Cluster decay half-lives of trans-lead nuclei based on a finite-range nucleon-nucleon interaction

Nuclear cluster radioactivity is investigated using microscopic potentials in the framework of the Wentzel-Kramers-Brillouin approximation of quantum tunneling by considering the Bohr-Sommerfeld quantization condition. The microscopic cluster-daughter potential is numerically constructed in the well-established double-folding model. A realistic M3Y-Paris NN interaction with the finite-range exchange part as well as the ordinary zero-range exchange NN force is considered in the present work. The influence of nuclear deformations on the cluster decay half-lives is investigated. Based on the available experimental data, the cluster preformation factors are extracted from the calculated and the measured half lives of cluster radioactivity. Some useful predictions of cluster emission half-lives are made for emissions of known clusters from possible candidates, which may guide future experiments.