Nucleosynthesis is a complex process in astro-nuclear evolution. In this work, we constructed a directed, multi-layer, nuclear reaction network, using the substrate-product method from a thermonuclear reaction database, JINA REACLIB. The network contained four layers, namely n-, p-, h- and r-, which correspond to the types of reactions involved in neutrons, protons, ⁴He and the remaining atomic particles, respectively. The degree values (i.e. numbers of reactions), for three layers of n-, p-, and h-, have a significant correlation with one another, and their topological structures exhibit a similar regularity. However, the r-layer has a more complex topological structure compared to the other layers; thus, its correlation of degree values with the other three layers is not as strong as that seen in the other layers. To analyze the motif structure of the nuclear reaction network, we used the software package “mfinder”. We identified the most frequent reaction patterns of the interconnections that occurred amongst the different nuclides. This work provides a novel approach to investigating the nuclear reaction network that prevails in the astrophysical context.

中文翻译：

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核景观中热核反应的网络结构

核合成是星形核进化中的一个复杂过程。在这项工作中，我们使用来自热核反应数据库JINA REACLIB的底物-产物方法构建了定向的多层核反应网络。该网络包含四层，即n-，p-，h-和r-，分别对应于中子，质子，⁴ He和其余原子粒子所涉及的反应类型。对于三层n-，p-和h-而言，度值（即反应数）彼此之间具有显着的相关性，并且它们的拓扑结构表现出相似的规律性。然而与其他层相比，r层具有更复杂的拓扑结构；因此，其与其他三层的度值相关性不如在其他层中看到的强。为了分析核反应网络的基序结构，我们使用了软件包“ mfinder”。我们确定了在不同核素之间发生的最频繁的互连反应模式。这项工作提供了一种研究天文学背景下普遍存在的核反应网络的新颖方法。