The Efimov effect. Discrete spectrum asymptotics |
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| Authors: | A. V. Sobolev |
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| Affiliation: | (1) Département de Mathématiques et Informatique, Université Paris-Nord, 93430 Villetaneuse, France;(2) St-Petersburg Branch of the Steklov Institute (SPOMI), 191011 St-Petersburg, Russia;(3) Present address: Department of Mathematics, University of Toronto, M5S 1A1 Toronto, Canada |
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| Abstract: | We study a three-particle Schrödinger operatorH for which none of the two-particle subsystems has negative bound states and at least two of them have zero energy resonances. We prove that under this condition the numberN(z) of bound states ofH belowz<0 has the asymptotics asz -0, where the coefficient depends only on the ratio of masses of the particles. |
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