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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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