标题： 半衰期和预形成因子的重核和超重核$α$-簇衰变的全局研究 显示英文标题

标题： A global study of $α$-clusters decay in heavy and superheavy nuclei with half-life and preformation factor

摘要： 通过将关键的微观核结构信息纳入半衰期和先形成因子的估算中，展示了对$\alpha$-团簇衰变的详细研究。 首次使用 k-交叉验证方法，挑选出两个半经验公式：(i)$\alpha$-衰变半衰期和(ii)$\alpha$-粒子先形成因子，并通过加入壳效应、奇核子阻塞效应以及不对称性效应，连同通常依赖于$\alpha$-衰变能（$Q_{\alpha}$）和$\alpha$-粒子角动量的常规依赖关系，对这些公式进行了后续修正。 这两个公式适用于由中子数 N$=$126 分开的两个不同区域，因为从实验规律来看，发现 N$=$126 的壳层闭合在决定$Q_{\alpha}$、$\alpha$衰变半衰期以及$\alpha$- 粒子预形成因子的趋势方面起着决定性作用。 结果表明，与其他几种类似的经过修改/重新拟合的半经验关系相比，引入上述自由度显著减少了估算中的误差，这表明所提出的公式具有稳健性。 在整个周期表中预测了$\alpha$衰变半衰期，包括未知领域、未来可能的自伴核 $^{112}$Ba 到$^{100}$Sn 的衰变链、通过新同位素$^{208}$Pa 和$^{204}$Ac 的衰变链以及等待中的超重核$^{298}$Og 和$^{299}$120 的衰变链。 显示英文摘要

摘要： A detailed study of $\alpha$-clusters decay is exhibited by incorporating crucial microscopic nuclear structure information into the estimations of half-life and preformation factor. For the first time, using the k-cross validation approach, two semi-empirical formulas for (i) $\alpha$-decay half-life and (ii) $\alpha$-particle preformation factor, are picked out and subsequently modified by including shell, odd-nucleon blocking, and asymmetry effects along with the usual dependence on $\alpha$-decay energy ($Q_{\alpha}$) and angular momentum of $\alpha$-particle. Both the formulas are fitted for the two different regions separated by neutron number N$=$126, as from the experimental systematics the role of N$=$126 shell closure is found decisive in determining the trends of $Q_{\alpha}$, $\alpha$-decay half-life, and $\alpha$-particle preformation factor. It is found that the inclusion of the above-mentioned degrees of freedom significantly reduces the errors in the estimations when compared with several other similar modified/refitted semi-empirical relations indicating the robustness of the proposed formulas. The predictions of $\alpha$-decay half-life throughout the periodic chart have been made including the unknown territory, future probable decay chain of self-conjugate nucleus $^{112}$Ba terminated on $^{100}$Sn, decay chain of $^{208}$Pa through new isotope $^{204}$Ac as well as decay chains of awaiting superheavy nuclei $^{298}$Og and $^{299}$120.