全阶多体方法的收敛性：Li的耦合团簇研究
Convergence of all-order many-body methods: coupled-cluster study for Li
摘要：
我们给出并分析了Li原子$2s$、$2p_{1/2}$和$2p_{3/2}$态的能量、超精细常数和偶极矩阵元的相对论耦合簇计算结果。计算是完整的，通过第四阶的多体微扰理论的能量和通过第五阶的矩阵元素和submergent-certain链的图表在所有订单。一个几乎完整的多体计算使我们能够得出结论的耦合集群方法的收敛模式。我们的分析表明，高阶多体贡献的能量和矩阵元素的比例，并提供了一个定量的基础半经验拟合的{ \em ab inito}矩阵元素的实验能量。
英文摘要：
We present and analyze results of the relativistic coupled-cluster calculation of energies, hyperfine constants, and dipole matrix elements for the $2s$, $2p_{1/2}$, and $2p_{3/2}$ states of Li atom. The calculations are complete through the fourth order of many-body perturbation theory for energies and through the fifth order for matrix elements and subsume certain chains of diagrams in all orders. A nearly complete many-body calculation allows us to draw conclusions on the convergence pattern of the coupled-cluster method. Our analysis suggests that the high-order many-body contributions to energies and matrix elements scale proportionally and provides a quantitative ground for semi-empirical fits of {\em ab inito} matrix elements to experimental energies.
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