Microscopic cluster model of α plus n, α plus p, α + 3He, and α plus α elastic scattering from a realistic effective nuclear interaction

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 alpha + 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 alpha + n, alpha + p, and alpha + He-3 collisions are calculated within the same model. Without further adjustment, a good agreement with experimental data is obtained with a small model space.