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The contact values $g_{ij}(\sigma_{ij})$ of the radial distribution functionsof a $d$-dimensional mixture of (additive) hard spheres are considered. A`universality' assumption is put forward, according to which$g_{ij}(\sigma_{ij})=G(\eta, z_{ij})$, where $G$ is a common function for allthe mixtures of the same dimensionality, regardless of the number ofcomponents, $\eta$ is the packing fraction of the mixture, and $z_{ij}$ is adimensionless parameter that depends on the size distribution and the diametersof spheres $i$ and $j$. For $d=3$, this universality assumption holds for thecontact values of the Percus--Yevick approximation, the Scaled Particle Theory,and, consequently, the Boublik--Grundke--Henderson--Lee--Levesqueapproximation. Known exact consistency conditions are used to express$G(\eta,0)$, $G(\eta,1)$, and $G(\eta,2)$ in terms of the radial distributionat contact of the one-component system. Two specific proposals consistent withthe above conditions (a quadratic form and a rational form) are made for the$z$-dependence of $G(\eta,z)$. For one-dimensional systems, the proposals forthe contact values reduce to the exact result. Good agreement between thepredictions of the proposals and available numerical results is found for$d=2$, 3, 4, and 5.Comment: 10 pages, 11 figures; Figure 1 changed; Figure 5 is new; New  references added; accepted for publication in J. Chem. Phy

Contact values of the radial distribution functions of additive hard-sphere mixtures in d dimensions: A new proposal