中国物理B ›› 2024, Vol. 33 ›› Issue (10): 103102-103102.doi: 10.1088/1674-1056/ad7c30

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Fully relativistic energies, transition properties, and lifetimes of lithium-like germanium

Shuang Li(李双)1,2,3, Jing Zhou(周璟)1, Liu-Hong Zhu(朱柳红)1, Xiu-Fei Mei(梅秀菲)1, and Jun Yan(颜君)2,†   

  1. 1 School of Electrical and Optoelectronic Engineering, West Anhui University, Luan 237012, China;
    2 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    3 Shanghai EBIT Laboratory, Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China
  • 收稿日期:2024-08-08 修回日期:2024-09-12 接受日期:2024-09-18 发布日期:2024-09-30
  • 通讯作者: Jun Yan E-mail:yan_jun@iapcm.ac.cn
  • 基金资助:
    Project supported by the Research Foundation for Higher Level Talents of West Anhui University (Grant No. WGKQ2021005).

Fully relativistic energies, transition properties, and lifetimes of lithium-like germanium

Shuang Li(李双)1,2,3, Jing Zhou(周璟)1, Liu-Hong Zhu(朱柳红)1, Xiu-Fei Mei(梅秀菲)1, and Jun Yan(颜君)2,†   

  1. 1 School of Electrical and Optoelectronic Engineering, West Anhui University, Luan 237012, China;
    2 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    3 Shanghai EBIT Laboratory, Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China
  • Received:2024-08-08 Revised:2024-09-12 Accepted:2024-09-18 Published:2024-09-30
  • Contact: Jun Yan E-mail:yan_jun@iapcm.ac.cn
  • Supported by:
    Project supported by the Research Foundation for Higher Level Talents of West Anhui University (Grant No. WGKQ2021005).

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摘要： Employing two fully relativistic methods, the multi-reference configuration Dirac-Hartree-Fock (MCDHF) method and the relativistic many-body perturbation theory (RMBPT) method, we report energies and lifetime values for the lowest 35 energy levels of the (1s$^2)nl$ configurations (where the principal quantum number $n = 2$-6 and the angular quantum number $l = 0$,..., $n-1$) of lithium-like germanium (Ge XXX), as well as complete data on the transition wavelengths, radiative rates, absorption oscillator strengths, and line strengths between the levels. Both the allowed (E1) and forbidden (magnetic dipole M1, magnetic quadrupole M2, and electric quadrupole E2) ones are reported. The results from the two methods are consistent with each other and align well with previous accurate experimental and theoretical findings. We assess the overall accuracies of present RMBPT results to be likely the most precise ones to date. The present fully relativistic results should be helpful for soft x-ray laser research, spectral line identification, plasma modeling and diagnosing. The datasets presented in this paper are openly available at https://doi.org/10.57760/sciencedb.j00113.00135.

关键词: multi-reference, Dirac-Hartree-Fock, relativistic many-body perturbation, radiative rate, lifetime

Abstract: Employing two fully relativistic methods, the multi-reference configuration Dirac-Hartree-Fock (MCDHF) method and the relativistic many-body perturbation theory (RMBPT) method, we report energies and lifetime values for the lowest 35 energy levels of the (1s$^2)nl$ configurations (where the principal quantum number $n = 2$-6 and the angular quantum number $l = 0$,..., $n-1$) of lithium-like germanium (Ge XXX), as well as complete data on the transition wavelengths, radiative rates, absorption oscillator strengths, and line strengths between the levels. Both the allowed (E1) and forbidden (magnetic dipole M1, magnetic quadrupole M2, and electric quadrupole E2) ones are reported. The results from the two methods are consistent with each other and align well with previous accurate experimental and theoretical findings. We assess the overall accuracies of present RMBPT results to be likely the most precise ones to date. The present fully relativistic results should be helpful for soft x-ray laser research, spectral line identification, plasma modeling and diagnosing. The datasets presented in this paper are openly available at https://doi.org/10.57760/sciencedb.j00113.00135.

Key words: multi-reference, Dirac-Hartree-Fock, relativistic many-body perturbation, radiative rate, lifetime

中图分类号:  (Electron correlation calculations for atoms and ions: excited states)

  • 31.15.vj
31.15.am (Relativistic configuration interaction (CI) and many-body perturbation calculations) 31.15.xp (Perturbation theory) 32.70.Cs (Oscillator strengths, lifetimes, transition moments)