https://doi.org/10.1140/epja/i2006-10301-8
Regular Article - Interdisciplinary Topics
Universal properties of the four-body system with large scattering length
1
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Universität Bonn, 53115, Bonn, Germany
2
Department of Physics and Astronomy, Ohio University, 45701, Athens, OH, USA
* e-mail: hammer@itkp.uni-bonn.de
Received:
30
October
2006
Accepted:
9
March
2007
Published online:
30
March
2007
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 –
© Società Italiana di Fisica and Springer-Verlag, 2007