Trajectory of virtual, bound and resonant Efimov states

Abstract

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.

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

References in corpus (8)

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Cited by in corpus (2)

• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems