N $^2$ LO手性EFT三核子相互作用Hartree-Fock能量的符号计算
Symbolic computation of the Hartree-Fock energy from a chiral EFT three-nucleon interaction at N$^2$LO
摘要：
我们提出了第一个两部分的Mathematica笔记本收集，实现了一个象征性的方法的应用程序的密度矩阵展开（DME）的Hartree-Fock（HF）能量从手征有效场论（EFT）的三核子相互作用在N $^2$ LO。从笔记本电脑的最终输出是一个Skyrme一样的能量密度功能，提供了一个准本地近似的非本地HF能量。本文讨论了用单体密度矩阵的标量/矢量-等距/等矢量部分推导HF能量及其简化。此外，一组的步骤进行了描述和说明如何扩展到其他三核子相互作用的方法。
英文摘要：
We present the first of a two-part Mathematica notebook collection that implements a symbolic approach for the application of the density matrix expansion (DME) to the Hartree-Fock (HF) energy from a chiral effective field theory (EFT) three-nucleon interaction at N$^2$LO. The final output from the notebooks is a Skyrme-like energy density functional that provides a quasi-local approximation to the nonlocal HF energy. In this paper, we discuss the derivation of the HF energy and its simplification in terms of the scalar/vector-isoscalar/isovector parts of the one-body density matrix. Furthermore, a set of steps is described and illustrated on how to extend the approach to other three-nucleon interactions.
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。
