Incorporating Brueckner-Hartree-Fock correlations in energy density functionals
Incorporating Brueckner-Hartree-Fock correlations in energy density functionals
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DOI：
10.1103/physrevc.98.064306
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发表时间：
2018-07
影响因子：
3.1
通讯作者：
Y. Zhang;S. Bogner;R. Furnstahl
中科院分区：
文献类型：
--
作者：
Y. Zhang;S. Bogner;R. Furnstahl
最近，通过将密度矩阵展开应用于从长程手征有效场理论中得到的两核子和三核子相互作用的Hartree-Fock(HF)能量，得到了微观激励的核能量密度泛函。然而，HF方法不能解释所有的多体关联。Brueckner-Hartree-Fock(BHF)理论包含了一类关联，它通过用反应矩阵$G来代替相互作用，改进了一体HF势的定义。在本文中，我们发现用一系列截断的接触项可以很好地解释G-矩阵和核子-核子势之间的差异。这与近距离物理积分时产生一系列反项的重整化群去耦合是一致的。在不同的重整化群分辨率和密度范围内，考察了两个势的反项的级数展开式的系数C{n}$。这种展开式的成功意味着我们可以在HF水平上用低动量相互作用和依赖于密度的零程相互作用的密度矩阵展开来模拟BHF关联。
Recently, a microscopically motivated nuclear energy density functional was derived by applying the density matrix expansion to the Hartree-Fock (HF) energy obtained from long-range chiral effective field theory two- and three-nucleon interactions. However, the HF approach cannot account for all many-body correlations. One class of correlations is included by Brueckner-Hartree-Fock (BHF) theory, which gives an improved definition of the one-body HF potential by replacing the interaction by a reaction matrix $G$. In this paper, we find that the difference between the $G$-matrix and the nucleon-nucleon potential $V_{\mathrm{NN}}$ can be well accounted for by a truncated series of contact terms. This is consistent with renormalization group decoupling generating a series of counterterms as short-distance physics is integrated out. The coefficients $C_{n}$ of the power series expansion $\sum C_{n}q^{n}$ for the counterterms are examined for two potentials at different renormalization group resolutions and at a range of densities. The success of this expansion for $G-V_{\mathrm{NN}}$ means we can apply the density matrix expansion at the HF level with low-momentum interactions and density-dependent zero-range interactions to model BHF correlations.