Nonexistence of a $Λnn$ bound state

It has been recently suggested the existence of a neutral bound state of two neutrons and a $Λ$ hyperon, $^3_Λn$. We point out that using either simple separable potentials or a full-fledged calculation with realistic baryon-baryon interactions derived from the constituent quark cluster model there is no possibility for the existence of such a $Λnn$ bound state. For this purpose, we performed a full Faddeev calculation of the $Λnn$ system in the $(I,J^P)=(1,1/2^+)$ channel using the interactions derived from the constituent quark cluster model which describe well the two-body $NN$ and $NY$ data and the $Λnp$ hypertriton.

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