Quantum-mechanical radial distribution function for a hard-sphere gas at low density and high temperature

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Abstract
A high-temperature expansion is obtained for the density-independent part of the radial distribution function (pair-correlation function) for a quantum-mechanical gas of hard spheres. Explicit expressions are given for the first five terms in this series. Comparison with the numerical values obtained by Larsen shows that our expansion is accurate for all values of the radial distance at moderately high temperatures.