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arXiv · 0712.1231

Trajectory of virtual, bound and resonant Efimov states

M. T. Yamashita·T. Frederico·L. Tomio
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Abstract

The pole trajectory of Efimov states for a three-body $ααβ$ system with $αα$ unbound and $αβ$ bound is calculated using a zero-range Dirac-$δ$ potential. It is showed that a three-body bound state turns into a virtual one by increasing the $αβ$ binding energy. This result is consistent with previous results for three equal mass particles. The present approach considers the $n-n-^{18}C$ halo nucleus. However, the results have good perspective to be tested and applied in ultracold atomic systems, where one can realize such three-body configuration with tunable two-body interaction.

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M. T. Yamashita, T. Frederico, L. Tomio. 2007-12-07. Trajectory of virtual, bound and resonant Efimov states. https://doi.org/10.1007/s00601-008-0288-5

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