In the present work, based on Gamow-like model, considering the deformation effect of Coulomb po-
tential, where the effective nuclear constant is parameterized, we systematically investigate the cluster radioactivity half-lives of 25 trans-lead nuclei. For comparison, a universal
decay law (UDL) proposed by Qi et al. [Phys. Rev. C 80,044326 (2009)], a new semi-empirical formula for exotic
cluster decay proposed by M. Balasubramaniam et al. [Phys. Rev. C 70,017301 (2004)] and a scaling law proposed
by M. Horoi [J. Phys. G: Nucl. Part. Phys. 30,945 (2004)] are also used. The cal...