The reactions 2 H(n,γ) 3 H, 2 H(p,γ) 3 He are of significant interest both for nuclear astrophysics and in the field of controlled thermonuclear fusion. This is due to the fact that they can proceed intensively at sufficiently low temperatures, since the first one has a minimum Coulomb barrier, while the second one has no Coulomb barrier at all.Therefore, in the presented work we have studied reaction rates of the neutron and proton capture reactions 2 H(n,γ) 3 H, 2 H(p,γ) 3 He, within the framework of the modified potential cluster model with allowed and forbidden states which follow from the classification orbital states of the clusters according to the Young tableaux. It is shown that on the basis of potentials that are consistent with the bound state energies and the asymptotic normalizing constant values one can obtain the total cross-sections and the astrophysical S-factors for the nuclear systems under consideration.2 H(n,γ) 3 H reaction is considered at energies from 10 meV (0.01 eV) to 10 MeV and the 2 H(p,γ) 3 He reaction -at energies from 1 keV to 10 MeV. The comparisons of the total cross-section (for the n 2 Н radiative capture) and the astrophysical S-factor (for the p 2 Н radiative capture) found by us with other experimental and calculation results are given in the work. On the basis of theoretical total cross sections, these reaction rates have been calculated in the temperature range from 0.01 T 9 to 10 T 9 . The comparisons of the rates found by us with the rates obtained by other authors are presented in the work. The results for the rates are approximated by simple expressions, which simplify their use in applied thermonuclear and astrophysical researches.

Within the framework of a modified potential cluster model with forbidden states, radiation n12C capture at energies from 10-5 keV to 5 MeV is considered, taking into account a wide resonance at Ex = 8.2 MeV. It is shown that on the basis of potentials that are consistent with the energies of the bound states, it is possible to correctly transfer the available experimental data. Based on the obtained total cross sections, the n12C capture reaction rate was calculated. The results for reaction rate are approximated by simple expressions, which simplifies their use in applied research.