Trajectory of virtual, bound and resonant Efimov states

Details Trajectory of virtual, bound and resonant Efimov states Trajectory of virtual, bound and resonant Efimov states

2007-12-07

arxiv.org/abs/0712.1231v1

Few Body Syst.44:191-193,2008

Physics

Nuclear Physics

Nuclear Theory

Proceedings of the 20th European Conference on Few-Body Problems in Physics. To be published in Few-Body Systems

Scientific paper

10.1007/s00601-008-0288-5

The pole trajectory of Efimov states for a three-body $\alpha\alpha\beta$ system with $\alpha\alpha$ unbound and $\alpha\beta$ bound is calculated using a zero-range Dirac-$\delta$ potential. It is showed that a three-body bound state turns into a virtual one by increasing the $\alpha\beta$ 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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