N=50$同素异形体在$π g_{9/2}$壳中的反常资历断裂的 Ab initio 计算

Q. Yuan, B. S. Hu
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引用次数: 0

摘要

我们进行了基于手性二核和三核相互作用的价空间中价相似归一化组(VS-IMSRG)计算,研究了中子数为$N=50$的同素异形体:$^{92}$Mo、$^{94}$Ru、$^{96}$Pd和$^{98}$Cd的反常资历破缺。我们的计算结果很好地再现了在这些原子核中测量到的低电平光谱和电磁$E2$跃迁,支持在第一个$pi g_{9/2}$壳中的部分高电平保留。最近的实验发现,与保持高级对称性下预测的对称模式相比,$^{94}$Ruis 中的$4^+_1\to2^+_1$ $E2$转变强度显著增强,而$^{96}$Pd 中的转变强度则受到抑制。相反,$6^+_1\to 4^+_1$ 和 $8^+_1\to6^+_1$的转变则表现出相反的趋势。我们发现这种反常的不对称性对微妙的资历断裂效应很敏感,为最先进的核子-核子相互作用和核模型提供了严格的检验。我们利用VS-IMSRG计算分析了各种价空间的反常不对称性。我们的研究结果表明,质子和中子跨越$Z=50$壳的核激发是在$N=50$同素异形体中观察到的异常资历断裂的原因。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Ab initio calculations of anomalous seniority breaking in the $π g_{9/2}$ shell for the $N=50$ isotones
We performed \textit{ab initio} valence-space in-medium similarity renormalization group (VS-IMSRG) calculations based on chiral two-nucleon and three-nucleon interactions to investigate the anomalous seniority breaking in the neutron number $N=50$ isotones: $^{92}$Mo, $^{94}$Ru, $^{96}$Pd, and $^{98}$Cd. Our calculations well reproduced the measured low-lying spectra and electromagnetic $E2$ transitions in these nuclei, supporting partial seniority conservation in the first $\pi g_{9/2}$ shell. Recent experiments have revealed that, compared to the symmetric patterns predicted under the conserved seniority symmetry, the $4^+_1\to2^+_1$ $E2$ transition strength in $^{94}$Ru is significantly enhanced and that in $^{96}$Pd is suppressed. In contrast, the $6^+_1\to 4^+_1$ and $8^+_1\to6^+_1$ transitions exhibit the opposite trend. We found that this anomalous asymmetry is sensitive to subtle seniority breaking effects, providing a stringent test for state-of-the-art nucleon-nucleon interactions and nuclear models. We analyzed the anomalous asymmetry using VS-IMSRG calculations across various valence spaces. Our \textit{ab initio} results suggest that core excitations of both proton and neutron across the $Z=50$ shell are ascribed to the observed anomalous seniority breaking in the $N=50$ isotones.
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