LAUSR

In the present work, derived from Balasubramaniam’s formula [Phys. Rev. C 70, 017301 (2004)], further considering the effects of parent nucleus mass, blocking effect and reduced mass on cluster radioactivity half-lives, we propose a new Geiger-Nuttall law which is model-independent for systematically evaluating the half-lives of this process for 10 even-even nuclei and 16 odd-A nuclei. For comparison, a single universal curve for cluster radioactivities and α decay proposed by D. N. Poenaru [Phys. Rev. C 83, 014601 (2011)], a scaling law proposed by M. Horoi [J. Phys. G: Nucl. Part. Phys. 30, 945 (2004)], an extension of Viola-Seaborg formula from α decay to cluster radioactivity proposed by Ren et al. [Phys. Rev. C 70, 034304 (2004)], a new semi-empirical formula for exotic cluster decay proposed by M. Balasubramaniam et al. [Phys. Rev. C 70, 017301 (2004)] and a unified formula of half-lives for α decay and cluster radioactivity proposed by Ni et al. [Phys. Rev. C 78, 044310 (2008)] are also used. The calculated results of our new Geiger-Nuttall law are in good agreement with the experimental half-lives with the least rms being 0.605 and are better than the compared ones. Moreover, we extend this formula to predict the cluster radioactivity half-lives of 51 nuclei whose decay energy are energetically allowed or observed but not yet quantified in NUBASE2020.