Densities of electron states of a two-band superconductor with paramagnetic impurity. Weak exchange scattering and strong interband scattering

It is shown that in the case of strong inter-zonal scattering of electrons on nonmagnet admixtures and moderate exchange scattering, the problem of evaluating the electron state densities in two-zone superconductors can be reduced to correspondent one-zone problem with re-determined parameters. In the case of weak exchange scattering of electrons on paramagnet admixture there is a limit transition to correspondent two-zone problem with non-magnet admixture. The densities of states obtained are applied to the problem of evaluating the critical temperature of superconducting transition.