Shell Model Approach to the Description of Cluster Radioactivity of Heavy Nuclei
A microscopic version of the theory of cluster decay is developed. The proposed model is based on the concept of a preformation of a cluster due to nonadiabatic quantum fluctuations and its tunneling through a potential barrier. The main point of the model is to derive the formalism and to calculate quantitative characteristics of the fluctuations, i.e. the spectroscopic factors of investigated clusters in parent nuclei using the shell model approach.