Universality of Brunnian ($N$-body Borromean) four and five-body systems

Details Universality of Brunnian ($N$-body Borromean) four and five-body systems Universality of Brunnian ($N$-body Borromean) four and five-body systems

2009-11-09

arxiv.org/abs/0911.1722v3

Physical Review A 81, 063607 (2010)

Physics

Condensed Matter

Quantum Gases

Scientific paper

10.1103/PhysRevA.81.063607

We compute binding energies and root mean square radii for weakly bound systems of $N=4$ and $5$ identical bosons. Ground and first excited states of an $N$-body system appear below the threshold for binding the system with $N-1$ particles. Their root mean square radii approach constants in the limit of weak binding. Their probability distributions are on average located in non-classical regions of space which result in universal structures. Radii decrease with increasing particle number. The ground states for more than five particles are probably non-universal whereas excited states may be universal.

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