Abstract
The system of hard core particles interacting via slowly decreasing repulsions of a finite range is investitated both theoretically and experimentally. The exponential (EXP) approximation of simple fluids is extended to pure repulsive potentials and is found as an accurate and rapid method to obtaining the radial distribution function. While the results based on the blip-function approximation are accurate only for a short interaction range and/or very low densities, agreement between the EXP results and Monte Carlo simulation data is excellent for all the interaction ranges and densities considered.
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