The \(\alpha \) decay half-lives and the fine structure phenomenon are investigated with fission-like models. A superasymmetric fission path in a configuration space spanned by five degrees of freedom is determined in accordance with the least action principle. The deformation energy is evaluated within the macroscopic–microscopic approach while the inertia is obtained in the framework of the cranking model. The single particle levels schemes are calculated connecting the ground state of the parent nucleus and the asymptotic configuration of two separated nuclei. The probabilities to find different seniority configurations are obtained by solving time-dependent pairing equations generalized by including the Landau–Zener effect and the Coriolis coupling. The microscopic equations of motion for even numbers of particles are deduced, those for odd-nuclear systems being obtained in previous works. The models used in the calculations are reviewed within a detailed description. The microscopic equations of motion are solved by starting from the ground state configuration and arriving at the scission point. A description of all the possible configurations at scission together with their realization probabilities is given. By fitting the inter-nuclear velocity, the best agreement between experimental and theoretical hindrance factors is retained. The theoretical results for the \(\alpha \) decay half-lives for \(^{211,212}\)Po and \(^{211}\)Bi are compared with experimental data showing discrepancies ranging over three orders of magnitude. The accuracy of the model concerning the calculations of the half-lives for different channels is discussed. The connections between the classical theories concerning the preformation of the \(\alpha \) particle and the fission-like descriptions are highlighted.

中文翻译：

---

$$ \ alpha $$α的精细结构从与时间相关的配对方程中衰减

的\（\阿尔法\）用类似裂变的模型研究了衰变半衰期和精细结构现象。根据最小作用原理确定在跨越五个自由度的配置空间中的超对称裂变路径。在宏观-微观方法中评估变形能，而在起动模型的框架中获得惯性。计算单个粒子级方案，将母核的基态与两个分离的核的渐近构型联系起来。通过求解与时间有关的配对方程，可以得到找到不同资历结构的概率，这些方程包括Landau-Zener效应和Coriolis耦合。推导了偶数个粒子的微观运动方程，先前工作中获得的那些用于奇核系统的数据。在详细说明中对计算中使用的模型进行了回顾。微观的运动方程是通过从基态配置开始并到达断裂点来求解的。给出了所有可能配置的描述及其实现概率。通过拟合核间速度，可以保留实验和理论障碍因素之间的最佳一致性。的理论结果 给出了所有可能配置的描述及其实现概率。通过拟合核间速度，可以保留实验和理论障碍因素之间的最佳一致性。的理论结果 给出了所有可能配置的描述及其实现概率。通过拟合核间速度，可以保留实验和理论障碍因素之间的最佳一致性。的理论结果将\（^ {211,212} \） Po和\（^ {211} \） Bi的\（\ alpha \）衰减半衰期与显示差异超过三个数量级的实验数据进行了比较。讨论了有关不同通道半衰期计算的模型准确性。强调了有关\（\ alpha \）粒子预形成的经典理论与类似裂变的描述之间的联系。