The NΛΛ - ΞnN bound state problem

We use a diagrammatic method to derive the Faddeev equations of the coupled NΛΛ-ΞNN system and apply them to the bound-state problem of the channel. We use as input the nucleon-nucleon, nucleon-hyperon and hyperon-hyperon interactions obtained from a chiral constituent quark model. We explore different parametrizations of the quark-quark interacting potential. While the system alone is unbound, the full coupled channel problem NΛΛ-ΞNN may present a three-baryon bound state just below threshold. Different from double- hypernuclei with four nucleons or more, where the Pauli principle acts strongly because there is no room for more that four nucleons in S wave, in H the full interaction can act in S wave.