Radiative capture $p + {}^{13}\mathrm{C}\rightarrow {}^{14}\mathrm{N}+\gamma $ at energies bearing astrophysical consequences is one of the important processes in the CNO cycle. We focus on the possibility of describing the main contribution to the total cross section of the radiative capture process in the framework of the single-particle potential model without separation into direct and resonant transitions. In case where the single-particle potential model fails to describe other partial components, we use the R-matrix approach. The partial components of the astrophysical S-factor are calculated for all possible electric dipole transitions. The calculated value of the total S-factor at zero energy is in good agreement with earlier reported values. Based on the value of total astrophysical S-factor depending on the collision energy, we calculate the nuclear reaction rates for ${p} + {^{13}\mathrm{C}} \rightarrow {^{14}\mathrm{{N}}}+\gamma $.

中文翻译：

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$^{13}\mbox{C}$ 在低能量下对质子的辐射捕获

在具有天体物理学后果的能量下的辐射捕获 $p + {}^{13}\mathrm{C}\rightarrow {}^{14}\mathrm{N}+\gamma $ 是 CNO 循环中的重要过程之一。我们专注于描述在单粒子势模型框架中对辐射捕获过程的总横截面的主要贡献的可能性，而无需分离为直接和共振跃迁。如果单粒子势模型无法描述其他部分组件，我们使用 R 矩阵方法。天体物理 S 因子的部分分量是针对所有可能的电偶极子跃迁计算的。零能量下总 S 因子的计算值与早先报告的值非常吻合。基于取决于碰撞能量的总天体物理 S 因子的值，