论文标题
$α$衰减的预性因子的系统研究围绕$ \ boldsymbol {z = 82} $，$ \ boldsymbol {n = 126} $ shell liquid drop模型中的壳封闭
Systematic study of the $α$ decay preformation factor of nuclei around the $\boldsymbol{Z=82}$, $\boldsymbol{N=126}$ shell closures within a generalized liquid drop model
论文作者
论文摘要
在这项工作中，我们系统地研究了$α$衰减的预制因子$p_α$和$α$衰减的152个核的半衰期约$ z $ = 82，$ n $ = 126个封闭的壳，基于广义液滴模型，而$p_α$是从计算出的$α$ decay decay的中衰变的比例中提取的。结果表明，$p_α$与价质子（孔）$ n_p $和价中子（孔）$ n_n $之间存在明显的线性关系。同时，我们提取$ \ emph {z} $ = 82，$ \ emph {n} $ = 126个封闭的外壳，从sun \ textit {et al。} [\ href { {J。物理。 G：nucl。部分。物理。 $ \ bm {45} $，075106（2018）}]，其中$p_α$可以通过两个不同的显微镜公式来计算。我们发现$p_α$也与$ n_pn_n $有关。结合我们以前的作品[sun \ textit {et al。}，\ href {https://doi.org/10.1103/physrevc.94.024338} {phys。修订版C $ \ bm {94} $，024338（2016）}; deng \ textit {et al。}，\ href {https://doi.org/10.1103/ physrevc 96.024318} {同上。 $ \ bm {96} $，024318（2017）}; deng \ textit {et al。}，\ href {https://doi.org/10.1103/physrevc.97.0444322} {ibid。 $ \ bm {97} $，044322（2018）}]和seif \ textit {et al。}的工作C $ \ bm {84} $，064608（2011）}]，我们怀疑这些封闭壳周围的核的线性关系现象是独立的。它可能是由壳闭合周围的价质子（孔）和价中子（孔）的影响引起的。最后，使用通过拟合由广义液滴模型（GLDM）计算出的$P_α$获得的公式，我们计算了这些核的$α$衰减的半衰期。计算的结果与实验数据一致。
In this work, we systematically study the $α$ decay preformation factors $P_α$ and $α$ decay half-lives of 152 nuclei around $Z$ = 82, $N$ = 126 closed shells based on a generalized liquid drop model while $P_α$ is extracted from the ratio of the calculated $α$ decay half-life to the experimental one. The results show that there is an obvious linear relationship between $P_α$ and the product of valance protons (holes) $N_p$ and valance neutrons (holes) $N_n$. At the same time, we extract the $$P_α$ values of even-even nuclei around $\emph{Z}$ = 82, $\emph{N}$ = 126 closed shells from the work of Sun \textit{et al.} [\href {https://doi.org/10.1088/1361-6471/aac981} {J. Phys. G: Nucl. Part. Phys. $\bm{45}$, 075106 (2018)}], in which the $P_α$ can be calculated by two different microscopic formulas. We find that the $P_α$ are also related to $N_pN_n$. Combining with our previous works [Sun \textit{et al.}, \href {https://doi.org/10.1103/PhysRevC.94.024338} {Phys. Rev. C $\bm{94}$, 024338 (2016)}; Deng \textit{et al.}, \href {https://doi.org/10.1103/ PhysRevC 96.024318} {ibid. $\bm{96}$, 024318 (2017)}; Deng \textit{et al.}, \href {https://doi.org/10.1103/PhysRevC.97.044322} {ibid. $\bm{97}$, 044322 (2018)}] and the work of Seif \textit{et al.} [\href {http://dx.doi.org/10.1103/PhysRevC.84.064608}{Phys. Rev. C $\bm{84}$, 064608 (2011)}], we suspect that this phenomenon of linear relationship for the nuclei around those closed shells is model independent. It may be caused by the effect of the valence protons (holes) and valence neutrons (holes) around the shell closures. Finally, using the formula obtained by fitting the $P_α$ calculated by the generalized liquid drop model (GLDM), we calculate the $α$ decay half-lives of these nuclei. The calculated results are agree with the experimental data well.
