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  • Kievsky, A; Viviani, M; R Álvarez-Rodrí guez; Gattobigio, M; Deltuva, A

    arXiv.org, 02/2017
    Paper, Journal Article

    The universal behavior of a three-boson system close to the unitary limit is encoded in a simple dependence of many observables in terms of few parameters. For example the product of the three-body parameter \(\kappa_*\) and the two-body scattering length \(a\), \(\kappa_* a\) depends on the angle \(\xi\) defined by \(E_3/E_2=\tan^2\xi\). A similar dependence is observed in the ratio \(a_{AD}/a\) with \(a_{AD}\) the boson-dimer scattering length. We use a two-parameter potential to determine this simple behavior and, as an application, to compute \(a_{AD}\) for the case of three \(^4\)He atoms.