Abstract
A closed expression similar to the Ursell-Mayer expansion is obtained for the static multiple density correlation function In=〈ρk1⋯ρkn〉 of a many-particle system. It is shown that In breaks into products of lower ones, if there exist partial momentum conservations among the k's. Using the convolution approximation for the n-particle correlation function, we evaluate In in a closed form. The result is shown to be accurate in the small k region.
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