The total cross sections of the neutron radiative capture on ¹²B at astrophysical energies to the ground state of ¹³B, have been calculated in the energy range of 10⁻⁸ to 10 MeV within the framework of a modified potential cluster model with the classification of orbital states according to Young diagrams. Reaction rates in the temperature range of 0.01 to 10 $T_{9,}$ and their analytical parameterizations were obtained. The calculated rates of ¹²B($n,\gamma$)¹³B excess the previous results obtained by other approaches by approximately to one order of magnitude. Cross sections and reaction rates of ¹²C($n,{\gamma }_{0+1+2+3}$)¹³C are calculated and compared to the $n^{10}$B, $n^{11}$B, $n^{12}$B, and $p^{12}$C reaction rates. It is proposed that the obtained rates of the ¹²B($n,\gamma$)¹³B reaction may be suggested for the discussion of novel scenarios of stable isotope ¹³C synthesis when p-captures on ¹²C are not present.

在修正的势能簇模型的框架内，在10 ^-8至10 MeV的能量范围内，以10 ^-8至10 MeV的能量范围计算了在天体物理能量下¹³ B处于天体能量时¹² B上中子辐射俘获的总截面。根据杨氏图的轨道状态。反应速率在0.01到10的温度范围内${Ť}_{9，}$并获得了其分析参数化。计算出的¹² B（$ñ，\gamma$）¹³ B比其他方法获得的先前结果大约高一个数量级。截面和反应速率为¹² C（$ñ，{\gamma }_{0+\mathrm{1个}+\mathrm{2个}+3}$）计算出¹³ C并与${ñ}^{10}$B， ${ñ}^{11}$B， ${ñ}^{12}$乐队 $p^{12}$C反应速率。建议获得的¹² B（$ñ，\gamma$）¹³乙反应可建议的讨论新型稳定同位素的场景¹³ C综合当在p捕获¹² C是不存在。