Cluster radioactivity of neutron-deficient nuclei in trans-tin region

The possibility of cluster radioactivity (CR) of the neutron-deficient nuclei in the trans-tin region is explored by using the effective liquid drop model (ELDM), generalized liquid drop model (GLDM), and several sets of analytic formulas. It is found that the minimal half-lives are at N(d) = 50 (N(d) is the neutron number of the daughter nucleus) for the same kind cluster emission because of the Q value (released energy) shell effect at N(d) = 50. Meanwhile, it is shown that the half-lives of α-like (A(e) = 4n, Z(e) = N(e). Z(e) and N(e) are the charge number and neutron number of the emitted cluster, respectively.) cluster emissions leading to the isotopes with Z(d) = 50 (Z(d) is the proton number of the daughter nucleus) are easier to measure than those of non-α-like (A(e) = 4n + 2) cases due to the large Q values in α-like cluster emission processes. Finally, some α-like CR half-lives of the N(d) = 50 nuclei and their neighbours are predicted, which are useful for searching for the new CR in future experiments.