  A new type of Kondo effect peculiar to unconventional superconductors is
studied theoretically by using the Wilson's numerical renormalization group
method. In this case, an angular momentum of a Cooper pair plays an important
role in the Kondo effect. It produces multichannel exchange couplings with a
local spin. Here we focus on a $p_x +i p_y$-wave state which is a full gap
system. The calculated impurity susceptibility shows that the local spin is
almost quenched by the Kondo effect in the strong coupling region ($T_{\rm
K}/\Delta \to \infty$), while the ground state is always a spin doublet over
all the $T_{\rm K}/\Delta$ region. Here $T_{\rm K}$ and $\Delta$ are the Kondo
temperature and the superconducting energy gap, respectively. This is different
from the s-wave pairing case where the Kondo singlet is realized for large
$T_{\rm K}/\Delta$ values. The strong coupling analysis shows that the $p_x +i
p_y$-wave Cooper pair is connected to the Kondo singlet via the orbital
dynamics of the paired electrons, generating the spin of the ground state. This
type of Kondo effect reflects the symmetry of the conduction electron system.
