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The European Physical Journal A

, Volume 32, Issue 1, pp 113–120 | Cite as

Universal properties of the four-body system with large scattering length

  • H. -W. HammerEmail author
  • L. Platter
Regular Article - Interdisciplinary Topics

Abstract.

Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound-state properties of the four-boson system with large scattering length in an effective quantum mechanics approach. We compute the four-body binding energies using the Yakubovsky equations for positive and negative scattering length. Moreover, we study the correlation between three- and four-body energies and present a generalized Efimov plot for the four-body system. These results are useful for understanding the cluster structure of nuclei and for the creation of weakly bound tetramers with cold atoms close to a Feshbach resonance.

PACS.

03.65.Ge Solutions of wave equations: bound states 36.40.-c Atomic and molecular clusters 21.45.+v Few-body systems 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  1. 1.Helmholtz-Institut für Strahlen- und Kernphysik (Theorie)Universität BonnBonnGermany
  2. 2.Department of Physics and AstronomyOhio UniversityAthensUSA

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