  The twofold degenerate Anderson impurity model [1-4] is investigated and the
strong electronic correlations of d-electrons of impurity ion are taken into
account by elaborating suitable diagram technique. We discuss the properties of
the Slater-Kanamori model [2-4] of d-impurity electrons. After finding the
eigenfunctions and eigenvalues of all 16 local states, we determine the local
one-particle propagator. Then we construct the perturbation theory around the
atomic limit of the impurity ion and obtain the Dyson type equation for the
renormalized one-particle propagator. Diagrammatic theory has been developed
and correlation function determined. Special diagrammatic approximation was
discussed and summation of diagram has been considered.
