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Theoretical calculations on lifetimes of the low-lying excited states in Lu+ |
| Ting Liang(梁婷)1,2,3, Min Feng(冯敏)1,2,3, Jin Cao(曹进)1,2,3, Yi-Ming Wang(王艺铭)1,2, Ben-Quan Lu(卢本全)1,2,†, and Hong Chang(常宏)1,2,3,‡ |
1 National Time Service Center, Chinese Academy of Sciences, Xi'an 710600, China;
2 School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China |
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Abstract The lifetime of the 5d6s $^{3}$D$_{1}$ clock state in Lu$^{+}$ exhibits a large discrepancy between experimental and theoretical values. To resolve this discrepancy, we perform calculations of the magnetic dipole transition rate between the 5d6s $^{3}$D$_{1}$ and 6s$^{2}$ $^{1}$S$_0$ states using the multi-configuration Dirac-Hartree-Fock method. The effects of electron correlations, Breit interaction, and quantum electrodynamics (QED) corrections on the transition parameters are analyzed systematically. The calculated 5d6s $^{3}$D$_{1}$-6s$^{2}$ $^{1}$S$_0$ magnetic dipole transition rate, $1.69(7)\times 10^{-6}$ s$^{-1}$, shows excellent agreement with the experimental measurement. To accurately determine the lifetime of the $^{3}$D$_{1}$ clock state, the hyperfine-induced electric quadrupole transition rate between the $^{3}$D$_{1}$ and ground states is also calculated. Furthermore, the rates of various transitions between states in the 5d6s configuration are obtained. The lifetimes of the $^{3}$D$_{2,3}$ and $^{1}$D$_{2}$ states are consistent with previous theoretical calculations.
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Received: 07 May 2025
Revised: 10 June 2025
Accepted manuscript online: 27 June 2025
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PACS:
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31.15.A-
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(Ab initio calculations)
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31.15.ag
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(Excitation energies and lifetimes; oscillator strengths)
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31.15.aj
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(Relativistic corrections, spin-orbit effects, fine structure; hyperfine structure)
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31.15.vj
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(Electron correlation calculations for atoms and ions: excited states)
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| Fund: Project supported by the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0300902), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB35010202), the Operation and Maintenance of Major Scientific and Technological Infrastructure of the Chinese Academy of Sciences (Grant No. 2024000014), and the Natural Science Foundation of Shaanxi Province (Grant No. 2025JC-YBMS-038). |
Corresponding Authors:
Ben-Quan Lu, Hong Chang
E-mail: lubenquan@ntsc.ac.cn;changhong@ntsc.ac.cn
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Cite this article:
Ting Liang(梁婷), Min Feng(冯敏), Jin Cao(曹进), Yi-Ming Wang(王艺铭), Ben-Quan Lu(卢本全), and Hong Chang(常宏) Theoretical calculations on lifetimes of the low-lying excited states in Lu+ 2025 Chin. Phys. B 34 123101
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