中国物理B ›› 2025, Vol. 34 ›› Issue (12): 123101-123101.doi: 10.1088/1674-1056/ade8e3

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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. 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
  • 收稿日期:2025-05-07 修回日期:2025-06-10 接受日期:2025-06-27 发布日期:2025-12-04
  • 通讯作者: Ben-Quan Lu, Hong Chang E-mail:lubenquan@ntsc.ac.cn;changhong@ntsc.ac.cn
  • 基金资助:
    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).

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. 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
  • Received:2025-05-07 Revised:2025-06-10 Accepted:2025-06-27 Published:2025-12-04
  • Contact: Ben-Quan Lu, Hong Chang E-mail:lubenquan@ntsc.ac.cn;changhong@ntsc.ac.cn
  • Supported by:
    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).

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摘要： 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.

关键词: Lu+ ion, magnetic dipole transition, electric quadrupole transition, hyperfine-induced interaction, lifetime

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.

Key words: Lu+ ion, magnetic dipole transition, electric quadrupole transition, hyperfine-induced interaction, lifetime

中图分类号:  (Ab initio calculations)

  • 31.15.A-
31.15.ag (Excitation energies and lifetimes; oscillator strengths) 31.15.aj (Relativistic corrections, spin-orbit effects, fine structure; hyperfine structure) 31.15.vj (Electron correlation calculations for atoms and ions: excited states)