论文标题
集群放射性半衰期的系统计算在反元核中
Systematic calculations of cluster radioactivity half-lives in trans-lead nuclei
论文作者
论文摘要
在目前的工作中，考虑到群集的预性概率（PC），我们基于Wentzel-Kramer-brillouin（WKB）理论，我们系统地研究了22个反式核核的簇放射性半衰期，范围为221FR，范围为221FR至242cm。至于PC，当发射簇AC <28的质量数是通过R.Blendowskeis等人提出的PC与Alpha衰减预性概率PA的指数关系获得的。 [物理。莱特牧师。 61，1930（1988）]，而PA是通过聚类形成模型（CFM）计算的。而AC> = 28，它是通过PC对Ren等人提出的衰减产物的电荷依赖性来实现的。 [物理。 Rev. C 70，034304（2004）]。群集放射性的半衰期已通过密度依赖性聚类模型[Phys。 Rev. C 70，034304（2004）]以及通过半衰期的统一公式用于Alpha衰减和聚类放射性[Phys。 Rev. C 78，044310（2008）]。为了进行比较，Qi等人提出的普遍衰减定律（UDL）。 [物理。 Rev. C 80，044326（2009）]，这是Santhosh提出的Alpha衰减和聚类放射性的半经验模型[J.物理。 G：nucl。部分。物理。 35，085102（2008）]和半衰期的统一公式用于α衰变和簇放射性[Phys。还使用了Rev. C 78，044310（2008）]。计算出的结果在我们的工作中，NI的公式以及UDL可以很好地再现实验数据，并且比Santhosh模型中的数据更好。此外，我们将此模型扩展到预测51个核的半衰期，其簇的放射性在能量允许或观察到，但在Nubase2020中却没有量化。
In the present work, based on Wentzel-Kramers-Brillouin (WKB) theory, considering the cluster preformation probability (Pc), we systematically investigate the cluster radioactivity half-lives of 22 trans-lead nuclei ranging from 221Fr to 242Cm. As for Pc, when the mass number of the emitted cluster Ac<28, it is obtained by the exponential relationship of Pc to the alpha decay preformation probability Pa proposed by R.Blendowskeis et al. [Phys. Rev. Lett. 61, 1930 (1988)], while Pa is calculated through cluster-formation model (CFM). Whereas Ac >= 28, it is achieved through the charge-number dependence of Pc on the decay products proposed by Ren et al. [Phys. Rev. C 70, 034304 (2004)]. The half-lives of cluster radioactivity have been calculated by the density-dependent cluster model [Phys. Rev. C 70, 034304 (2004)] and by the unified formula of half-lives for alpha decay and cluster radioactivity [Phys. Rev. C 78, 044310 (2008)]. For comparison, a universal decay law (UDL) proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], a semi-empirical model for both alpha decay and cluster radioactivity proposed by Santhosh [J. Phys. G: Nucl. Part. Phys. 35, 085102 (2008)] and a unified formula of half-lives for alpha decay and cluster radioactivity [Phys. Rev. C 78, 044310 (2008)] are also used. The calculated results in our work, Ni's formula as well as UDL can well reproduce the experimental data and are better than those in Santhosh's model. In addition, we extend this model to predict the half-lives for 51 nuclei, whose cluster radioactivity is energetically allowed or observed but yet not quantified in NUBASE2020.
