Cluster Radioactivity in Trans-lead Nuclei Reexamined

We revisit the cluster emission from trans-lead nuclei within the density dependent cluster model. According to the refined density distribution of daughter and cluster via the available experimental data on nuclear charge radii and neutron skin thickness, the crucial cluster-core potential is constructed by the double-folding model. Then the Schrödinger equation of the cluster-core relative motion is solved along the outgoing Coulomb wave function boundary condition to obtain the decay width. The present decay width of cluster radioactivity is clearly augmented as compared to our previous results without the specific concern of the density distribution of daughter and cluster. Moreover, the computed decay width reduces along with the increasingly depressed density in the cluster center.