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A strong-coupling-perturbation theory around the Atomic Limit of the Andersonmodel with large $U$ for a localized $f$-orbital coupled to aconduction-electron band is presented. Although an auxiliary-particlerepresentation is {\em not} used, application of the canonical Wick's theoremis possible and yields an expansion in the hybridization $V$ via dressedskeleton-Feynman diagrams. The Self-Consistent T-Approximation is constructedas a $\Phi$-derivable approximation. From a numerical solution ofself-consistency equations the $f$-electron-excitation spectrum isinvestigated. Comparison to the Non-Crossing Approximation is made in virtue ofexact formal relations and numerical results. An extension of thisFeynman-diagram approach to the Anderson-lattice model is indicated, andapplication within the Local-Approximation scheme (limit of infinite spatialdimension) is given.Comment: 19 pages, revtex3.0, epsf, 11 figures included as .eps file

Self-consistent strong-coupling-perturbation theory for the Anderson model based on Wick’s theorem