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We investigate interplay between magnetic fluctuations and superconductivityin the effective five-band Hubbard model for iron-oxypnictide superconductorson the basis of the fluctuation-exchange approximation. As for the normal-stateproperties, we find the pseudogap behavior in the NMR relaxation rate and thespectral weight in the electron-doped region, while we cannot find suchbehavior in the hole-doped region. The pseudogap behavior originates from theband structure effect, that is, existence of high density of states just belowthe Fermi level.  Solving the superconducting Eliashberg equation, we find that the mostprobable candidate for the pairing symmetry is the sign-changed s-wavespin-singlet state. For small Hund's coupling J, the eigenvalue is not sosensitive to carrier doping, and seems to be irrelevant with antiferromagnetic(AF) spin fluctuation. We suggest that correlation between spin andspin-quadrupole is important as the pairing mechanism as well as the AFfluctuation.

Pseudogap and Superconductivity in Iron-Based Layered Superconductor studied by Fluctuation-Exchange Approximation