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We report an infrared optical study of the pnictide high-temperature superconductor BaFeCoAs and its parent compound BaFeAs. We demonstrate that electronic correlations are moderately strong and do not change across the spin-density wave transition or with doping. By examining the energy scale and direction of spectral weight transfer, we argue that Hund’s coupling \emph{J} is the primary mechanism that gives rise to correlations.

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