The continued interest in the study of radiative neutron capture on atomic nuclei is due, on the one hand, to the important role played by this process in the analysis of many fundamental properties of nuclei and nuclear reactions, and, on the other hand, to the wide use of the capture cross-section data in the various applications of nuclear physics and nuclear astrophysics, and, also, to the importance of the analysis of primordial nucleosynthesis in the Universe. This paper is devoted to the description of results for the processes of the radiative neutron capture on certain light atomic nuclei at thermal and astrophysical energies. The consideration of these processes is done within the framework of the potential cluster model (PCM), general description of which was given earlier. The methods of usage of the results obtained, based on the phase shift analysis intercluster potentials, are demonstrated in calculations of the radiative capture characteristics. The considered capture reactions are not part of stellar thermonuclear cycles, but involve in the basic reaction chain of primordial nucleosynthesis in the course of the Universe formation.

The phase shift analysis, done on the basis of the known measurements of the differential cross-sections of the р 13 С elastic scattering at the energy range 250750 keV, shows that it is enough to take into account only 3 S 1 wave in the considered energy region. The potential for the triplet 3 S 1 state in р 13 С system at the resonance energy 0.55 MeV corresponding to quantum numbers J  T = 1-1 as well as the potential for the 3 Р 1 bound state of 14 N were constructed on the basis of the obtained scattering phase shifts. The possibility to describe the experimental data of the astrophysical S-factor of the р 13 С radiative capture at the energies 0.030.8 MeV was considered within the potential cluster model with the forbidden states. It was shown that we properly succeed in explanation of the energy behavior of the astrophysical S-factor for the р 13 С radiative capture at the resonance energy range 0.55 MeV (laboratory system). PACS number(s): 26.; 25.20.-x; 24.10.-i; 21.60.-n; 21.60.Gx; 02

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In the framework of the modified potential cluster model the possibility of describing the available experimental data for the total cross sections for n11B radiative capture at thermal and astrophysical energies were considered with taking into account the 21 and 430 keV resonances