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Many-body systems and the Efimov effect
Authors:G. Karner
Affiliation:(1) Fakultät für Physik, Universität Bielefeld, Postfach 8640, D-4800 Bielefeld 1, Federal Republic of Germany
Abstract:We employ a Birman-Schwinger type analysis to derive estimates on the number of bound-states of certainN-body systems with threshold-energy sum=inf deltaess(H) supposed to be zero. For many-body systems without any substructure we show that eigenvalues of the Schrödinger operatorH absorbed at Sgr=0 are in the point-spectrum ofH. Furthermore we characterize a multiparticle equivalent of the Efimov effect.
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