Strangeness -2 hypertriton.

We solve for the first time, the Faddeev equations for the bound state problem of the coupled ΛΛN-ΞNN system to study whether or not a hypertriton with strangeness -2 may exist. We make use of the interactions obtained from a chiral quark model describing the low-energy observables of the two-baryon systems with strangeness 0, -1, and -2 and three-baryon systems with strangeness 0 and -1. The ΛΛN system alone is unbound. However, when the full coupling to ΞNN is considered, the strangeness -2 three-baryon system with quantum numbers (I,J(P)) = (1/2,1/2(+)) becomes bound, with a binding energy of about 0.5 MeV. This result is compatible with the nonexistence of a stable (Λ)(3)H with isospin one.