探寻通用团簇预形成公式：估算团簇形成能的新范式
Quest for a Universal Cluster Preformation Formula: A new paradigm for estimating the cluster formation energy
AI总结：
本研究提出了一种包含所有影响参数的新团簇预形成概率($P_0$)公式，开辟了分别估算团簇形成与发射能量的新范式，并证明其半衰期预测与实验数据高度吻合。
摘要：
本研究呈现了核团簇预形成的整体图景，并相信其发射的运动学。除了拟合预形成公式以重现实验半衰期外，我们还研究了中等、重和超重核的团簇衰变过程中所涉参数之间的相互关系。基于已确立的概念性发现，我们提出了一种新的团簇预形成概率（$P_0$）公式，该公式包含了团簇放射性的所有影响参数，因此在文献中的现有公式中具有优势。此外，我们假设母核内团簇形成需要一部分衰变能。所提出的公式开辟了新范式，能分别估算团簇形成与其发射期间贡献的能量，从而表明 Q 值的贡献分为三大部分，分别解释团簇预形成、其发射以及子核反冲期间贡献的能量。此外，$P_0$ 表达式能够很好地容纳重粒子放射性（HPR）的理论概念。结果显示，与 $α$ 衰变类似，在团簇研究中对 $P_0$ 和 Q 值的准确估计丰富了关于核结构的定性信息。然而分析表明，由于 $\log_{10}T_{1/2}$ 和 $\sqrt{Q}$ 之间存在非线性关系（不同于 $α$ 衰变），Geiger-Nuttall 定律在团簇化中并非最佳折中方案。我们已证明，通过纳入所提出的公式，基于微观 R3Y 和唯象 M3Y NN 势的半衰期预测均与现有实验数据高度吻合，且微小差异可追溯至其特有的势垒特性。
英文摘要：
This study presents a holistic picture of the preformation of nuclear clusters with credence to the kinematics of their emissions. Besides the fitting of the preformation formula to reproduce the experimental half-lives, we have investigated the interrelationship between the parameters involved in the cluster decay process for medium, heavy and superheavy nuclei. Based on the established conceptual findings, we propose a new cluster preformation probability ($P_0$) formula that incorporates all influential parameters of the cluster radioactivity and thus has an edge over the existing formulae in the literature. Further, we hypothesize that a fraction of the decay energy is needed for cluster formation within the parent nucleus. The proposed formula opens a new paradigm to separately estimate the energy contributed during the cluster formation from its emission and thus shows that the contribution of the Q-value splits into three major parts accounting for the energy contributed during the cluster preformation, its emission and recoil of the daughter nucleus. Moreover, the expression $P_0$ is adept at accommodating the theorized concept of heavy particle radioactivity (HPR). The result reveals that, like $α$-decay, a proper estimation of the $P_0$ and $Q$-value in the cluster studies are enriched with qualitative information about the nuclear structure. However, from the analysis, the Geiger-Nuttall law is not the best compromise in the clustering due to the non-linearity between $\log_{10}T_{1/2}$ and $\sqrt{Q}$, unlike in $α$-decay. We have demonstrated that with the inclusion of the proposed formula, the half-life predictions from both microscopic R3Y and phenomenological M3Y NN potentials closely agree with the available experimental data and that the slight variation can be traced to their peculiar barrier characteristics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
