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arXiv 2006.15142nucl-th
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$^{129}$ Hg和$^{199}$ Hg核Schiff矩的大尺度壳模型计算

Large-scale shell-model calculations of nuclear Schiff moments of $^{129}$Xe and $^{199}$Hg

Kota Yanase, Noritaka Shimizu

摘要:

核Schiff矩的理论不确定性是从原子电偶极矩的实验上界对标准模型之外的$ CP $破坏进行约束的一个障碍。我们进行大规模的壳模型计算的$^{129}$汞和$^{199}$汞核与现实的有效相互作用。为了微扰地估计$ P $、$ T $ -奇$ πNN $相互作用引起的Schiff矩,我们对中间态采用单粒子单空穴近似.从独立粒子模型的评估,$^{199}$的Schiff矩减少,由于$ \sim 10 \% $的组态混合。另一方面,减少是更显着的平均场为基础的计算和壳模型计算与急剧截断。为了解决$^{199}$ Hg的Schiff矩在几种核模型中的差异,我们对低能核结构进行了研究。大尺度壳模型计算结果表明,$^{199}$ Hg的Schiff矩在第二态$ \frac{ 1 }{ 2 }^- $中明显猝灭.

英文摘要:

The theoretical uncertainty in the nuclear Schiff moment is an obstacle to set constraints on $ CP $ violation beyond the standard model from experimental upper bounds on atomic electric dipole moments. We perform large-scale shell-model calculations of the $^{129}$Xe and $^{199}$Hg nuclei with realistic effective interactions. To estimate the Schiff moments caused by the $ P $, $ T $-odd $ πNN $ interaction perturbatively, we employ the one-particle one-hole approximation to the intermediate states. The Schiff moments of $^{129}$Xe and $^{199}$Hg are reduced due to the configuration mixing by $ \sim 10 \% $ from the evaluation of the independent particle model. On the other hand, the reduction is more significant in mean-field based calculations and shell-model calculations with a drastic truncation. In order to resolve the discrepancy in the Schiff moment of $^{199}$Hg among several nuclear models, we survey low-energy nuclear structure. The large-scale shell-model calculations reveal that the Schiff moment of $^{199}$Hg is considerably quenched in the second $ \frac{ 1 }{ 2 }^- $ state.

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