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.
%0 Journal Article
%1 Seiringer2012Absence
%A Seiringer, Robert
%D 2012
%J Journal of Spectral Theory
%K resonance
%P 321--328
%R 10.4171/jst/31
%T Absence of bound states implies non-negativity of the scattering length
%U http://dx.doi.org/10.4171/jst/31
%X 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.
@article{Seiringer2012Absence,
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.}},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Seiringer, Robert},
biburl = {https://www.bibsonomy.org/bibtex/2ee69622a5efd8deeee9c7e7930fe8004/cmcneile},
citeulike-article-id = {13514453},
citeulike-linkout-0 = {http://arxiv.org/abs/1204.0435},
citeulike-linkout-1 = {http://arxiv.org/pdf/1204.0435},
citeulike-linkout-2 = {http://dx.doi.org/10.4171/jst/31},
day = 26,
doi = {10.4171/jst/31},
eprint = {1204.0435},
interhash = {516c41c777bf03859c31f292e3f740a7},
intrahash = {ee69622a5efd8deeee9c7e7930fe8004},
issn = {1664-039X},
journal = {Journal of Spectral Theory},
keywords = {resonance},
month = apr,
pages = {321--328},
posted-at = {2015-02-11 16:03:11},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{Absence of bound states implies non-negativity of the scattering length}},
url = {http://dx.doi.org/10.4171/jst/31},
year = 2012
}