  The continued interest to the study of the radiative neutron capture on
atomic nuclei is caused, on the one hand, by the important role of this process
in the analysis of many fundamental properties of nuclei and nuclear reactions,
and, on the other hand, by the wide use of the capture cross section data in
the various applications of nuclear physics and nuclear astrophysics, and,
also, by the analysis of the processes of primordial nucleosynthesis in the
Universe. This review is devoted to description of the results obtained for the
processes of the radiative neutron capture at thermal and astrophysical
energies on certain light atomic nuclei. The consideration of these processes
is done in the frame of the potential cluster model, the general principles of
which and calculation methods were described earlier. The methods of usage of
the obtained on the basis of the phase shift analysis intercluster potentials
will be directly demonstrated for calculations of the radiative capture
characteristics. The considered capture reactions are not a part of stellar
thermonuclear cycles, but they get in the basic reaction chain of primordial
nucleosynthesis, taken place in the time of the Universe formation.
