Near-threshold behavior of the ground-state binding energies of the few-atom systems of /sup 4/He and other bosons in two and three dimensions

Journal Article · Tue Jul 01 04:00:00 EDT 1980 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.22.28· OSTI ID:5336196

Lim, T K; Nakaichi, S; Akaishi, Y; Tanaka, H

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, and 5) clusters of /sup 4/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 true in 2D as well.

• Research Organization: Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104
• OSTI ID: 5336196
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 22:1; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
BINDING ENERGY
CRYOGENIC FLUIDS
ELEMENTS
ENERGY
ENERGY LEVELS
FLUIDS
GROUND STATES
HELIUM
MOLECULAR STRUCTURE
NONMETALS
RARE GASES
VARIATIONAL METHODS