Reaction rate weighted multilayer nuclear reaction network

Abstract

Nuclear reaction rate ($\lambda$) is a significant factor in the process of nucleosynthesis. A multi-layer directed-weighted nuclear reaction network in which the reaction rate as the weight, and neutron, proton, ${}^4$He and the remainder nuclei as the criterion for different reaction-layers is for the first time built based on all thermonuclear reactions in the JINA REACLIB database. Our results show that with the increase of the stellar temperature ($T_9$), the distribution of nuclear reaction rates on the $R$-layer network demonstrates a transition from unimodal to bimodal distributions. Nuclei on the $R$-layer in the region of $\lambda =[1,2.5\times 10^1]$ have a more complicated out-going degree distribution than the one in the region of $\lambda =[10^{11},10^{13}]$, and the number of involved nuclei at $T_9=1$ is very different from the one at $T_9=3$. The redundant nuclei in the region of $\lambda =[1,2.5\times 10^1]$ at $T_9=3$ prefer $(\gamma ,p)$ and $(\gamma ,\alpha )$ reactions to the ones at $T_9=1$, which produce nuclei around the $\beta$ stable line. This work offers a novel way to the big-data analysis on nuclear reaction network at stellar temperatures.

arXiv comment6 pages, 4 figures, 2 tables

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