Abstract
The Faddeev–Yakubovsky equations in configuration space are applied to the study of the four-body system αΛΛΞ comprising three distinct particles. We use the OBE-simulating potential of the NSC97 model for the ΛΞ and ΛΛ interactions. For the Ξα and Λα interactions we use phenomenological potentials. The Faddeev–Yakubovsky equations for the system and its subsystems are numerically solved in s-wave approach by the cluster reduction method. We evaluate the binding energy of the hypothetical multi-strangeness nucleus . We find that the existence of the ground state of this nucleus depends strongly on the behavior of the Ξα potential at small distances. In particular, for a Woods–Saxon type potential having no repulsive core, the system can be bound.
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