在团簇形成模型和邻近势中系统研究PDMATHAAB周围原子核的$\boldsymbol{\mathcalα}$衰变、$\boldsymbol{N=126}$壳层闭合
Systematic study of $\boldsymbol{\mathcalα}$ decay of nuclei around $\boldsymbol{Z=82}$, $\boldsymbol{N=126}$ shell closure within the cluster-formation model and proximity potential 1977 formalism
摘要：
本文系统地研究了团簇形成模型中的$\mathcalα$衰变预形成因子$P_α$，并利用邻近势1977方法研究了$Z=82$、$N=126$闭壳层周围原子核的$\mathcalα$衰变半衰期.计算结果表明，实际的$P_α$与价质子（空穴）和价中子（空穴）的乘积$N_pN_n$成线性关系。这与我们以前的工作[X.- D. Sun \textit{et al.}，\href{https://journals.aps.org/prc/abstract/10.1103/PhysRevC.94.024338}{ Phys. Rev. C 94, 024338 (2016)}，J.- G. Deng \textit{et al.}，\href{https://journals.aps.org/prc/abstract/10.1103/PhysRevC.96.024318}{Phys. Rev. C 96, 024318 (2017)} ]，其中$P_α$是模型依赖性的，并且从计算的$\mathcalα$半衰期与实验数据的比率中提取。结合我们以前的工作，我们证实了价质子-中子相互作用在$Z=82$周围的核的$\mathcalα$预形成中起着关键作用，无论$\mathcalα$是模型依赖的还是微观的，$N=126$壳层闭合.此外，我们计算的$\mathcalα$衰变半衰期，采用邻近势1977年的形式主义采取$P_α$评估的团簇形成模型可以很好地再现实验数据，并显着减少误差。
英文摘要：
In the present work, we systematically study the $\mathcalα$ decay preformation factors $P_α$ within the cluster-formation model and $\mathcalα$ decay half-lives by the proximity potential 1977 formalism for nuclei around $Z=82$, $N=126$ closed shells. The calculations show that the realistic $P_α$ is linearly dependent on the product of valance protons (holes) and valance neutrons (holes) $N_pN_n$. It is consistent with our previous works [X.-D. Sun \textit{et al.}, \href{https://journals.aps.org/prc/abstract/10.1103/PhysRevC.94.024338}{ Phys. Rev. C 94, 024338 (2016)}, J.-G. Deng \textit{et al.}, \href{https://journals.aps.org/prc/abstract/10.1103/PhysRevC.96.024318}{Phys. Rev. C 96, 024318 (2017)}], which $P_α$ are model-dependent and extracted from the ratios of calculated $\mathcalα$ half-lives to experimental data. Combining with our previous works, we confirm that the valance proton-neutron interaction plays a key role in the $\mathcalα$ preformation for nuclei around $Z=82$, $N=126$ shell closures whether the $P_α$ is model-dependent or microcosmic. In addition, our calculated $\mathcalα$ decay half-lives by using the proximity potential 1977 formalism taking $P_α$ evaluated by the cluster-formation model can well reproduce the experimental data and significantly reduce the errors.
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