Comparing different density-matrix expansions for long-range pion exchange

Comparing different density-matrix expansions for long-range pion exchange
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比较长程π介子交换的不同密度矩阵展开式

DOI:
10.1103/physrevc.103.014325
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发表时间:
2021
期刊:
影响因子:
3.1
通讯作者:
Schwenk, A.
Schwenk, A.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Zurek, L.;Coello Pérez, E. A.;Bogner, S. K.;Furnstahl, R. J.;Schwenk, A.

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经验能量密度泛函(EDF)通常可以成功地描述整个核素表的核性质。但它们的局限性促使我们使用密度矩阵展开(DME)将长程π介子相互作用嵌入Skyrme泛函。最近关于π介子影响的结果既令人鼓舞又令人困惑,需要仔细重新检查DME的实施。在这里,我们采取的第一步,集中在二体标量项的DME。交换能量与远程一π贡献很好地近似所有DME的实现考虑,与优先的变种,不截断在两个衍生物在每个EDF条款。因此,使用DME的手性π介子的贡献是支持这项调查。对于标量-等矢量能量,重要的是要分别处理中子和质子。结果被发现适用于广泛的条件下,虽然自我一致性尚未测试。
Empirical energy density functionals (EDFs) are generally successful in describing nuclear properties across the table of nuclides. But their limitations motivate using the density-matrix expansion (DME) to embed long-range pion interactions into a Skyrme functional. Recent results on the impact of the pion were both encouraging and puzzling, necessitating a careful re-examination of the DME implementation. Here we take the first steps, focusing on two-body scalar terms in the DME. Exchange energies with long-range one-pion contributions are well approximated by all DME implementations considered, with preference for variants that do not truncate at two derivatives in every EDF term. The use of the DME for chiral pion contributions is therefore supported by this investigation. For scalar-isovector energies it is important to treat neutrons and protons separately. The results are found to apply under broad conditions, although self-consistency is not yet tested.
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