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arXiv:cond-mat/0410417 · Physics Reports

Universality in few-body systems with large scattering length

Eric Braaten, H.‐W. Hammer

Published May 3, 2006• 1,316 citations
arXivHTMLPDF
DOI
10.1016/j.physrep.2006.03.001

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Journal of Physics Conference Series•Jul 7, 2014•7 citations
Some aspects of universal properties are discussed in few-atom as well as in few- nucleon systems. When the two-body scattering length a is large the three-body system presents some peculiar characteristics such as the Efimov effect. In the present contribution, the zerorange theory deduced by V. Efimov is compared to results obtained using potential models. Accordingly range corrections are introduced. These corrections appear as a shift in the variable K * a with K * the three-body parameter. The three-boson spectrum, atom-dimer scattering and the recombination rate at threshold are analyzed using the finite-range theory proposed. In the case of nuclear systems, n – d scattering is discussed using the universal formula derived by Efimov. Furthermore, the spectrum up to N = 6 is discussed using the central Volkov potential.