We discuss present attempts to employ the Modified Potential Cluster Model to describe the available experimental data on the 13B(n,γ0+1)14B total cross-sections. Estimative results on the M1 and E1 transitions from the n 13B scattering states to the ground and the first excited states of 14B are presented. The 1st resonance at Ex = 1. 275 MeV (1+) reveals both in cross-section and reaction rate. Within the variation of the asymptotic constant, the interval for the thermal cross-section of 5.1 – 8.9 mb is proposed.

Based on the theoretical total cross-sections at energies of 0.01 eV to 5 MeV, the reaction rate in the temperature range of 0.01 to 10T 9 is calculated. The ignition T 9 values of 13B(n,γ0+1)14B reaction depending on the neutron number density of ~ 1022 cm-3 are determined. 

The radiative neutron capture reaction rates on the boron 10-13B and carbon 12-14С isotopes are compared.

Within the framework of the modified potential cluster model with forbidden states, the total cross-sections of radiative n 9Be capture to the ground and five low-lying excited states are calculated at energies from 10-2 eV up to 5 MeV. The thermal cross-section σ th = 8.35 mb is in good agreement with experimental data. We included in the consideration five resonances at the excitation energy Ex from 7.371 MeV up to 10.570 MeV and corresponding to the following states with J π (Ex , MeV): 3- (7.371), 2+ (7.542), 3+ (9.4), 2+ (9.56), and 3- (10.570). The partial and total 9Be(n,γ0+1+2+3+4+5)10Be reaction rates are calculated at temperatures from 0.001 to 10 T 9. Contrary to the available data, we propose the rising of reaction rate near factor five at T 9 >1 is mainly due to the first 3- (0.559 MeV) resonance. We foresee this contrast is coming from the different model approaches.