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arXiv · 1702.06465

Universal behavior of few-boson systems using potential models

A. Kievsky·M. Viviani·R. Álvarez-Rodrí guez·M. Gattobigio·A. Deltuva
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Abstract

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.

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A. Kievsky, M. Viviani, R. Álvarez-Rodrí guez, M. Gattobigio, A. Deltuva. 2017-02-21. Universal behavior of few-boson systems using potential models. https://doi.org/10.1007/s00601-017-1228-z

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