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Phys. Rev. A 71, 032514 (2005) [10 pages]

Extended Hylleraas three-electron integral

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Krzysztof Pachucki * and Mariusz Puchalski †
Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland

Received 9 December 2004; published 30 March 2005

A closed-form expression for the three-electron Hylleraas integral involving the inverse quadratic power of one interparticle coordinate is obtained, and recursion relations are derived for positive powers of other coordinates. This result is suited for high-precision calculations of relativistic effects in lithium and light lithiumlike ions.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.71.032514
DOI: 10.1103/PhysRevA.71.032514
PACS: 31.15.Pf, 31.25.−v, 02.70.−c

* Electronic address: krp@fuw.edu.pl
† Electronic address: mpuchals@fuw.edu.pl

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