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arXiv 0906.1463nucl-thcond-mat.otherhep-ph
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原子核的从头计算密度泛函理论

Toward ab initio density functional theory for nuclei

J. E. Drut, R. J. Furnstahl, L. Platter

摘要:

本文以库仑体系从头算密度泛函理论的进展为指导,综述了原子核非相对论性密度泛函理论的研究进展。从头算DFT从微观哈密顿量开始,并使用基于轨道的泛函自然地制定,这推广了传统的局部密度加梯度形式。轨道满足具有乘性(局部)势的单粒子方程。DFT泛函可以从核子间相互作用力出发,利用波函数的方法或通过有效作用量的勒让德变换得到。我们描述了已知的和未解决的问题,将这些配方的核多体问题,并讨论如何从头算方法可以帮助提高经验能量密度泛函。

英文摘要:

We survey approaches to nonrelativistic density functional theory (DFT) for nuclei using progress toward ab initio DFT for Coulomb systems as a guide. Ab initio DFT starts with a microscopic Hamiltonian and is naturally formulated using orbital-based functionals, which generalize the conventional local-density-plus-gradients form. The orbitals satisfy single-particle equations with multiplicative (local) potentials. The DFT functionals can be developed starting from internucleon forces using wave-function based methods or by Legendre transform via effective actions. We describe known and unresolved issues for applying these formulations to the nuclear many-body problem and discuss how ab initio approaches can help improve empirical energy density functionals.

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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