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arXiv physics/0703121physics.atom-ph
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开壳层原子的核价关联

Core-valence correlations for atoms with open shells

V. A. Dzuba, V. V. Flambaum

摘要:

我们提出了一种有效的方法,包括核心价相关的组态相互作用(CI)的计算。这些关联发生在核心区域,在那里外部电子的电势近似恒定。恒定的电势不改变核心电子的波函数和格林函数。因此,描述$M$价电子和$N-M$核心电子的相互作用的所有算子(Hartree-Fock哈密顿量$V^{N-M}$的核心部分、相关势$\hatΣ_1({\bf r},{\bf r'},E)$和核心电子对价电子之间的相互作用的屏蔽$\hatΣ_2$)可以在去除所有$M$价电子的情况下计算。这使得人们可以避免减法图,这使得精确包含$M>2$的核心价相关性非常复杂。然后使用完全$V^{N}$势(由所有电子产生的平均场)中的轨道计算$M$价电子的CI哈密顿量;将$\hatΣ_1$ + $\hatΣ_2$添加到CI哈密顿量以说明核价关联。我们计算$\hatΣ_1$和$\hatΣ_2$使用多体微扰理论,其中占主导地位的类图包括在所有的订单。我们使用中性的H2O I和所有的正离子,直到H2O VIII作为试验场。我们发现,所有这些系统的核心电子密度实际上是相同的。因此,我们使用相同的$\hatΣ_1$和$\hatΣ_2$来构建所有这些系统($M=1,2,3,4,5,6,7,8$)中的CI哈密顿量。与实验的能量水平和Landé因子的良好协议被证明为所有的情况下,从1991年至1998年。

英文摘要:

We present an efficient method of inclusion of the core-valence correlations into the configuration interaction (CI) calculations. These correlations take place in the core area where the potential of external electrons is approximately constant. A constant potential does not change the core electron wave functions and Green's functions. Therefore, all operators describing interaction of $M$ valence electrons and $N-M$ core electrons (the core part of the Hartree-Fock Hamiltonian $V^{N-M}$, the correlation potential $\hatΣ_1({\bf r},{\bf r'},E)$ and the screening of interaction between valence electrons by the core electrons $\hatΣ_2$) may be calculated with all $M$ valence electrons removed. This allows one to avoid subtraction diagrams which make accurate inclusion of the core-valence correlations for $M>2$ prohibitively complicated. Then the CI Hamiltonian for $M$ valence electrons is calculated using orbitals in complete $V^{N}$ potential (the mean field produced by all electrons); $\hatΣ_1$ + $\hatΣ_2$ are added to the CI Hamiltonian to account for the core-valence correlations. We calculate $\hatΣ_1$ and $\hatΣ_2$ using many-body perturbation theory in which dominating classes of diagrams are included in all orders. We use neutral Xe I and all positive ions up to Xe VIII as a testing ground. We found that the core electron density for all these systems is practically the same. Therefore, we use the same $\hatΣ_1$ and $\hatΣ_2$ to build the CI Hamiltonian in all these systems ($M=1,2,3,4,5,6,7,8$). Good agreement with experiment for energy levels and Landé factors is demonstrated for all cases from Xe I to Xe VIII.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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