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The two-particle-self-consistent theory is applied to the single-impurityAnderson model. It is found that it cannot reproduce the small energy scale inthe strong correlation limit. A modified scheme to overcome this difficulty isproposed by introducing an appropriate vertex correction explicitly. Using thesame vertex correction, the self-energy is investigated, and it is found thatunder certain assumptions it reproduces the result of the modified perturbationtheory which interpolates the weak and the strong correlation limits.Comment: 5 pages, 7 figures, submitted to J. Phys. Soc. Jp

Investigation of the Two-Particle-Self-Consistent Theory for the Single-Impurity Anderson Model and an Extension to the Case of Strong Correlation