Threshold behavior of bosonic two-dimensional few-body systems

Details Threshold behavior of bosonic two-dimensional few-body systems Threshold behavior of bosonic two-dimensional few-body systems

2005-07-29

arxiv.org/abs/cond-mat/0507729v1

Phys.Rev.B72:094510,2005

Physics

Condensed Matter

Other Condensed Matter

6 pages, 3 figures

Scientific paper

10.1103/PhysRevB.72.094510

Bosonic two-dimensional self-bound clusters consisting of $N$ atoms interacting through additive van der Waals potentials become unbound at a critical mass m*(N); m*(N) has been predicted to be independent of the size of the system. Furthermore, it has been predicted that the ground state energy E(N) of the N-atom system varies exponentially as the atomic mass approaches m*. This paper reports accurate numerical many-body calculations that allow these predictions to be tested. We confirm the existence of a universal critical mass m*, and show that the near-threshold behavior can only be described properly if a previously neglected term is included. We comment on the universality of the energy ratio E(N+1)/E(N) near threshold.

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