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We extend the renormalized perturbation theory for the single impurityAnderson model to the n-channel model with a Hund's rule coupling, and showthat the exact results for the spin, orbital and charge susceptibilities, aswell as the leading low temperature dependence for the resistivity, areobtained by working to second order in the renormalized couplings. A universalrelation is obtained between the renormalized parameters, independent of n, inthe Kondo regime. An expression for the dynamic spin susceptibility is alsoderived by taking into account repeated quasiparticle scattering, which isasymptotically exact in the low frequency regime and satisfies theKorringa-Shiba relation. The renormalized parameters, including therenormalized Hund's rule coupling, are deduced from numerical renormalizationgroup calculations for the model for the case n=2. The results confirmexplicitly the universal relations between the parameters in the Kondo regime.Using these results we evaluate the spin, orbital and charge susceptibilities,temperature dependence of the low temperature resistivity and dynamic spinsusceptibility for the particle-hole symmetric n=2 model.

Renormalized parameters and perturbation theory for an n-channel Anderson model with Hund's rule coupling