Application of the 2α+n Three-Body Cluster Model of the ^9 Be Nucleus in the Reaction ^9 Be( ^3 He, ^3 He) ^9 Be

Elastic-scattering processes in the ^3He+^9 Be reaction are studied on the basis of the 2 α+n three-body cluster model of the ^9 Be nucleus. The ^9 Be three-body wave function obtained by the variational method in the Gaussian basis is used to derive an analytic representation of nuclear-matter density distribution. The interaction potential calculated for the ^3He+^9 Be system by the double-folding method is employed to analyze experimental data on the differential cross section for the elastic-scattering process ^9 Be ( ^3 He, ^3 He) ^9 Be at collision energies between 30 and 60 MeV.