We have recently proposed a density functional scheme for calculating theground-state pair density (PD) within the Jastrow wave function PDs of thelowest-order (LO-Jastrow PDs) [M. Higuchi and K. Higuchi, Phys. Rev. A\textbf{75}, 042510 (2007)]. However, there remained an arguable problem on the$N$-representability of the LO-Jastrow PD. In this paper, the sufficientconditions for the $N$-representability of the LO-Jastrow PD are derived. Theseconditions are used as the constraints on the correlation function of theJastrow wave function. A concrete procedure to search the suitable correlationfunction is also presented.
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机译：最近，我们提出了一种密度泛函方案，用于计算最低阶（LO-Jastrow PD）的Jastrow波函数PD中的基态对密度（PD）[M. Higuchi和K. Higuchi，物理学。修订版A \ textbf {75}，042510（2007）]。但是，关于LO-Jastrow PD的$ N $可表示性仍然存在争议。本文推导了LO-Jastrow PD的$ N $可表示性的充分条件。这些条件被用作对贾斯特罗波函数的相关函数的约束。还提出了搜索合适的相关函数的具体过程。
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