标题： 从头算铍同位素$^{7}$Be 至$^{12}$Be 的研究 显示英文标题

标题： Ab initio study of the beryllium isotopes $^{7}$Be to $^{12}$Be

摘要： 我们使用核格子有效场论并采用N3LO相互作用，系统地研究了从7Be到12Be铍同位素的低激发态。我们的计算在能量、半径和电磁性质方面与实验数据达到了很好的一致性。我们引入了一种新颖的、模型无关的方法来量化核形状，在同位素链中正宇称和负宇称态之间的相互作用中揭示出一种独特的模式。通过结合多体密度算符的蒙特卡洛采样与一种新颖的核子分组算法，显著的双中心团簇结构、单中子晕的出现以及复杂的核分子动力学（如{\pi }轨道和{\sigma }轨道）自然浮现出来。 显示英文摘要

摘要： We present a systematic ab initio study of the low-lying states in beryllium isotopes from 7Be to 12Be using nuclear lattice effective field theory with the N3LO interaction. Our calculations achieve good agreement with experimental data for energies, radii, and electromagnetic properties. We introduce a novel, model-independent method to quantify nuclear shapes, uncovering a distinct pattern in the interplay between positive and negative parity states across the isotopic chain. By combining Monte Carlo sampling of the many-body density operator with a novel nucleon-grouping algorithm, the prominent two-center cluster structures, the emergence of one-neutron halo, complex nuclear molecular dynamics such as {\pi} orbital and {\sigma} orbital, emerge naturally.