Abstract
Possible bound and resonant states of the hypernuclear systems Λnn and ΛΛn are sought as zeros of the corresponding three-body Jost functions calculated within the framework of the hyperspherical approach with local two-body S-wave potentials describing the nn, Λn, and ΛΛ interactions. Very wide near-threshold resonance is found for the Λnn system. The position of this resonance turned out to be sensitive to the choice of the Λn-potential. Bound Λnn state only appears if the two-body potentials are multiplied by a factor of ∼1.5. The system ΛΛn can only have a near-threshold resonance with the ΛΛ-potential which overbinds the hypernucleus He Λ Λ 6 .
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