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Many-body systems and the Efimov effect

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Abstract

We employ a Birman-Schwinger type analysis to derive estimates on the number of bound-states of certainN-body systems with threshold-energy ∑=inf δess(H) supposed to be zero. For many-body systems without any substructure we show that eigenvalues of the Schrödinger operatorH absorbed at Σ=0 are in the point-spectrum ofH. Furthermore we characterize a multiparticle equivalent of the Efimov effect.

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Karner, G. Many-body systems and the Efimov effect. Few-Body Systems 3, 7–25 (1987). https://doi.org/10.1007/BF01080941

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  • DOI: https://doi.org/10.1007/BF01080941

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