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arXiv 0910.3650nucl-th
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用于原子核结构计算的Pade-Schummed高阶微扰理论

Pade-resummed high-order perturbation theory for nuclear structure calculations

Robert Roth, Joachim Langhammer

摘要:

本文应用高阶多体微扰理论,利用真实的核相互作用计算了闭壳层核的基态能量。使用一个简单的递归公式,我们计算的微扰能量的贡献高达30阶,并比较精确的无核壳模型计算相同的模型空间和哈密顿量。一般情况下,这个扰动级数的有限部分和不显示出随着阶的增加而收敛,但往往指数发散。尽管如此,通过一个简单的再确认通过帕德近似,它是可能的提取快速收敛和高精度的结果的基态能量。

英文摘要:

We apply high-order many-body perturbation theory for the calculation of ground-state energies of closed-shell nuclei using realistic nuclear interactions. Using a simple recursive formulation, we compute the perturbative energy contributions up to 30th order and compare to exact no-core shell model calculations for the same model space and Hamiltonian. Generally, finite partial sums of this perturbation series do not show convergence with increasing order, but tend to diverge exponentially. Nevertheless, through a simple resummation via Pade approximants it is possible to extract rapidly converging and highly accurate results for the ground state energy.

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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