Hard-Sphere Boson Gas with Weak Attraction or Repulsion

Abstract
The coordinate-space variational treatment for the hard-sphere boson gas developed by Aviles and Iwamoto has been used to calculate the correction to the ground-state energy produced by a weak potential added outside the hard sphere. The first three terms in the low-density expansion are compared with the exact result of Wu. The first two terms agree well, while the third is poor.