Abstract
A factorization Ansatz for the three-particle direct correlation function ${c}^{(3)}$ is combined with the relation between ${c}^{(3)}$ and the pair function ${c}^{(2)}$ to derive a simple and tractable approximation for ${c}^{(3)}$ in dense, classical fluids. The predictions compare favorably with exact molecular-dynamics results for the soft-sphere fluid near freezing.
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