用于研究α衰变和团簇衰变的量子化约束参数方法
A Quantization-Constrained Parameter Method for Studying $α$ and Cluster Decay
- University of Science（越南国立大学下属科学大学）
- Vietnam National University（越南国立大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
提出量子化约束参数方法，无需拟合即可确定Woods-Saxon势参数，用于α和团簇衰变半衰期研究，验证了子核形变的作用，并引入修正势以提高预测精度。
AI中文摘要：
我们提出了一种量子化约束参数方法（QCPM），用于在α衰变和团簇衰变半衰期研究中确定Woods-Saxon（WS）势的深度$V_0$和弥散度$a$。在该方法中，通过施加Bohr--Sommerfeld（BS）量子化条件来解析推导这些参数，从而无需进行参数拟合。计算得到的弥散度值表现出对核壳结构的强烈依赖性。通过弹性α散射数据的光学模型分析，验证了QCPM导出的WS势的可靠性。由此得到的α衰变和团簇衰变半衰期与实验值吻合良好。我们的结果强调了子核形变在提高理论预测与实验数据一致性方面的显著作用。此外，我们引入了一种修正的Woods--Saxon（mWS）势，它能有效近似包含核介质效应的折叠势的表面行为。这一修正使得半衰期与测量值更加接近。由于无需可调参数如$V_0$和$a$，QCPM增强了唯象势在α衰变和团簇衰变研究中的预测能力。
英文摘要：
We propose a Quantization-Constrained Parameter Method (QCPM) for determining the Woods-Saxon (WS) potential depth $V_0$ and diffuseness $a$ in studies of $α$ and cluster decay half-lives. In this approach, the parameters are derived analytically by imposing the Bohr--Sommerfeld (BS) quantization condition, thereby eliminating the need for parameter fitting. The calculated diffuseness values exhibit a strong dependence on nuclear shell structure. The reliability of the QCPM-derived WS potential is validated through optical model analyses of elastic $α$ scattering data. The resulting $α$ and cluster decay half-lives show good agreement with experimental values. Our results highlight the significant role of daughter-nucleus deformation in improving the consistency between theoretical predictions and experimental data. In addition, we introduce a modified Woods--Saxon (mWS) potential that effectively approximates the surface behavior of folding potentials incorporating the nuclear medium effect. This modification leads to closer agreement with the measured half-lives. Free of adjustable parameters such as $V_0$ and $a$, the QCPM enhances the predictive power of phenomenological potentials for $α$ and cluster decay studies.
