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Possible Kondo effect in Pr skutterudite is studied with attention tocharacteristic features of low-lying crystalline electric field (CEF) levelsand the conduction band. A mechanism for the small CEF splitting between asinglet and a triplet is proposed as combination of the point-chargeinteraction and hybridization of 4f with ligand p states. Provided 4f^3configurations dominate over 4f^1 as intermediate states, p-f hybridizationfavors the triplet, while point-charge interaction favors the singlet. Forrealistic parameters for hybridization as well as 4f^1 and 4f^3 levels, thesesinglet and triplet can form a nearly degenerate pseudo-quartet. It is foundthat one of two spin 1/2 objects composing the pseudo-quartet has aferromagnetic exchange, while the other has an antiferromagnetic exchange withconduction electrons. The magnitude of each effective exchange depends stronglyon a parameter characterizing the triplet wave function under the T_h symmetry.It is argued that differences of this parameter among Pr skutterdudites areresponsible for the apparent diversity of their physical properties. Numericalrenormalization group is used to derive the renormalization flows going towardsinglet, doublet, triplet or quaret according to the CEF splitting and exchangeinteractions.Comment: 19 pages, 6 figures, to be published in Special Invited Section  (Kondo Effect) of Journal of Physical Society of Japa

Theory of Crystalline Electric Field and Kondo Effect in Pr Skutterudites