Systematic calculations on cluster radioactivity half-lives

Abstract

Half-lives of cluster radioactivity have been systematically investigated using the effective liquid drop description with the varying mass asymmetry shape and effective inertial coefficient. A new nuclear radius formula including the isospin-dependent term is presented instead of the old empirical radius formula Rp = 1.20A1/3p. The calculated half-lives with the new nuclear radius formula are in good agreement with the available experimental data and closer to the experimental values than the ones with the old nuclear radius formula. We made some predictions on the new possible island of cluster radioactivity around the double-magic daughter nucleus 100Sn. The calculated results show that the α-like-nuclei clusters are the most probable cases for measurements in this region. We also try to find cluster radioactivities around another double-magic daughter nucleus 132Sn, but there is no clear evidence for the existence of cluster radioactivity. The predictions on the half-lives of cluster radioactivity around the daughter nucleus 208Pb are made as well. These results may be useful for future experiments.