Calculation of correlation functions of hard spheres in the generalized mean spherical approximation

Wiener-Hopf factorization technique as suggested by Baxter has been used to solve the Ornstein-Zernike equation for a system of hard spheres in the framework of a generalized mean spherical model. The method reported here yields unambiguous and accurate values of the radial distribution function g (r), direct correlation function C (r), and the structure function S (k). These thermodynamic quantities have been calculated from low to fairly high densities and, with a normalized g (R), they have been compared with the molecular-dynamics values of Alder and Hecht.