Abstract
We use the two-electron wave functions (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, finding the exact for this model and extending the results from to We find that the short-range part of this is in excellent agreement with quantum Monte Carlo simulations 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 coefficients of the small- expansion of the spin-resolved have density or dependencies which we parametrize in a way that makes it easy to find their coupling-constant averages. Their spin-polarization or dependencies are estimated from a proposed spin-scaling relation.
- Received 30 April 2001
DOI:https://doi.org/10.1103/PhysRevB.64.155102
©2001 American Physical Society