  On the basis of an idea of the electron-hole relation between $f^2$ and $f^4$
states in a $j$-$j$ coupling scheme, we point out a possibility that
two-channel Kondo phenomena can be observed even in cubic transuranium
compounds including Np and Pu ions with local $\Gamma_3$ non-Kramers doublet
ground state. For the purpose, we analyze a seven-orbital impurity Anderson
model hybridized with degenerate $\Gamma_8$ conduction electron bands by
employing a numerical renormalization group method. From the numerical results
for the case of four local $f$ electrons, corresponding to Np$^{3+}$ and
Pu$^{4+}$ ions, we confirm that a residual entropy of $0.5\log 2$, a
characteristic of two-channel Kondo phenomena, appears for the case with the
local $\Gamma_3$ doublet ground state.
