Degenerate Bose System. III. Dilute Gas of Hard Spheres

Abstract

The general formalism developed in the preceding two papers of this series is applied to the dilute gas of Bose hard spheres. The well-known results of Lee, Huang, and Yang for the ground state of this model gas are duplicated. The possibility of including a weak attraction in addition to the repulsive cores is considered, and it is shown that the simple scattering length approximation is valid for positive scattering lengths.