Recombination process for the hydrogen atom in the presence of blackbody radiation

The process of recombination for the hydrogen atom in the heat bath creating the blackbody radiation is described within the frameworks of quantum electrodynamics. For this purpose the self-energy for unbound electron in the field of the nucleus is considered. The imaginary part of this self-energy is directly connected with the recombination cross section. The same procedure is applied to the hydrogen atom in the field of blackbody radiation. This leads to a thermal correction to the process of recombination for the hydrogen atom in the heat bath.