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

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

2012-04-02

arxiv.org/abs/1204.0435v2

Physics

Mathematical Physics

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

Scientific paper

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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