Absence of bound states implies non-negativity of the scattering length

Abstract

We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential.

arXiv commentLaTeX, 6 pages; minor corrections, remarks and references added

References in corpus (3)

• Many-Body Physics with Ultracold Gases
• Theory of Bose-Einstein condensation in trapped gases
• The Ground State Energy of a Dilute Two-dimensional Bose Gas

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