Stable bound states of N's, Λ's and Ξ's

We review our recent work about the stability of strange few-body systems containing N's, Λ's, and Ξ's. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifts of the nucleon-nucleon system and the latest updates of the hyperon-nucleon and hyperon-hyperon ESC08c Nijmegen potentials. We solve the three- and four-body bound-state problems by means of Faddeev equations and a generalized Gaussian variational method, respectively. The hypertriton, Λnp (I)J^P = (1/2)1/2⁺, is bound by 144 keV; the recently discussed Λnn (I)J^P = (1/2)1/2⁺ system is unbound, as well as the ΛΛnn (I)J^P = (1)0⁺system, being just above threshold. Our results indicate that the ΞNN, ΞΞN and ΞΞNN systems with maximal isospin might be bound.