Nuclear deformation effects in the cluster radioactivity

We investigate the influence of the nuclear deformation on the decay rates of some cluster emission processes. The interaction between the daughter and the cluster is given by a double folding potential including quadrupole and hexadecupole deformed densities of both fragments. The nuclear part of the nucleus-nucleus interaction is density dependent and at small distances a repulsive core in the potential will occur. In the frame of the WKB- approximation the assault frequency of the cluster will depend on the geo- metric properties of the potential pocket whereas the penetrability will be sensitive to changes in the barrier location. The results obtained in this pa- per point out that various combinations of cluster and daughter deformations may account for the measured values of the decay rate. The decay rather are however more sensitive to the changes in the daughter deformation due to the large mass asymmetry of the process.