发表机构
Institute of Science Tokyo; University of Tsukuba; RIKEN Nishina Center（东京科学大学; 筑波大学; 理化学研究所仁科加速器中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究基于DCFHF方法计算α粒子与¹⁰⁰Sn的核间势，发现排斥芯高度随α团簇熔化降低，证实DCFHF波函数中可能存在类α团簇结构，为重核α团簇研究提供了新途径。
AI 中文摘要
基于Skyrme型能量密度泛函（EDF），采用密度约束冻结哈特利-福克（DCFHF）方法计算α粒子与子核（¹⁰⁰Sn）之间的核间势。结果表明，该势在短距离处存在排斥芯，在核表面附近存在吸引口袋。我们证实，采用Skyrme DCFHF方法得到的势与采用Skyrme EDF的扩展托马斯-费米近似得到的势吻合良好。此外，研究表明，考虑原子核内部α团簇的熔化会使排斥芯的高度降低。借助核子定域函数，我们发现DCFHF中得到的态清晰地表现出自旋向上和自旋向下的中子与质子的定域化，这表明DCFHF波函数中可能存在类α团簇结构。这些结果为重核中的α团簇研究在平均场计算框架内开辟了新的可能性。
英文摘要
The inter-nucleus potential between an $α$ particle and a daughter nucleus ($^{100}$Sn) is calculated based on the density-constraint frozen Hartree-Fock (DCFHF) method with a Skyrme-type energy density functional (EDF). It is shown that the potential has a repulsive core at short distances with an attractive pocket close to the nuclear surface. We have confirmed that the potential obtained with the Skyrme DCFHF method agrees well with that obtained with the extended Thomas-Fermi approximation to the Skyrme EDF. Furthermore, it is demonstrated that the height of the repulsive core decreases by taking into account melting of the $α$ cluster inside a nucleus. With the aid of the nucleon localization function, we show that the obtained state in DCFHF clearly manifests localization of spin-up and spin-down neutrons and protons, suggesting the possible emergence of an $α$-cluster-like structure in the DCFHF wave function. These results opens up a possibility to investigate $α$ clustering in heavy nuclei within mean-field calculations.
Comments6 pages, 2 figures, Proceedings of the 12th International Conference on Clustering Aspects of Nuclear Structure and Dynamics (Cluster's26), London, UK, 8-12 June, 2026
