复标度方法中的时间演化形式：应用于$^{6}$Be的双质子衰变
Time-evolution formalism in the complex scaling method: Application to the two-proton decay of $^{6}$Be
- Tokuyama College, National Institute of Technology, Shunan（国立大学法人山口高等专门学校德山学院）
- RIKEN Nishina Center（理化学研究所仁科加速器研究中心）
- Nuclear Reaction Data Centre, Faculty of Science, Hokkaido University（北海道大学理学部核反应数据中心）
- General Education, Faculty of Engineering, Osaka Institute of Technology（大阪工业大学工学部一般教育课程）
- Research Center for Nuclear Physics (RCNP), Osaka University（大阪大学核物理研究中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究将复标度时间演化形式应用于$^{6}$Be的双质子衰变，通过三体模型和现实相互作用，成功描述了衰变宽度、空间演化及自旋关联，验证了该框架的适用性。
AI中文摘要：
我们将复标度时间演化算符应用于$^{6}$Be的双质子衰变。该原子核被描述为一个$\alpha+p+p$三体系统，采用显式的雅可比坐标重排，并对质子-质子子系统使用现实的Argonne $v8'$核子-核子相互作用。从受限的初始波包出发，衰变动力学通过最终哈密顿量的复标度本征态展开来描述。从晚期存活概率提取的衰变宽度与从CSM共振极点获得的衰变宽度密切一致。不同雅可比坐标中的时间相关密度揭示了演化三体几何的互补方面，而自旋单态分量在衰变过程中保持主导。特别是，即使在现实核子-核子相互作用的强短程排斥存在下，关联的双质子构型仍然持续存在。这些结果证明了复标度时间演化框架对显式三体衰变动力的适用性，并为$^{6}$Be的衰变宽度、空间演化和自旋关联提供了一致的描述。
英文摘要：
We apply our complex-scaled time-evolution operator to the two-proton decay of $^{6}$Be. The nucleus is described as an $α+p+p$ three-body system with explicit Jacobi-coordinate rearrangement and the realistic Argonne $v8'$ NN interaction for the proton-proton subsystem. Starting from a confined initial wave packet, the decay dynamics are described by expansion over the complex-scaled eigenstates of the final Hamiltonian. The decay width extracted from the late-time survival probability agrees closely with that obtained from the CSM resonance pole. The time-dependent densities in different Jacobi coordinates reveal complementary aspects of the evolving three-body geometry, while the spin-singlet component remains dominant during the decay. In particular, the correlated two-proton configuration persists even in the presence of the strong short-range repulsion of the realistic NN interaction. These results demonstrate the applicability of the complex-scaled time-evolution framework to explicit three-body decay dynamics and provide a consistent description of the decay width, spatial evolution, and spin correlations of $^{6}$Be.
