Abstract
An approximate local-density functional, quite similar to the well-known Colle-Salvetti functional and complying with a basic requirement of the exchange-correlation hole, is derived and represented as a simple polynomial. This expression gives an essentially correct behavior for the Coulomb hole. Test calculations on some two-electron atoms lead to energy values closer than 0.05% to the experimental ones. The expression can be further improved by taking into account the effects of the density gradient.
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