The binding energy of /sup 3/He(/sup 4/He)/sub 2/ is recalculated with more correct h/sup 2//M values. The Smith-Thakkar, HFDHE2, and mDD-2 potentials ensure its binding, while the Beck, Lennard-Jones, and ESMMSV potentials do not.
The results of accurate variational calculations for the ground-state binding energies of several N-boson systems in two and three dimensions are reported; the systems specifically considered are small (N=2,3,4,and5) clusters of 4He atoms interacting through pairwise Lennard-Jones potentials. Evidence is found strongly suggesting each set of systems have a common functional relationship linking the binding energies and the De Boer quantum constant near threshold for self-binding. These calculations also confirm the existence of a unique threshold value of the interaction strength for all N-boson systems in 2D. In addition, the linear relation between the binding energies of helium clusters present in 3D holds ture in 2D as well.