Comparison of cluster and shell model wave functions of deformed32S states

Abstract

The deformed states of 328 are studied in two different representations as a calculable microscopic example for the fission of actinides. The first representation is a two-centre shell model description, and the other one is in the framework of the a-cluster model. We compare the wave functions obtained in each model and find that the cluster model wave function may be represented by a small number of the lowest two-centre shell model wave functions for the whole range of deformations; hence, both models describe the same physical situation.

Clustering aspects in nuclei and their microscopic description

“…By considering wave packets of the reaction partners which at the same time are relatively sharply peaked in the local and momentum space, the transition to classical equations of motion can be made where all parameters contained in these equations are derived from a microscopic quantum-mechanical many-particle theory (correspondence principle). This is a way, for instance, to obtain a correct quantummechanical derivation of the classical equations of motion with friction terms which are used, for example, for the description of heavy-ion reactions and for the timedependent treatment of fission processes (Bauhoff and Wildermuth 1979).…”