标题： $α$-衰变系统学对于超重核：子核的形变效应 显示英文标题

标题： $α$-decay systematics for superheavy nucleus: the effect of deformation of daughter nucleus

摘要： 最近，V.Yu. Denisov 提出了一种新的经验公式，结合了子核的形变，与忽略子核形变的公式相比，显著提高了对偶偶核$\alpha$-衰变半衰期的描述。在本工作中，我们将 V.Yu. Denisov 提出的子核形变推广到 DUR 模型、AKRA 模型和新 Geiger-Nuttall 定律，生成了这三个模型的三种改进版本。然后，我们使用原始和修改后的 DUR 模型、AKRA 模型和新 Geiger-Nuttall 定律来研究 400 种同位素的$\alpha$-衰变半衰期。结果表明，在六个模型中，修改后的 AKRA 模型与实验的$\alpha$-衰变半衰期数据最接近。为了进行比较分析，我们使用为 DUR 模型（DUR+D）、AKRA 模型（AKRA+D）和 V.Yu. Denisov 提出的新经验公式（ND）开发的新经验公式来预测 Z = 118、120、122 和 124 的 71 个偶偶核的$\alpha$-衰变特性。DUR+D 模型、AKRA+D 模型和 ND 的预测总体上基本一致。值得注意的是，当中子数$N>190$时，DUR+D 模型和 AKRA+D 模型的预测超过了 ND 的预测，这可能是由于 DUR+D 模型和 AKRA+D 模型中包含了 ND 中未包含的额外物理贡献（例如，形变子核的十六极和一百二十极形变）。 显示英文摘要

摘要： Recently, V.Yu. Denisov proposed a new empirical formula incorporating the deformation of the daughter nucleus, which has significantly improved the description of $\alpha$-decay half-lives for even-even nuclei compared to formulas neglecting the deformation of the daughter nucleus. In this work, we generalize the deformation of the daughter nucleus proposed by V.Yu. Denisov to the DUR model, the AKRA model, the New Geiger-Nuttall law, generating three improved versions of these models. We then employ both the original and modified the DUR model, the AKRA model, and the New Geiger-Nuttall law to investigate the $\alpha$-decay half-lives of 400 isotopes. Results show that among the six models, the modified AKRA model provides the closest agreement with experimental $\alpha$-decay half-life data. For comparative analysis, we use the new empirical formulas developed for the DUR model (DUR+D), the AKRA model (AKRA+D) and a new empirical (ND) proposed by V.Yu. Denisov to predict the $\alpha$-decay properties of 71 even-even nuclei with Z = 118, 120, 122, and 124. The predictions from the DUR+D model, the AKRA+D model, and ND are largely consistent overall. Notably, when the neutron number $N>190$, the predictions from the DUR+D model and the AKRA+D model exceed those of ND, which may be attributed to additional physical contributions (e.g., the hexadecapole and the hexacontatetrapole deformation of the deformed daughter nucleus) incorporated in the DUR+D model and the AKRA+D model but not in ND.