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The pair correlation function (g) or the relative pair distribution function, of a high density imperfect electron gas in the ground state is computed numerically versus the distance between two electrons. The cases are considered in which the electrons have either antiparallel or parallel spins, for three values of density for each case. In the latter case g is computed, using an approximate expression, only over distances small compared with the reciprocal of the Fermi momentum divided by n. In both cases g increases monotonously with distance for a given density and decreases with density for a fixed distance, because of the increasing effect of Coulomb repulsion with decreasing density. (auth)
Seizo Ueda (Sat,) studied this question.