Ground state of the O-17(Lambda) nucleus within the 4 alpha+Lambda clustermodel

The s-wave bound state of the 4 alpha + Lambda system is investigated. The relevant Solution to the Schrodinger equation is expanded in the basis form ed by the eigenfunctions of Hamiltonian for the 4 alpha subsystem. Differen tial equations for Yakubovsky components are employed to calculate basis fu nctions. Phenomenological potentials for alpha alpha and alpha Lambda inter actions are used. In the 4 alpha system, additional three-particle potentia ls for the interaction between a clusters are introduced in such a way as t o reproduce the experimental data on the binding energies, the root-mean-sq uare radii, and the charge form factors for the C-12 and the O-16 nucleus. The binding energy, the root-mean-square radius, and the hyperon distributi on in the ground state of the O-17(Lambda) nucleus are calculated. The resu lts of the calculations are in good agreement with those obtained on the ba sis of the O-16 + Lambda two-particle model with the phenomenological Woods -Saxon potential. (C) 2001 MAIK "Nauka/Interperiodica".