Abstract
The basic system of equations for a theory of superconductivity in systems with a chaotically distributed paramagnetic impurity of substitution, in which Migdal theorem is violated (it cannot be supposed ω0 ≪ EF), is presented. We take into account electron–phonon and impurity diagrams as well as supplement ones corresponding to intersection of electron–phonon and electron–impurity lines. Decrease of the quantity TC with increase of impurity concentration is shown to weaken in comparison with the case of usual superconductors. Coefficient of isotope effect α, energy gap, and order parameter at T = 0 are also calculated. Behavior of these quantities as a function of impurity concentration depends on Migdal's parameter m and transferred momentum qc.
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