Precision calculation of hyperfine constants for extracting nuclear moments of 229Th

Abstract

Determination of nuclear moments for many nuclei relies on the computation of hyperfine constants, with theoretical uncertainties directly affecting the resulting uncertainties of the nuclear moments. In this work we improve the precision of such method by including for the first time an iterative solution of equations for the core triple cluster amplitudes into the relativistic coupled-cluster method, with large-scale complete basis sets. We carried out calculations of the energies and magnetic dipole and electric quadrupole hyperfine structure constants for the low-lying states of 229Th^(3+) in the framework of such relativistic coupled-cluster single double triple (CCSDT) method. We present a detailed study of various corrections to all calculated properties. Using the theory results and experimental data we found the nuclear magnetic dipole and electric quadrupole moments to be mu = 0.366(6)*mu_N and Q = 3.11(2) eb, and reducing the uncertainty of the quadrupole moment by a factor of three. The Bohr-Weisskopf effect of the finite nuclear magnetization is investigated, with bounds placed on the deviation of the magnetization distribution from the uniform one.

6 pages, 1 fugure

References in corpus (8)

• Enhanced effect of temporal variation of the fine structure constant in diatomic molecules
• Measurement of the ${}^{229}$Th isomer energy with a magnetic micro-calorimeter
• Study of highly-charged Ag-like and In-like ions for the development of atomic clocks and search for $\alpha$-variation
• Relativistic coupled-cluster single-double method applied to alkali-metal atoms
• QED shifts in multivalent heavy ions
• ${}^{229m}$Th isomer from a nuclear model perspective
• Atomic calculations of hyperfine structure anomaly in gold
• Role of triple excitations in calculating different properties of Ba+

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