Relativistic all-order calculations of Th, Th${}^{+}$ and Th${}^{2+}$ atomic properties

Abstract

Excitation energies, term designations, and $g$-factors of Th, Th${}^{+}$ and Th${}^{2+}$ are determined using a relativistic hybrid configuration interaction (CI) + all-order approach that combines configuration interaction and linearized coupled-cluster methods. The results are compared with other theory and experiment where available. We find some "vanishing" $g$-factors, similar to those known in lanthanide spectra. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for Th${}^{2+}$. To estimate the uncertainties of our results, we compared our values with the available experimental lifetimes for higher $5f7p{}^3{G}_4$, $7s7p{}^3{P}_0$, $7s7p{}^3{P}_1$, and $6d7p{}^3{F}_4$ levels of Th${}^{2+}$. These calculations provide a benchmark test of the CI+all-order method for heavy systems with several valence electrons and yield recommended values for transition rates and lifetimes of Th${}^{2+}$.

arXiv comment13 pages

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