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Canadian Science Publishing, Canadian Journal of Physics, 12(84), p. 1097-1106

DOI: 10.1139/p07-002

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Many-body calculation of helium 1D–3D term intervals for 1snd (n = 12 20) high Rydberg states

Journal article published in 2006 by Liming He, Wei Cao ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

With many-body perturbation theory, 1D–3D term intervals of helium 1snd (n = 12 ∼ 20) configurations are calculated. Based on two different models, Rayleigh-Schrodinger perturbation expansion terms consisting of bound states only, and those of continua are evaluated, respectively. As for bound states, zeroth-order wave functions are strictly generated from self-iteration solutions of the Hartree equation and residues of infinite expansion series are dealt with by the integral processing method, while a simplified hydrogen potential is adopted to get the continua. Using Rayleigh–Schrodinger expansions, we evaluate exchange energy up to third-order terms. It is found that level splittings are mainly attributed to summations over bound states. The fine-structure level splittings yielded here are found to agree quite well with experimental results.PACS Nos.: 31.15.Md, 32.10Fn, 02.60Ed