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Chin. Phys. B, 2023, Vol. 32(3): 033102    DOI: 10.1088/1674-1056/acad6f

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 School of Physics, Henan Normal University, Xinxiang 453007, China;
2 Department of Physics, University of New Brunswick, Fredericton, New Brunswick E3 B 5A3, Canada
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$^{2+}$.
Keywords:  Li-like ions      transition frequency      relativistic corrections      QED corrections  
Received:  13 November 2022      Revised:  07 December 2022      Accepted manuscript online:  21 December 2022
PACS:  31.30.jc (Relativistic corrections to atomic structure and properties)  
  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)  
Fund: 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.
Corresponding Authors:  Liming Wang     E-mail:

Cite this article: 

Liming Wang(王黎明), Tongtong Liu(刘仝彤), Weiqing Yang(杨为青), and Zong-Chao Yan Transition frequencies between 2S and 2P states of lithium-like ions 2023 Chin. Phys. B 32 033102

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