The half-lives of cluster radioactivity (14C-34Si) are well reproduced by a new formula between half-lives and decay energies. This formula is a natural extension of both the Geiger-Nuttall law and the Viola-Seaborg formula from α-decay to cluster radioactivity. The half-lives of new cluster emitters are predicted based on this formula. These are useful for future experimental researches of cluster radioactivity. The physics related to this formula is analyzed and discussed.
Proton emission, α decay, and heavy-cluster radioactivity in high-frequency alternative electric fields