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Analytical Calculation of Cl\(^{15+}\) Ion Immersed in Dense Plasmas

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Abstract

A method of analytically calculating energy levels of He-like ions in an environment of dense plasma is given by using the angular momentum coupling theory and irreducible tensor theory under Hartree–Fock approximation. In order to obtain higher calculation precision, relativistic correction terms of the non-relativistic energy including corrections caused by relativistic mass, one- and two-body Darwin effect, spin–spin contact interaction and orbit–orbit interaction, are calculated. The binding energies of the ground state \(1s^2\) \(^1S\) and excited state 1snp \(^1P\) (n = 1 − 4) of He-like Cl ions and the transition energy between two energy levels in an environment of dense plasma are calculated. The scaling relationship between the energy shift of plasma and its temperature and density is given. According to our study, the energy shift of plasma conforms very well with the recent high-precision experimental result (Phys Rev A 100:012511, 2019).

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11804112 and 11504421), the Natural Science Foundation of Anhui Province of China (Grant No. 1808085QA22), the Natural Science Foundation of the Higher Education Institutions of Anhui Province of China (Grant Nos. KJ2019A0610, KJHS2019B12) and the Open Research Project of Anhui Simulation Design and Modern Manufacture Engineering Technology Research Center (HuangShan University)(Grant NO. SGCZXYB1807).

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Authors and Affiliations

  1. School of Information Engineering, Huangshan University, Huangshan, 245041, Anhui, China

    K. Ma

  2. College of Mechanical and Electrical Engineering, Huangshan University, Huangshan, 245041, Anhui, China

    Y. Chu

  3. Department of Applied Physics, School of Science, Hunan University of Technology, Zhuzhou, 412007, Hunan, China

    Z. B. Chen

  4. School of Physical Science, University of Science and Technology of China, Hefei, 230026, Anhui, China

    K. Ma

  5. Huangshan Jima Technology Corporation Limited, Huangshan, 245200, Anhui, China

    K. Ma

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  1. K. Ma
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Correspondence to K. Ma.

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Ma, K., Chu, Y. & Chen, Z.B. Analytical Calculation of Cl\(^{15+}\) Ion Immersed in Dense Plasmas. Few-Body Syst 61, 42 (2020). https://doi.org/10.1007/s00601-020-01577-x

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