We develop the variational and correlated basis functions/parquet-diagram theory of strongly interacting normal and superfluid systems. The first part of this contribution is devoted to highlight the connections between the Euler equations for the Jastrow-Feenberg wave function on the one hand side, and the ring, ladder, and self-energy diagrams of parquet-diagram theory on the other side. We will show that these subsets of Feynman diagrams are contained, in a local approximation, in the variational wave function. In the second part of this work, we derive the fully optimized Fermi-Hypernetted Chain (FHNC-EL) equations for a superfluid system. Close examination of the procedure reveals that the naive application of these equations exhibits spurious unphysical properties for even an infinitesimal superfluid gap. We will conclude that it is essential to go {\em beyond\/} the usual Jastrow-Feenberg approximation and to include the exact particle-hole propagator to guarantee a physically meaningful theory and the correct stability range. We will then implement this method and apply it to neutron matter and low density Fermi liquids interacting via the Lennard-Jones model interaction and the Poschl-Teller interaction. While the quantitative changes in the magnitude of the superfluid gap are relatively small, we see a significant difference between applications for neutron matter and the Lennard-Jones and Poschl-Teller systems. Despite the fact that the gap in neutron matter can be as large as half the Fermi energy, the corrections to the gap are relatively small. In the Lennard-Jones and Poschl-Teller models, the most visible consequence of the self-consistent calculation is the change in stability range of the system.

中文翻译：

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强相关正常和超流体系统的变分和拼花图理论

我们开发了强相互作用的正常和超流体系统的变分和相关基函数/镶木地板图理论。该贡献的第一部分致力于强调一方面是 Jastrow-Feenberg 波函数的欧拉方程与另一方面的镶木地板图理论的环图、梯形图和自能图之间的联系。我们将证明这些费曼图的子集包含在局部近似中，包含在变分波函数中。在这项工作的第二部分，我们推导出了超流体系统的完全优化的费米超网链 (FHNC-EL) 方程。仔细检查该过程表明，即使是极小的超流体间隙，这些方程的简单应用也表现出虚假的非物理特性。我们将得出结论，必须{\em 超越\/}通常的 Jastrow-Feenberg 近似并包括精确的粒子-空穴传播器，以保证具有物理意义的理论和正确的稳定性范围。然后，我们将实施此方法并将其应用于通过 Lennard-Jones 模型相互作用和 Poschl-Teller 相互作用相互作用的中子物质和低密度费米液体。虽然超流体间隙大小的数量变化相对较小，但我们看到中子物质的应用与 Lennard-Jones 和 Poschl-Teller 系统之间的显着差异。尽管中子物质的间隙可以大到费米能量的一半，但对间隙的修正相对较小。在 Lennard-Jones 和 Poschl-Teller 模型中，