Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces

Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
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手性三核子力的密度依赖性有效核子-核子相互作用

DOI:
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发表时间:
2009
期刊:
影响因子:
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通讯作者:
W. Weise
W. Weise
中科院分区:
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文献类型:
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作者:
J. Holt;N. Kaiser;W. Weise

文献摘要

被引文献

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从首阶手征三核子力出发,导出了介质中核子-核子相互作用的密度相关修正。为了达到这个顺序,有六个不同的单圈图有助于在介质中的核子-核子散射T矩阵。解析表达式中的每一个都在同位旋对称的核物质,以及与一个小的同位旋不对称性的核物质。结果与低动量核子-核子势V(low-k)相结合,得到了一个适用于核结构计算的有效的密度相关相互作用。介质中的相互作用被分解成分波轨道角动量L = 2。我们的结果应该是特别有用的计算中的手征三核子力的精确治疗,否则将计算禁止。
We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force. To this order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon scattering T-matrix. Analytic expressions are presented for each of these in both isospin-symmetric nuclear matter as well as nuclear matter with a small isospin asymmetry. The results are combined with the low-momentum nucleon-nucleon potential V(low-k) to obtain an effective density-dependent interaction suitable for nuclear structure calculations. The in-medium interaction is decomposed into partial waves up to orbital angular momentum L = 2. Our results should be particularly useful in calculations where an exact treatment of the chiral three-nucleon force would otherwise be computationally prohibitive.