We present a new integral equation for the radial distribution functio
n of classical fluids. It employs the bridge function for a short-rang
e repulsive reference system which was used earlier in our dense fluid
perturbation theory. The bridge function is evaluated using Ballone e
t al.'s closure relation. Applications of the integral equation to the
Lennard-Jones and inverse nth-power (n=12, 9, 6, and 4) repulsive sys
tems show that it can predict thermodynamic and structural properties
in close agreement with results from computer simulations and the refe
rence-hypernetted-chain equation. We also discuss thermodynamic consis
tency tests on the new equation and comparisons with the integral equa
tions of Rogers and Young and of Zerah and Hansen. The present equatio
n has no parameter to adjust. This unique feature offers a significant
advantage as it eliminates a time-consuming search to optimize such p
arameters appearing in other theories. It permits practical applicatio
ns needing complex intermolecular potentials and for multicomponent sy
stems. (C) 1995 American Institute of Physics.