中国物理B ›› 2026, Vol. 35 ›› Issue (7): 73102-073102.doi: 10.1088/1674-1056/ae0d77

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Relativistic many-body calculations of multipole (E1, M1, E2, M2) transition properties in Al II

Yuan-Fei Wei(魏远飞)1,2,3, Zhi-Ming Tang(唐志明)4,†, Xue-Ren Huang(黄学人)2,3,5,‡, Ming-Lu Bu(布明鹭)1, Xin-Ye Xu(徐信业)4, and Yi-Yu Cai(蔡翊宇)1,6,§   

  1. 1 Macao Institute of Materials Science and Engineering (MIMSE), Sino-Luso Joint Laboratory for Optoelectronics, Macau University of Science and Technology, Taipa, Macau SAR 999078, China;
    2 Key Laboratory of Atom Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
    3 University of Chinese Academy of Sciences, Beijing 100049, China;
    4 State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China;
    5 Wuhan Institute of Quantum Technology, Wuhan 430206, China;
    6 Macau University of Science and Technology, Zhuhai MUST Science and Technology Research Institute, Zhuhai 519099, China
  • 收稿日期:2025-07-31 修回日期:2025-09-18 接受日期:2025-09-30 发布日期:2026-07-22
  • 通讯作者: Zhi-Ming Tang, Xue-Ren Huang, Yi-Yu Cai E-mail:zmtang@lps.ecnu.edu.cn;hxueren@wipm.ac.cn;yycai@must.edu.mo
  • 基金资助:
    We would like to thank Prof. M. G. Kozlov of Petersburg Nuclear Physics Institute for the helpful assistance with the use of the CI + MBPT package. We also thank Dr. J. S. Liu for the helpful discussion. This project was supported by the Science and Technology Department of Hubei Province (Grant No. 2025AFA004), the Science and Technology Development Fund (FDCT), Macao SAR (Grant Nos. 0024/2024/RIB1, 0136/2024/RIA2, and 0004/2025/RDP), Shanghai Municipal Science and Technology Major Project (Grant No. 2019SHZDZX01), the Department of Science and Technology of Guangdong Province (Grant No. 2024QN11C352), and the National Natural Science Foundation of China (Grant No. 12404421).

Relativistic many-body calculations of multipole (E1, M1, E2, M2) transition properties in Al II

Yuan-Fei Wei(魏远飞)1,2,3, Zhi-Ming Tang(唐志明)4,†, Xue-Ren Huang(黄学人)2,3,5,‡, Ming-Lu Bu(布明鹭)1, Xin-Ye Xu(徐信业)4, and Yi-Yu Cai(蔡翊宇)1,6,§   

  1. 1 Macao Institute of Materials Science and Engineering (MIMSE), Sino-Luso Joint Laboratory for Optoelectronics, Macau University of Science and Technology, Taipa, Macau SAR 999078, China;
    2 Key Laboratory of Atom Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
    3 University of Chinese Academy of Sciences, Beijing 100049, China;
    4 State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China;
    5 Wuhan Institute of Quantum Technology, Wuhan 430206, China;
    6 Macau University of Science and Technology, Zhuhai MUST Science and Technology Research Institute, Zhuhai 519099, China
  • Received:2025-07-31 Revised:2025-09-18 Accepted:2025-09-30 Published:2026-07-22
  • Contact: Zhi-Ming Tang, Xue-Ren Huang, Yi-Yu Cai E-mail:zmtang@lps.ecnu.edu.cn;hxueren@wipm.ac.cn;yycai@must.edu.mo
  • Supported by:
    We would like to thank Prof. M. G. Kozlov of Petersburg Nuclear Physics Institute for the helpful assistance with the use of the CI + MBPT package. We also thank Dr. J. S. Liu for the helpful discussion. This project was supported by the Science and Technology Department of Hubei Province (Grant No. 2025AFA004), the Science and Technology Development Fund (FDCT), Macao SAR (Grant Nos. 0024/2024/RIB1, 0136/2024/RIA2, and 0004/2025/RDP), Shanghai Municipal Science and Technology Major Project (Grant No. 2019SHZDZX01), the Department of Science and Technology of Guangdong Province (Grant No. 2024QN11C352), and the National Natural Science Foundation of China (Grant No. 12404421).

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摘要： We present systematic relativistic many-body calculations of multipole transition properties for singly charged aluminum ion (Al II) using a method that combines configuration interaction and many-body perturbation theory ($\rm CI+MBPT$). Our calculations cover the 103 lowest energy levels in Al II. For five key low-lying states (3s$^{2}$ $^{1}$S$_{0}$, 3s3p $^{3}$P$_{0}$, 3s3p $^{3}$P$_{1}$, 3s3p $^{3}$P$_{2}$, and 3s3p $^{1}$P$_{1}$), we tabulate the transition wavelengths, reduced matrix elements, transition probabilities, and oscillator strengths for about 400 electric dipole (E1), magnetic dipole (M1), electric quadrupole (E2), and magnetic quadrupole (M2) transitions arising from these levels. Our calculated values agree well with available experimental data and other high-precision theoretical calculations, with typical deviations on the order of 1%. Notably, we report over 80% of these transition lines as previously unreported, significantly expanding the existing spectroscopic database for Al II. These results can serve as a valuable reference resource for ongoing precision quantum metrology as well as astrophysical spectroscopy involving the Al II ion.

关键词: Al II, multipole transition properties, CI+MBPT, relativistic many-body calculations, atomic structure calculation

Abstract: We present systematic relativistic many-body calculations of multipole transition properties for singly charged aluminum ion (Al II) using a method that combines configuration interaction and many-body perturbation theory ($\rm CI+MBPT$). Our calculations cover the 103 lowest energy levels in Al II. For five key low-lying states (3s$^{2}$ $^{1}$S$_{0}$, 3s3p $^{3}$P$_{0}$, 3s3p $^{3}$P$_{1}$, 3s3p $^{3}$P$_{2}$, and 3s3p $^{1}$P$_{1}$), we tabulate the transition wavelengths, reduced matrix elements, transition probabilities, and oscillator strengths for about 400 electric dipole (E1), magnetic dipole (M1), electric quadrupole (E2), and magnetic quadrupole (M2) transitions arising from these levels. Our calculated values agree well with available experimental data and other high-precision theoretical calculations, with typical deviations on the order of 1%. Notably, we report over 80% of these transition lines as previously unreported, significantly expanding the existing spectroscopic database for Al II. These results can serve as a valuable reference resource for ongoing precision quantum metrology as well as astrophysical spectroscopy involving the Al II ion.

Key words: Al II, multipole transition properties, CI+MBPT, relativistic many-body calculations, atomic structure calculation

中图分类号:  (Excitation energies and lifetimes; oscillator strengths)

  • 31.15.ag
31.15.aj (Relativistic corrections, spin-orbit effects, fine structure; hyperfine structure) 31.15.am (Relativistic configuration interaction (CI) and many-body perturbation calculations)