Yp. Tang et Bcy. Lu, A NEW SOLUTION OF THE ORNSTEIN-ZERNIKE EQUATION FROM THE PERTURBATION-THEORY, The Journal of chemical physics, 99(12), 1993, pp. 9828-9835
A general solution of the Ornstein-Zernike (OZ) equation was obtained
by combining the perturbation theory with the application of the Hilbe
rt transform. The development was based on the Percus-Yevick approxima
tion or the mean spherical approximation for potentials consisting of
a hard core and an arbitrary tail function. All terms of the solution
are analytical and involve only the potential function and the hard sp
here quantities.