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The contact values $g(\sigma,\sigma')$ of the radial distribution functionsof a fluid of (additive) hard spheres with a given size distribution$f(\sigma)$ are considered. A ``universality'' assumption is introduced,according to which, at a given packing fraction $\eta$,$g(\sigma,\sigma')=G(z(\sigma,\sigma'))$, where $G$ is a common functionindependent of the number of components (either finite or infinite) and$z(\sigma,\sigma')=[2 \sigma \sigma'/(\sigma+\sigma')]\mu_2/\mu_3$ is adimensionless parameter, $\mu_n$ being the $n$-th moment of the diameterdistribution. A cubic form proposal for the $z$-dependence of $G$ is made andknown exact consistency conditions for the point particle and equal sizelimits, as well as between two different routes to compute the pressure of thesystem in the presence of a hard wall, are used to express $G(z)$ in terms ofthe radial distribution at contact of the one-component system. Forpolydisperse systems we compare the contact values of the wall-particlecorrelation function and the compressibility factor with those obtained fromrecent Monte Carlo simulations.Comment: 9 pages, 7 figure

Contact values of the particle-particle and wall-particle correlation functions in a hard-sphere polydisperse fluid