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.

LaTeX, 6 pages; minor corrections, remarks and references added

References in corpus (1)

• Many-Body Physics with Ultracold Gases

Cited by in corpus (1)

• Derivation of the time dependent Gross-Pitaevskii equation for a class of non purely positive potentials