AI 中文总结
该研究在核晶格有效场理论框架下，对轻核和铝同位素磁偶极矩进行系统计算，采用特定手征相互作用和电磁流，结合新算法评估不确定性，结果与实验吻合，为电弱可观测量的从头算研究奠定基础。
AI 中文摘要
核磁矩是核结构的敏感探针，但对其进行精确的定量描述面临重大挑战。本文首次在核晶格有效场理论（NLEFT）框架内，对选定的轻核和铝同位素的磁偶极矩进行系统计算。计算采用晶格次次次领头阶（N$^3$LO）手征相互作用及一致推导至两体水平的电磁流。通过纳入新算法并全面评估算法不确定性实现可控预测。结果在估计不确定性内与实验总体吻合良好，表明两体电流对重现观测磁矩至关重要。还与其他轻核的从头算计算进行了基准测试。此工作为利用能有效扩展到中重核的方法进行电弱可观测量的从头算研究奠定了坚实基础。
英文摘要
Nuclear magnetic moments are sensitive probes of nuclear structure. However, their accurate quantitative description poses significant challenges, demanding both accurate nuclear and electromagnetic interactions as well as rigorous control of algorithmic uncertainties. Here, we present the first systematic calculation of magnetic dipole moments for selected light nuclei and aluminum isotopes within nuclear lattice effective field theory (NLEFT), an \textit{ab initio} framework applicable to medium-mass and heavy nuclei. Our calculations employ a lattice next-to-next-to-next-to-leading-order (N$^3$LO) chiral interaction together with electromagnetic currents consistently derived up to the two-body level. To achieve controlled predictions, we incorporate recently developed NLEFT algorithms and perform a comprehensive assessment of algorithmic uncertainties. Within the estimated uncertainties, our results are in good overall agreement with experiment and demonstrate that two-body currents are essential for reproducing the observed magnetic moments. We further benchmark our predictions against other \textit{ab initio} calculations for light nuclei ($A\leq12$). Our work establishes a solid foundation for \textit{ab initio} studies of electroweak observables using methods that scale efficiently to medium-mass and heavy nuclei while demonstrating state-of-the-art accuracy.
