Using the Binary Collision Expansion Method(3), we have derived the expression of the pair distribution function of a system of pose particles interacting via a hard sphere potential of radius a, up to the first order ir a/λ- To do so we have used a general formals relating the pair distribution function in the grand canonical ensemble to certain generalized cluster integrals. The evaluation of these cluster integrals up to the first order in a/λ is achieved by using the diagrammatical analysis of the cluster functions of the binary collision expansion method, which is equivalent to this order with the method of torons(1).
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