Analytical Calculation of Cl $$^{15+}$$ 15 + Ion Immersed in Dense Plasmas
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K. Ma
· Y. Chu · Z. B. Chen
Analytical Calculation of Cl15+ Ion Immersed in Dense Plasmas
Received: 19 June 2020 / Accepted: 16 October 2020 © Springer-Verlag GmbH Austria, part of Springer Nature 2020
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 nonrelativistic 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 1 S and excited state 1snp 1 P (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).
1 Introduction Plasma widely exist in astrophysics, inertial fusions and laser produced plasma. In a plasma environment, an energy shift will occur in the atomic transition line due to a change of the potential energy of the atomic nucleus perceived by an electron in a bound state [1]. The energy shift of the transition line is closely related to the temperature, density and charge state distribution of the plasma environment. Recently, high-precision experimental measurements have made it possible for us to identify different plasma models according to the plasma energy shift [2–10]. Spectral line broadening, which is closely related to a plasma environment, is also used as a powerful diagnosis tool for plasma density in laboratories [11–16]. A hot dense plasma is called Electronic supplementary material The online version of this article (https://doi.org/10.1007/s00601-020-01577-x) contains supplementary material, which is available to authorized users. K. Ma (B) School of Information Engineering, Huangshan University, Huangshan 245041, Anhui, China Y. Chu College of Mechanical and Electrical Engineering, Huangshan University, Huangshan 245041, Anhui, China B. Chen Department of Applied Physics, School of Science, Hunan University of Technology, Zhuzhou 412007, Hunan, China
K. Ma School of Physical Science, University of Science and Technology of China, Hefei 230026, Anhui, China K. Ma Huangshan Jima Technology Corporation Limited, Huangshan 245200, Anhui, China
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strongly coupled when the electrostatic energy between neighboring particles in the plasma on average exceeds their thermal energy. In recent years, the hot dense plasma effect has caused widespread attentions because of the radiative properties of accretion disks surrounding black holes as well as for the radiation transport and opacity of stellar int
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