Comprehensive Assessment of ${\mathrm{Th}}^{3+}$ Properties for Nuclear Clock and Fundamental Physics Applications

Abstract

By employing singles, doubles, and triples excitations within the relativistic coupled-cluster framework, we perform comprehensive calculations of a wide range of atomic properties for the Th${}^{3+}$ ion. These properties are essential for advancing nuclear clock technology and probing fundamental physics. Combining our isotope shift parameters with experimental data, we estimate highly accurate values of the differential nuclear charge radii for ${}^{232,229}$Th and ${}^{229m,229}$Th. Additionally, we determine the nuclear magnetic dipole and electric quadrupole moments for both the ground and isomeric states of ${}^{229}$Th by combining measured hyperfine structure constants with our theoretical calculations. Our precise evaluations of electric dipole polarizabilities and hyperfine-induced quadrupole moments are critical for assessing systematic uncertainties in ${}^{229}$Th${}^{3+}$-based nuclear clock. Notably, we observe unexpectedly significant contributions from higher-order relativistic effects and excitations involving orbitals with higher angular momentum, which markedly influence the energies of the ground state and its fine-structure partner. These results highlight the substantial challenges in achieving highly accurate predictions for these properties.

5 pages, 2 figures, 5 tables

References in corpus (20)

• Search for New Physics with Atoms and Molecules
• A Single-Ion Nuclear Clock for Metrology at the 19th Decimal Place
• Enhanced effect of temporal variation of the fine structure constant in diatomic molecules
• Frequency ratio of the ${}^{229\mathrm{m}}$Th nuclear isomeric transition and the ${}^{87}$Sr atomic clock
• Laser spectroscopic characterization of the nuclear clock isomer ${}^{229m}$Th
• Observation of the radiative decay of the ${}^{229}\mathrm{Th}$ nuclear clock isomer
• Wigner Crystals of 229Th for Optical Excitation of the Nuclear Isomer
• A proposed experimental method to determine $\alpha$-sensitivity of splitting between ground and 7.6 eV isomeric states in Th-229
• Nuclear recoil corrections to the $2p_{\frac{3}{2}}$ state energy of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
• Magnetic dipole and electric quadrupole moments of the 229Th nucleus
• Theoretical predictions for the magnetic dipole moment of ${}^{229m}$Th
• Nuclear charge radii of ${}^{229}$Th from isotope and isomer shifts
• Precision calculation of hyperfine constants for extracting nuclear moments of 229Th
• Effects of electrons on nuclear clock transition frequency in ${}^{229}$Th ions
• Relativistic many-body calculation of energies, oscillator strengths, transition rates, lifetimes, polarizabilities, and quadrupole moment of Fr-like Th IV ion
• Relativistic coupled-cluster calculation of hyperfine-structure constants of ${}^{229}$Th${}^{3+}$ and evaluation of the electromagnetic nuclear moments of ${}^{229}$Th
• Hyperfine-induced quadrupole moments of alkali-metal atom ground states and their implications for atomic clocks
• Prediction of Nuclear Clock Transitions Frequency Difference between ${}^{229}$Th${}^{3+}$ and ${}^{229}$Th${}^{4+}$ via \textit{ab-initio} Self-Consistent Field Theory
• Ab initio Calculations of Electric Dipole Polarizabilities in the Li, Na and K Atoms
• Demonstrating Correlation Trends in the Electric Dipole Polarizabilities of Many Low-lying States in Cs I through First-principle Calculations