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Extended Hylleraas three-electron integral

K. Pachucki·M. Puchalski
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Abstract

A closed form expression for the three-electron Hylleraas integral involving the inverse quadratic power of one inter-particle 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 lithium-like ions.

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K. Pachucki, M. Puchalski. 2005-01-19. Extended Hylleraas three-electron integral. https://doi.org/10.1103/physreva.71.032514

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