原子核中μ→e转换的重叠积分从头计算
Ab initio calculations of overlap integrals for $μ\to e$ conversion in nuclei
AI总结：
针对原子核μ→e转换分析中核响应函数不确定性问题，结合从头计算与改进的电子散射电荷分布测定，给出特定核素的重叠积分及协方差矩阵，首次实现实验解释中核结构不确定性的全面考虑。
摘要：
原子核中μ→e转换的速率被设定为检验轻子味对称性最严格的手段，也是探索标准模型之外物理的窗口。然而，为了结合μ→eγ和μ→3e的信息分离新的轻子味破缺相互作用，控制并全面量化分析各步骤的不确定性至关重要。在这方面，与中子耦合相关的核响应函数问题突出，因为它们不受实验直接约束。我们通过利用电荷、点质子和点中子半径及密度之间的强关联，将从头计算与最近改进的电子散射电荷分布测定相结合，解决了这些不足。我们给出了²⁷Al、⁴⁸Ca和⁴⁸Ti的重叠积分（含完整协方差矩阵），首次允许在μ→e实验解释中全面考虑核结构不确定性。
英文摘要：
The rate for $μ\to e$ conversion in nuclei is set to provide the most stringent test of lepton-flavor symmetry and a window into physics beyond the Standard Model. However, to disentangle new lepton-flavor-violating interactions, in combination with information from $μ\to eγ$ and $μ\to 3e$, it is critical that uncertainties at each step of the analysis be controlled and fully quantified. In this regard, nuclear response functions related to the coupling to neutrons are notoriously problematic, since they are not directly constrained by experiment. We address these shortcomings by combining ab initio calculations with a recently improved determination of charge distributions from electron scattering by exploiting strong correlations among charge, point-proton, and point-neutron radii and densities. We present overlap integrals for $^{27}$Al, $^{48}$Ca, and $^{48}$Ti including full covariance matrices, allowing, for the first time, for a comprehensive consideration of nuclear structure uncertainties in the interpretation of $μ\to e$ experiments.
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