The cluster radioactivity of various heavy nuclei have been studied using the modified generalized liquid drop model (MGLDM) with a new statistical cluster preformation probability of Dong et al. [Eur. Phys. J. A 41, 197 (2009)]. The statistical preformation factor obtained obeys the relation for preformation factor or spectroscopic factor, $S={S_{\alpha }}^{(A_2-1)/3}$ of Blendowske et al. [Phys. Rev. Lett. 61, 1930 (1988)] with $S_{\alpha }$=0.063, exactly the same value reported. The predicted half-lives using MGLDM are in agreement with experimental data with standard deviation $\sigma$=1.16 and also consistent with other empirical formula predictions. Predictions on decay modes of nuclei, which are energetically allowed but not yet observed, are also done which will be helpful for scientists to design new experiments on cluster radioactivity.

使用修正的广义液滴模型（MGLDM）和 Dong 等人的新统计团簇预形成概率研究了各种重核的团簇放射性。[欧元。物理。J.A 41, 197 (2009)]。得到的统计性能因子服从性能因子或光谱因子的关系，$S={S_{\alpha }}^{（A_2-1）/3}$Blendowske 等人的。[物理。莱特牧师。61, 1930 (1988)] 与$S_{\alpha }$=0.063，与报告的值完全相同。使用 MGLDM 预测的半衰期与具有标准偏差的实验数据一致$\sigma$=1.16 也与其他经验公式预测一致。还对原子核衰变模式进行了预测，这些衰变模式在能量上是允许但尚未观察到的，这将有助于科学家设计关于团簇放射性的新实验。