Lambda alpha alpha alpha cluster model for the C-13(Lambda) nucleus

The C-13(Lambda) hypernucleus is treated as a (1/2)+ bound state of the Lam bda alpha alpha alpha system. The s-wave model is used on the basis of diff erential equations for the corresponding Yakubovsky components. No account is taken of 2 + 2 clustering in the system. Phenomenological potentials are used to simulate the alpha alpha and alpha Lambda interactions. The system as a whole is bound owing to the additional potential of three-body intera ction between the alpha-particle clusters. The differential equations for t he Yakubovsky components are solved numerically by the cluster-reduction me thod. The binding energies are calculated for the ground and the first exci ted state of the C-13(Lambda) hypernucleus. It is shown that the dominant t ype of clustering in the system is (Lambda alpha alpha)alpha. (C) 2000 MAIK "Nauka/Interperiodica".