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

. Journal of Spectral Theory, (Apr 26, 2012)
DOI: 10.4171/jst/31

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.

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