Half-lives of cluster radioactivity with a generalized liquid-drop model

Half-lives of cluster radioactivity treated as a very asymmetric spontaneous fission are investigated within the WKB barrier-penetration probability. The potential barrier is constructed using a generalized liquid-drop model (GLDM), taking into account the nuclear proximity energy, the mass asymmetry, an accurate nuclear radius, a phenomenological pairing correction and the microscopic shell corrections. The calculated cluster emission half-lives accurately reproduce the experimental data. Predictions are provided for possible cluster radioactivity within the GLDM using the up-to-date atomic mass table AME2011, which may be used for the future experiments.