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A class of exactly solvable three-body quantum mechanical problems and the universal low energy behavior |
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| Authors: | Sergio Albeverio Raphael Høegh-Krohn Tai Tsun Wu |
| Institution: | 1. Université d'' Aix-Marseille II, Faculté des Sciences de Luminy, Marseille, France;2. Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Fed. Rep. Germany;3. Centre de Physique Théorique II, CNRS, Marseille, France;4. Gordon McKay Laboratory, Harvard University, Cambridge, MA, USA;5. Matematisk Institutt, Universitetet i Oslo, Oslo, Norway;6. Mathematisches Institut, Ruhr-Universität Bochum, Bochum, Fed. Rep. Germany |
| Abstract: | Three-body systems with two-body point interactions are studied. These systems are the universal low energy limits of three-body problems with short-range two-body forces. Hence if there are infinitely many spherically symmetric three-body bound states with energies En then limn→∞En/En+1 = e2λσ, where σ is explicitly computed. |
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