A detailed and comprehensive study of the one-impurity multichannel Ko
ndo model is presented. In the limit of a large number of conduction e
lectron channels k >> 1, the low-low-energy fixed point is accessible
to a renormalization group improved perturbative expansion in 1/k. Thi
s straightforward approach enables us to examine the scaling, thermody
namics and dynamical response functions in great detail and make clear
the following features: (i) the criticality of the fixed point, (ii)
the universal non-integer degeneracy, and (iii) that the compensating
spin cloud has a spatial extent of the order of one lattice spacing.