Effect of localized spin fluctuations on superconducting properties of dilute alloys

The effects of localized spin fluctuations on the critical temperature $T_c$ and the specific-heat jump $\Delta C\left(T_c\right)$ of dilute superconducting alloys is investigated, both in the weak and strong magnetic limits. In the weak magnetic limit (rapid spin fluctuations) we find that the expression of Kaiser for $T_c\left(n_I\right)$, where $n_I$ is the impurity concentration, which was derived for resonance scattering still holds with redefined values of the pertinent parameters, while the specific-heat jump obeys a BCS law of corresponding states. In the slow-spin-fluctuation limit the result of Abrikosov and Gor'kov (AG) for $T_c\left(n_I\right)$ is recovered, with a redefined expression for the Cooper-pair lifetime, while $\Delta C\left(T_c\right)$ as function of reduced temperature is depressed below the AG value.