to quantify the effects of this mixing. Further knowledge of the magnetic dipole decay rate of the isomer, as recently reported, allows an indirect determination of the nuclear excitation energy.

5 pages

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• Proposal for a Nuclear Gamma-Ray Laser of Optical Range
• Performance of a 229 Thorium solid-state nuclear clock
• Real time description of fission
• Magnetic dipole and electric quadrupole moments of the 229Th nucleus
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Cited by in corpus (12)

• Nuclear clocks based on resonant excitation of gamma-transitions
• Radiative lifetime and energy of the low-energy isomeric level in ${}^{229}$Th
• The ${}^{229}$Th isomer: prospects for a nuclear optical clock
• Theoretical predictions for the magnetic dipole moment of ${}^{229m}$Th
• Nuclear charge radii of ${}^{229}$Th from isotope and isomer shifts
• Ground-state $g$ factor of highly charged ${}^{229}$Th ions: an access to the M1 transition probability between the isomeric and ground nuclear states
• Towards a 229Th-based nuclear clock
• Excitation of the ${}^{229}$Th nucleus via a two-photon electronic transition
• Anomalous Hyperfine Structure of the ${}^{229}$Th Ground-State Doublet in Muonic Atom
• Magnetic hyperfine structure of the ground-state doublet in highly charged ions ${}^{229}$Th${}^{89+,87+}$ and the Bohr-Weisskopf effect
• Relativistic coupled-cluster calculation of hyperfine-structure constants of ${}^{229}$Th${}^{3+}$ and evaluation of the electromagnetic nuclear moments of ${}^{229}$Th
• Shift of nuclear clock transition frequency in ${}^{229}$Th ions due to hyperfine interaction