Direct solution of the Hill---Wheeler equation for alpha--alpha scattering

In the cluster model of Brink, Margenau, and Bloch, the motion of two clusters is described by an integral equation for the generator-coordinate amplitude. It is shown that a direct solution of this Hill-Wheeler equation provides a practical framework for the study of cluster-cluster scattering; however, the Coulomb potential is not yet included in the formalism. The case of α+α scattering (with the Coulomb potential neglected) is studied in some detail and dineutron---dineutron scattering is also mentioned.