The spin-resolved pair-functions g↑↓(r) and g ↑↑(r) of an interacting unpolarized electron gas are calculated. The calculations are based on geminal representations of two-electron states and physically motivated model potentials, V ↑↓(r) and V↑↑(r), in the scattering Schrödinger equations for relative movements. The proper normalization conditions for the pair functions, as natural constraints, are used to obtain consistent effective potentials. Good agreement with data of quantum Monte Carlo treatment on the pair-distribution functions is established. Possible applications of the potentials in other two- and one-particle characteristics are briefly discussed.

The work of one of the authors (I.N.) has been supported by the OTKA (Grant Nos. T034363 and T046868). The authors acknowledge financial support by the Basque Departamento de Educación, Universidades e Investigación, the University of the Basque Country UPV/EHU (Grant No. 9/UPV 00206.215-13639/2001), and the Spanish Ministerio de Ciencia y Tecnología (Grant Nos. MAT2001-0946 and BFM 2001-0076).

Peer Reviewed