  We use the two-electron wavefunctions (geminals) and the simple screened
Coulomb potential proposed by Overhauser [Can. J. Phys. 73, 683 (1995)] to
compute the pair-distribution function for a uniform electron gas. We find
excellent agreement with Quantum Monte Carlo simulations in the short-range
region, for a wide range of electron densities. We are thus able to estimate
the value of the second-order coefficient of the small interelectronic-distance
expansion of the pair-distribution function. The results are generalized to the
partially polarized gas.
