The solution of Ornstein-Zernike equation for hard-sphere-like mixtures

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Abstract
Analytic techniques of Baxter are used to solve the Ornstein-Zernike equation for the unusual closure relations c αβ(r) = 0 (r > R αβ) and h αβ(r) = -K αβ (r < R αβ). It is found taht the integral ∫ dr c αβ(r) is a simple function of the constants K αβ. This relationship is used in certain self-consistency equations arising in the solution of the mean spherical model for dipolar mixtures.