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

2006/10/31 by H.‐W. Hammer, H. -W. Hammer, Lucas Platter +1 · 1 citation
Physics and Astronomy · #Atomic and Molecular Physics #Boson #Bound state #Cluster (spacecraft) #Cold Atom Physics and Bose-Einstein Condensates #Feshbach resonance #Few-body systems #Many-body problem #Molecule #Nuclear physics research studies #Physics #Quantum #Quantum mechanics #Resonance (particle physics) #Scattering #Scattering length #cond-mat.other #nucl-th

paper · pdf · doi:10.1140/epja/i2006-10301-8

published as Eur.Phys.J.A32:113-120,2007 · 14 pages, 4 ps figures, minor changes, version to appear in EPJA

arxiv created 2007/03/29 · openalex publication_date 2007/03/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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