论文标题
OMR-NPA：核子对近似的优化矩阵表示
OMR-NPA: Optimized Matrix Representation of Nucleon Pair Approximation
论文作者
论文摘要
我们优化了核壳模型的核子对近似（NPA）的基质表示。 NPA是核壳模型的广泛采用的截断方法，事实证明在描述中等重型和重核的低洼态。由于简化（但灵活的）换向器以及对角动量耦合的绝对消除，矩阵表示为$ M $ -Scheme NPA提供了一种形式主义，据我们所知，比其他人更有效。它还可以实现可行的组织和存储设计，以实现中间结果，包括生成的集体对，矩阵产品和基质痕迹，从而通过减少重复的矩阵操作来实现进一步的优化，这是矩阵中最耗时的过程中最耗时的过程。我们还描述了针对$ M $ -Scheme NPA指定的优化，通过调用wigner-eckart定理，时间反转对称性和球形张量的共轭操作来实现。我们的优化使矩阵表示和NPA的结合更加有利可图。 NPA（OMR-NPA）的优化矩阵表示表示的实现是用开源发布的。对其性能进行了分析并与未优化的NPA代码进行了比较。
We optimize the matrix representation of the nucleon-pair approximation (NPA) of the nuclear shell model. The NPA is a widely adopted truncation approach of the nuclear shell model and proves to be effective in describing low-lying states of medium-heavy and heavy nuclei. Due to simplified (yet flexible) commutators and absolute elimination of angular momentum coupling, the matrix representation provides a formalism for the $M$-scheme NPA more efficient than others as far as we know. It also enables the practicable organization and storage design for intermediate results, including generated collective pairs, matrix products, and matrix traces, so that further optimization is achieved by reducing repetitive matrix operations, which are the most time-consuming procedures in the matrix-represented $M$-scheme NPA. We also describe optimizations specified for the $M$-scheme NPA, realized by invoking the Wigner-Eckart theorem, time-reversal symmetry, and conjugate operation of spherical tensors. Our optimization makes the combination of matrix representation and NPA more profitable. Such an implementation denoted by optimized matrix representation of NPA (OMR-NPA) is publicly released with open source. Its performance is analyzed and compared against unoptimized NPA codes.
