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Phys. Rev. A 71, 012504 (2005) [9 pages]

Hyperspherical analysis of radial correlations in four-electron atoms

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Toru Morishita1 and C. D. Lin2
1Department of Applied Physics and Chemistry, University of Electro-Communications, 1-5-1 Chofu-ga-oka, Chofu-shi, Tokyo 182-8585, Japan
2Department of Physics, Kansas State University, Manhattan, Kansas 66506, USA and Physics Division, National Center for Theoretical Sciences, P. O. Box 2-131, Hsinchu, 30013, Taiwan

Received 8 April 2004; published 20 January 2005

Hyperspherical coordinates are used to study electron correlations in the radial motion of a four-electron atom within the model of s4 configurations. We identify groups of hyperspherical adiabatic potential curves that support singly, doubly, triply, and quadruply excited states. By examining the nodal structures of the channel functions, we show that it is possible to relate the number of nodal surfaces in the hyperangles and the principal quantum numbers used in the independent particle picture.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.71.012504
DOI: 10.1103/PhysRevA.71.012504
PACS: 31.15.Ja, 31.10.+z, 31.25.−v, 31.30.−i

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