We present a family of nucleon-nucleon (NN) plus three-nucleon (3N) interactions up to N3LO in the chiral expansion that provides an accurate ab initio description of ground-state energies and charge radii up to the medium-mass regime with quantified theory uncertainties. Starting from the NN interactions proposed by Entem, Machleidt and Nosyk, we construct 3N interactions with consistent chiral order, non-local regulator, and cutoff value and explore the dependence of nuclear observables over a range of mass numbers on the 3N low-energy constants. By fixing these constants using the 3-H and 16-O ground-state energies, we obtain interactions that robustly reproduce experimental energies and radii for large range from p-shell nuclei to the nickel isotopic chain and resolve many of the deficiencies of previous interactions. Based on the order-by-order convergence and the cutoff dependence of nuclear observables, we assess the uncertainties due the interaction, which yield a significant contribution to the total theory uncertainty.

中文翻译：

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用于精确核结构研究的手性二加三核子相互作用家族

我们在手性扩展中提出了一系列核子 - 核子 (NN) 加上三核子 (3N) 相互作用直至 N3LO，它提供了基态能量和电荷半径的准确 ab initio 描述，直至中等质量区域，并具有量化的理论的不确定性。从 Entem、Machleidt 和 Nosyk 提出的 NN 相互作用开始，我们构建了具有一致手性顺序、非局部调节器和截止值的 3N 相互作用，并探索了一系列质量数上的核可观测值对 3N 低能常数的依赖性. 通过使用 3-H 和 16-O 基态能量固定这些常数，我们获得了从 p 壳核到镍同位素链的大范围内稳健地重现实验能量和半径的相互作用，并解决了以前相互作用的许多缺陷.