Application of shell model with non-orthogonal basis to nuclear clustering

Our goal is to study nuclear structure and reactions from ab initio principles. To do so we use a no-core shell model with non-orthogonal basis and apply the framework of the Resonating Group Method. In this presentation we discuss the overlap norm kernel and study the role of the orthogonality condition for channel wavefunctions. Some simple examples will be used to illustrate the techniques and the physics behind our approach.