Josephson current through S-N-S junction containing paramagnetic impurities with local states within the gap

The ratio of zero bias, zero temperature Josephson current through SNS (superconductor-normal metal-superconductor) junction containing paramagnetic impurities with local states within the gap, to that of the pure-SNS junction, is studied and found to be $\text{1 ?ζ[(}\text{1}\text{?}{}^2{}_0\text{) + (}\text{1}\text{4?}{}^4{}_0\text{) ? (}\text{1}\text{4?}{}^6{}_0\text{)]}$, where ζ is a measure of impurity concentration and ?₀ is the normalized position of a local state within the gap.