中国物理B ›› 2023, Vol. 32 ›› Issue (3): 33102-033102.doi: 10.1088/1674-1056/acad6f

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Transition frequencies between 2S and 2P states of lithium-like ions

Liming Wang(王黎明)1,†, Tongtong Liu(刘仝彤)1, Weiqing Yang(杨为青)1, and Zong-Chao Yan2   

  1. 1 School of Physics, Henan Normal University, Xinxiang 453007, China;
    2 Department of Physics, University of New Brunswick, Fredericton, New Brunswick E3 B 5A3, Canada
  • 收稿日期:2022-11-13 修回日期:2022-12-07 接受日期:2022-12-21 出版日期:2023-02-14 发布日期:2023-02-14
  • 通讯作者: Liming Wang E-mail:wlm@whu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11774080). ZCY was supported by NSERC of Canada. The computing facility at SHARCnet of Canada is gratefully acknowledged. We thank Yongbo Tang for useful discussions.

Transition frequencies between 2S and 2P states of lithium-like ions

Liming Wang(王黎明)1,†, Tongtong Liu(刘仝彤)1, Weiqing Yang(杨为青)1, and Zong-Chao Yan2   

  1. 1 School of Physics, Henan Normal University, Xinxiang 453007, China;
    2 Department of Physics, University of New Brunswick, Fredericton, New Brunswick E3 B 5A3, Canada
  • Received:2022-11-13 Revised:2022-12-07 Accepted:2022-12-21 Online:2023-02-14 Published:2023-02-14
  • Contact: Liming Wang E-mail:wlm@whu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11774080). ZCY was supported by NSERC of Canada. The computing facility at SHARCnet of Canada is gratefully acknowledged. We thank Yongbo Tang for useful discussions.

摘要: The Schrödinger equation for the $2$S and $2$P states of the lithium-like ions $Z=5$-7, 9-10 is solved by using the Rayleigh-Ritz variational method in Hylleraas coordinates. The leading-order relativistic and QED corrections are calculated perturbatively and higher-order corrections are estimated. The transition frequencies between the $2{\rm S}_{1/2}$ and $2{\rm P}_J$ ($J=1/2, 3/2$) states are determined and compared with experimental and other theoretical results. Specifically, isotope shifts are also calculated for B$^{2+}$.

关键词: Li-like ions, transition frequency, relativistic corrections, QED corrections

Abstract: The Schrödinger equation for the $2$S and $2$P states of the lithium-like ions $Z=5$-7, 9-10 is solved by using the Rayleigh-Ritz variational method in Hylleraas coordinates. The leading-order relativistic and QED corrections are calculated perturbatively and higher-order corrections are estimated. The transition frequencies between the $2{\rm S}_{1/2}$ and $2{\rm P}_J$ ($J=1/2, 3/2$) states are determined and compared with experimental and other theoretical results. Specifically, isotope shifts are also calculated for B$^{2+}$.

Key words: Li-like ions, transition frequency, relativistic corrections, QED corrections

中图分类号:  (Relativistic corrections to atomic structure and properties)

  • 31.30.jc
31.30.jf (QED calculations of level energies, transition frequencies, fine structure intervals (radiative corrections, self-energy, vacuum polarization, etc.)) 31.15.xt (Variational techniques)