Two competing interactions in the Anderson lattice model

The vertex function of the SU(N) Anderson lattice model is calculated by treating the intersite coupling perturbatively. There are two different scattering processes that contribute to the effective interactions. In one process the low-frequency Kondo resonance dominates and the effective interaction between quasiparticles is favorable for p-wave Cooper pairing at small values of kFR. In the other process all frequencies contribute and the effective interaction is against p-wave pairing for small kFR. This latter interaction is antiferromagnetic in nature.