A geometric and an algebraic model for tri-nuclear molecules

Abstract

A geometrical model for tri-nuclear molecules is reviewed. For an analytical solution the nuclei have to be prolately deformed and in a line connected to each other. Furthermore, there have to be two heavy and one light cluster, the latter sandwiched between the two heavy clusters. As an alternative we also study an algebraic model of tri-cluster molecules based on a U(7) group. This model allows arbitrary orientations of the center of masses.