Microscopic cluster model ofα+n,α+p,α+He3, andα+αelastic scattering from a realistic effective nuclear interaction

Abstract

An effective nucleon-nucleon interaction adapted to cluster-model calculations of collisions is derived from the realistic Argonne potential AV18 with the unitary correlation operator method. The unitary correlation is determined from the $\ensuremath{\alpha}+\ensuremath{\alpha}$ elastic phase shifts calculated in a cluster approach by the generator coordinate method coupled with the microscopic $R$-matrix method. With this interaction, the elastic phase shifts for the $\ensuremath{\alpha}+n$, $\ensuremath{\alpha}+p$, and $\ensuremath{\alpha}+{}^{3}\mathrm{He}$ collisions are calculated within the same model. Without further adjustment, a good agreement with experimental data is obtained with a small model space.