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We apply a recently developed technique, which is based on a cluster expansion of the many-body Feynman path-integral, to the case of a dense system of distinguishable particles interacting with a hard-sphere potential. We find that our quantum hypernetted-chain approximation yields accurate results for the pair distribution function as compared to path-integral Monte Carlo results even in the high density regime.

Cluster expansion of the many-body Feynman path-integral for hard spheres