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The pole trajectory of Efimov states for a three-body $\alpha\alpha\beta$system with $\alpha\alpha$ unbound and $\alpha\beta$ bound is calculated usinga zero-range Dirac-$\delta$ potential. It is showed that a three-body boundstate 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, theresults have good perspective to be tested and applied in ultracold atomicsystems, where one can realize such three-body configuration with tunabletwo-body interaction.

Trajectory of virtual, bound and resonant Efimov states