Isotope shifts due to the 1s22s 2S1/2 → 1s22p 2P1/2,3/2 transitions of Li-like Th87+ ions

doi:10.1088/1674-1056/adcb21

中国物理B ›› 2025, Vol. 34 ›› Issue (7): 73203-073203.doi: 10.1088/1674-1056/adcb21

Isotope shifts due to the 1s²2s ²S_1/2 → 1s²2p ²P_1/2,3/2 transitions of Li-like Th⁸⁷⁺ ions

Huqiang Lu(路虎强)¹, Bingbing Li(李兵兵)¹, Mingye Yang(杨明叶)³, Lin Dong(董霖)¹, Yanmin Wang(王雁敏)¹, Maijuan Li(李麦娟)¹, Lei Wu(吴磊)¹, Jiguang Li(李冀光)^3,†, Jun Jiang(蒋军)^1,‡, Chenzhong Dong(董晨钟)¹, and Denghong Zhang(张登红)^1,2,§

1 Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;
2 Department of Physics, Tianshui Normal University, Tianshui 741000, China;
3 High Energy Density Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

收稿日期:2025-02-27 修回日期:2025-03-31 接受日期:2025-04-10 出版日期:2025-06-18 发布日期:2025-07-15
通讯作者: Jiguang Li, Jun Jiang, Denghong Zhang E-mail:li_jiguang@iapcm.ac.cn;jiangjun@nwnu.edu.cn;zhangdh@nwnu.edu.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant No. 2022YFA1602500), the National Natural Science Foundation of China (Grant Nos. 1236040286, 12474250, 12174316, 12464036, and 12404306), the Young Teachers Scientific Research Ability Promotion Plan of Northwest Normal University (Grant No. NWNU-LKQN2020-10), and the Funds for Innovative Fundamental Research Group Project of Gansu Province (Grant No. 20JR5RA541).

Isotope shifts due to the 1s²2s ²S_1/2 → 1s²2p ²P_1/2,3/2 transitions of Li-like Th⁸⁷⁺ ions

1 Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;
2 Department of Physics, Tianshui Normal University, Tianshui 741000, China;
3 High Energy Density Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2025-02-27 Revised:2025-03-31 Accepted:2025-04-10 Online:2025-06-18 Published:2025-07-15
Contact: Jiguang Li, Jun Jiang, Denghong Zhang E-mail:li_jiguang@iapcm.ac.cn;jiangjun@nwnu.edu.cn;zhangdh@nwnu.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant No. 2022YFA1602500), the National Natural Science Foundation of China (Grant Nos. 1236040286, 12474250, 12174316, 12464036, and 12404306), the Young Teachers Scientific Research Ability Promotion Plan of Northwest Normal University (Grant No. NWNU-LKQN2020-10), and the Funds for Innovative Fundamental Research Group Project of Gansu Province (Grant No. 20JR5RA541).

摘要/Abstract

摘要： The transition energies of the 1s$^22$s ${^2}$S$_{1/2}$ $\to$ 1s$^22$p $^{2}$P$_{1/2,3/2}$ transitions in Li-like Th${^{87+}}$ ions were calculated by combining the multi-configuration Dirac-Hartree-Fock (MCDHF) method with the model-quantum electrodynamics (model-QED) approach. The effects of electron correlation, Breit interaction, and QED effects were analyzed in detail. The isotope shifts, including the mass shifts and field shifts, due to the 2s ${^2}$S$_{1/2}$ $\to$ 2p $^{2}$P$_{1/2,3/2}$ transitions were then calculated using two different methods, namely, the MCDHF method and the finite-field method. The results show that these two methods are in excellent agreement.

关键词: isotope shift, MCDHF method, finite-field method, QED effect

Abstract: The transition energies of the 1s$^22$s ${^2}$S$_{1/2}$ $\to$ 1s$^22$p $^{2}$P$_{1/2,3/2}$ transitions in Li-like Th${^{87+}}$ ions were calculated by combining the multi-configuration Dirac-Hartree-Fock (MCDHF) method with the model-quantum electrodynamics (model-QED) approach. The effects of electron correlation, Breit interaction, and QED effects were analyzed in detail. The isotope shifts, including the mass shifts and field shifts, due to the 2s ${^2}$S$_{1/2}$ $\to$ 2p $^{2}$P$_{1/2,3/2}$ transitions were then calculated using two different methods, namely, the MCDHF method and the finite-field method. The results show that these two methods are in excellent agreement.

Key words: isotope shift, MCDHF method, finite-field method, QED effect

中图分类号: (Electron correlation calculations for atoms, ions and molecules)

31.15.V-

31.15.am (Relativistic configuration interaction (CI) and many-body perturbation calculations) 31.30.J- (Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions) 31.30.Gs (Hyperfine interactions and isotope effects)

Huqiang Lu(路虎强), Bingbing Li(李兵兵), Mingye Yang(杨明叶), Lin Dong(董霖), Yanmin Wang(王雁敏), Maijuan Li(李麦娟), Lei Wu(吴磊), Jiguang Li(李冀光), Jun Jiang(蒋军), Chenzhong Dong(董晨钟), and Denghong Zhang(张登红). Isotope shifts due to the 1s²2s ²S_1/2 → 1s²2p ²P_1/2,3/2 transitions of Li-like Th⁸⁷⁺ ions[J]. 中国物理B, 2025, 34(7): 73203-073203.

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Isotope shifts due to the 1s²2s ²S_1/2 → 1s²2p ²P_1/2,3/2 transitions of Li-like Th⁸⁷⁺ ions

Isotope shifts due to the 1s²2s ²S_1/2 → 1s²2p ²P_1/2,3/2 transitions of Li-like Th⁸⁷⁺ ions

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