AI 中文总结
研究人员通过推转 seniority 模型精确对角化，首次定量实现有限核系统拓扑量子化排列的微观描述，发现含非零陈数的中间相，为相关实验研究提供定量基础。
AI 中文摘要
我们首次在有限核系统中实现了拓扑量子化排列的定量微观描述。该实现通过对推转 seniority 模型的精确对角化获得，在推转轴取向的球面上计算第一陈数，并与取向平均的排列度及推转坐标系构型概率一同分析。当系统从初始配对构型演变为愈发对齐的构型时，陈数以整数阶跃变化。研究发现了一个新的中间相，其中陈数已非零，而排列度仍在向其量子化值演化。我们表明，这种偏差源于配对、轴向四极分裂与科里奥利混合之间的竞争。因此，我们的微观方法揭示了现实原子核中拓扑量子化排列更为精细的涌现机制，为实验研究提供了定量的垫脚石。
英文摘要
We present the first quantitative microscopic realization of topologically quantized alignment in a finite nuclear system. The realization is obtained by exact diagonalization of a cranking seniority model, with the first Chern number evaluated over the sphere of cranking-axis orientations and analyzed together with the orientation-averaged alignment and cranking-frame configuration probabilities. The Chern number changes in integer steps as the system evolves from initially paired configurations to increasingly aligned configurations. A new intermediate phase is found in which the Chern number is already nonzero while the alignment continues to evolve toward its quantized value. We show that this deviation originates from the competition among pairing, axial quadrupole splitting, and Coriolis mixing. Thus, our microscopic approach reveals a more nuanced emergence of topologically quantized alignment in realistic nuclei, providing a quantitative stepping stone toward experimental investigations.
Comments6 pages,3 figures+6-page supplemental material, 3figures
