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Internal structure of a partially ionized heavy ion. Isolated ion model

Published online by Cambridge University Press:  09 March 2009

Y. Furutani ,
H. Totsuji ,
K. Mima  and
H. Takabe
Y. Furutani
Affiliation:
Department of Electrical and Electronic Engineering, Faculty of Engineering, Okayama University, 3-1-1 Tsushima-naka, Okayama 700, Japan
H. Totsuji
Affiliation:
Department of Electrical and Electronic Engineering, Faculty of Engineering, Okayama University, 3-1-1 Tsushima-naka, Okayama 700, Japan
K. Mima
Affiliation:
Department of Electrical and Electronic Engineering, Faculty of Engineering, Okayama University, 3-1-1 Tsushima-naka, Okayama 700, Japan Institute of Laser Engineering, Osaka University, 2-6 Yamada-oka, Suita 565, Japan
H. Takabe
Affiliation:
Department of Electrical and Electronic Engineering, Faculty of Engineering, Okayama University, 3-1-1 Tsushima-naka, Okayama 700, Japan Institute of Laser Engineering, Osaka University, 2-6 Yamada-oka, Suita 565, Japan
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Abstract

An effective potential and an associated electron density in a partially ionized high-Z ion are evaluated within the framework of the Thomas–Fermi–Dirac–Weizsäcker statistical model of atoms. The results are then injected as an initial input into the one-electron Schrödinger equation, a procedure based on the density functional theory. The self-consistency between the two approaches is examined. For a partially ionized ion at zero and finite temperatures, a number of bound electrons is counted by a sum over the principal quantum number, which diverges due to the contribution from shallow bound (Rydberg) levels. A truncation of this sum is devised by application of the Planck–Larkin scheme to the Fermi distribution

Type
Research Article
Information
Laser and Particle Beams , Volume 7 , Issue 3 , August 1989 , pp. 581 - 588
Copyright
Copyright © Cambridge University Press 1989

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References

Abe, R. 1959 Prog. Theor. Phys. 21, 475.CrossRefGoogle Scholar
Dharma-wardana, M. W. C. & Perrot, F. 1982 Phys. Rev. A26, 2096.CrossRefGoogle Scholar
Furutani, Y., Shigesada, M. & Totsuji, H. 1986 J. Phys. Soc. Japan 55, 2653.CrossRefGoogle Scholar
Furutani, Y. et al. 1988 J. Phys. Soc. Japan 57, No. 11.CrossRefGoogle Scholar
Hohenberg, P. & Kohn, W. 1964 Phys. Rev. B136, 864.CrossRefGoogle Scholar
Jones, W. & Young, W. H. 1971 J. Phys. C4, 1322.Google Scholar
Kohn, W. & Sham, L. J. 1965 Phys. Rev. A140, 1133.CrossRefGoogle Scholar
Larkin, A. I. 1960 Sov. Phys. JETP 11, 1363.Google Scholar
Perrot, F. 1979 Physica 98A, 555.CrossRefGoogle Scholar
Perrot, F. 1979a Phys. Rev. A20, 586.CrossRefGoogle Scholar
Perrot, F. & Dharma-wardana, M. W. C. 1984 Phys. Rev. A30, 2619.CrossRefGoogle Scholar
Singwi, K. S. et al. 1968 Phys. Rev. 176, 589.CrossRefGoogle Scholar
Takabe, H. et al. 1987 Presented at the annual meeting of the Physical Society of Japan, 28a JC2.Google Scholar
Tanaka, S., Mitake, S. & Ichimaru, S. 1985 Phys. Rev. A32, 1896.Google Scholar
Yonei, K., Ozaki, J. & Tomishima, Y. 1987 J. Phys. Soc. Japan 56, 2697.CrossRefGoogle Scholar