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Physical Review A

Near-threshold behavior of the ground-state binding energies of the few-atom systems of He4 and other bosons in two and three dimensions

T. K. Lim, S. Nakaichi, Y. Akaishi, Hajime Tanaka

Published Jul 1, 1980• 17 citations
Publisher

Abstract

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 ($N=2, 3, 4, \mathrm{and} 5$) clusters of $^{4}\mathrm{He}$ 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.

DOI
10.1103/physreva.22.28

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