It has recently been suggested that differences in the charge radii of mirror nuclei (ΔRchmirr) are strongly correlated with the neutron-skin thickness (Rskin) of neutron-rich nuclei and with the slope of the symmetry energy (L). To test this assumption, we present ab initio calculations of Rskin in 48Ca and 208Pb, ΔRchmirr in 36Ca−36S, 38Ca−38Ar, 41Sc−41Ca, 48Ni−48Ca, 52Ni−52Cr, and 54Ni−54Fe mirror pairs, and L. Employing the recently developed 34 chiral interaction samples, identified by the history matching approach, we conduct rigorous statistical analysis of correlations among ΔRchmirr, Rskin and L, accounting for quantified uncertainties from low-energy constants of chiral interaction, chiral effective field theory truncation and many-body method approximation. The ab initio results reveal an appreciable ΔRchmirr−L correlation in fp-shell mirror pairs. However, contrary to previous studies, the present calculation finds that the studied sd-shell mirror pairs do not exhibit any ΔRchmirr−L correlation.

中文翻译：

---

镜像电荷半径如何限制对称能的密度依赖性？


最近有人提出，镜像核电荷半径的差异（ΔRchmirr）与富中子核的中子皮厚度（Rskin）以及对称能（L）的斜率密切相关。为了测试这个假设，我们提出了 48Ca 和 208Pb 中的 Rskin、36Ca−36S、38Ca−38Ar、41Sc−41Ca、48Ni−48Ca、52Ni−52Cr 和 54Ni−54Fe 镜对中的 ΔRchmirr 以及 L 的从头计算。最近开发的 34 个手性相互作用样本，通过历史匹配方法识别，我们对 ΔRchmirr、Rskin 和 L 之间的相关性进行了严格的统计分析，解释了手性相互作用的低能常数、手性有效场论截断和许多因素带来的量化不确定性。体法近似。从头计算的结果揭示了 fp 壳镜对中明显的 ΔRchmirr−L 相关性。然而，与之前的研究相反，本计算发现所研究的 sd 壳镜对没有表现出任何 ΔRchmirr−L 相关性。