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和N$^3$LO相互作用，系统地研究了从$^7\text{Be}$到$^{12}\text{Be}$锂铍同位素的低激发态\textit{从头开始}。我们的计算结果在能量、半径和电磁性质方面与实验数据非常吻合。 我们引入了一种新颖的、无模型依赖的方法来量化核形状，揭示了同位素链中正宇称和负宇称态之间相互作用的独特模式。 我们的几何分析揭示了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，强调了铍同位素固有的强聚类特性。 显示英文摘要

摘要： We present a systematic \textit{ab initio} study of the low-lying states in beryllium isotopes from $^7\text{Be}$ to $^{12}\text{Be}$ using nuclear lattice effective field theory with the N$^3$LO interaction. Our calculations achieve excellent 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. Our geometrical analysis reveals prominent two-center cluster structures, the emergence of one-neutron halo, and complex nuclear molecular dynamics, underscoring the strong clustering features inherent to beryllium isotopes.