Abstract
Based on the Rayleigh–Ritz variation method, the non-relativistic energies of highly excited 1s2nl (l = g, h) states of a lithium-like isoelectronic sequence have been studied. We also investigated the fine structure splitting of the 1s2nl (l = g, h) states, which includes spin–orbital effects, spin–other orbital effects, quantum electrodynamics (QED) corrections and higher order relativistic corrections. The fine structure splitting values of the 1s25g state are compared with those in the existing literature. At present, no relevant data on 1s2nl (l = g, h) (n ≥ 6) have been found. Consequently, the calculation results in this paper should provide a valuable reference. We also obtained the regularities of the fine structure splitting with the nuclear charge number Z and the main quantum number n and found a physical law that the fine structures of the 1s2nl (l = g, h) states is proportional to the fourth power of the effective nuclear charge Zeff.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant number: 21603185) and Research Fund for the Doctoral Program of Hebei Normal University of Science & Technology (Grant number: 2021YB010).The authors are grateful to K. T. Chung for providing the computational procedure.
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Liu, X., Zhang, J. Study of non-relativistic energy and fine structure splitting using a Rayleigh–Ritz method for a high-angular-momentum state. J. Korean Phys. Soc. 80, 197–202 (2022). https://doi.org/10.1007/s40042-021-00349-y
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DOI: https://doi.org/10.1007/s40042-021-00349-y