An improved Gamow-like formula for cluster radioactivity

An improved Gamow-like (IMGL) formula for cluster radioactivity half-lives is proposed by introducing an accurate charge radius formula, an analytic expression of assault frequency, the angular momentum carried by the emitted cluster and the isospin effect. By using the IMGL formula, the cluster radioactivity half-lives of 20 nuclei are calculated. It is shown that the IMGL formula improves the agreement with experimental data compared to its predecessor. Then, several sets of other semi-empirical formulas, including the Ni-Ren-Dong-Xu (NRDX), universal decay law (UDL), Tavares-Medeiros (TM), Balasubramaniam-Kumarasamy-Arunachalam-Gupta (BKAG), Viola-Seaborg-Sobiczewski (VSS) and extended universal decay law (EUDL) formulas, are used to calculate the half-lives of cluster radioactivity. By comparing the agreement between the half-lives extracted from different semi-empirical formulas and the experimental data, it is found that the IMGL formula is more accurate than others. At last, within the IMGL formula the cluster radioactivity half-lives of Z=85-97 isotopes that are not available experimentally are predicted. It might be helpful for searching for the new cluster emitters in future measurements.