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Fine and hyperfine structures of pionic helium atoms |
| Zhi-Da Bai(白志达)1,2, Zhen-Xiang Zhong(钟振祥)1,†, Zong-Chao Yan(严宗朝)3,1, and Ting-Yun Shi(史庭云)1 |
1 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 Department of Physics, University of New Brunswick, Fredericton, New Brunswick, E3B 5A3, Canada |
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Abstract The fine and hyperfine structures of pionic helium metastable states is calculated within the formalism of the Breit-Pauli Hamiltonian by using the variationally generated wave functions in Hylleraas coordinates. Our results not only verify the existing values of Hori ${\it et al.}$ [${Phys. Rev. A} {\bf 89}$, 042515 (2014)] for the fine structure of $\pi^4$He$^+$, but also determine the hyperfine structure of $\pi^3$He$^+$.
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Received: 31 January 2022
Revised: 14 April 2022
Accepted manuscript online: 07 May 2022
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PACS:
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36.10.-k
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(Exotic atoms and molecules (containing mesons, antiprotons and other unusual particles))
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31.15.aj
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(Relativistic corrections, spin-orbit effects, fine structure; hyperfine structure)
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31.15.ac
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(High-precision calculations for few-electron (or few-body) atomic systems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11974382 and 11474316). ZCY acknowledges the support from NSERC and SHARCnet of Canada. |
Corresponding Authors:
Zhen-Xiang Zhong
E-mail: zxzhong@wipm.ac.cn
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Cite this article:
Zhi-Da Bai(白志达), Zhen-Xiang Zhong(钟振祥), Zong-Chao Yan(严宗朝), and Ting-Yun Shi(史庭云) Fine and hyperfine structures of pionic helium atoms 2023 Chin. Phys. B 32 023601
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[1] Hori M, Sótér A and Korobov V I 2014 Phys. Rev. A 89 042515
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[3] Hori M, Aghai-Khozani H, Sótér A, Dax A and Barna D 2021 Few-Body Syst. 62 1
[4] Hori M, Aghai-Khozani H, Sótér A, Dax A and Barna D 2021 SciPost Phys. Proc. 5 26
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[23] Pask T, Barna D, Dax A, Hayano R S, Hori M, Horváth D, Juhász B, Malbrunot C, Marton J, Ono N, Suzuki K, Zmeskal J and Widmann E 2008 J. Phys. B 41 081008
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[26] Bai Z D, Zhong Z X, Yan Z C and Shi T Y 2021 Chin. Phys. B 30 023101 |
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