engleski

Bound state of the αΛΛΞ0 system

The Faddeev–Yakubovsky equations in configuration space are applied to the study of the four-body system α Lambda Lambda Chi comprising three distinct particles. We use the OBE-simulating potential of the NSC97 model for the Lambda Chi and Lambda Lambda interactions. For the Chi α and Lambda α 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 7_lambda Lambda0 He. We find that the existence of the ground state of this nucleus depends strongly on the behavior of the Chi α potential at small distances. In particular, for a Woods–Saxon type potential having no repulsive core, the system can be bound.

calculation of Faddeev equation in configuration space ; four body problem ; hypernucei

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