Even parity, orbital singlet, and spin triplet pairing for superconducting LaFeAsO1-xFx

We examine the spin-triplet superconducting state of even parity mediated by ferromagnetic Hund's coupling between electrons in two almost degenerate orbital bands. This state may be realized in the recently discovered LaFeAsO1-xFx. It is robust against orbital-independent disorder. The splitting of the orbital degeneracy suppresses superconductivity and leads to an anisotropic spectrum in the Bogoliubov quasiparticle. The former predicts a strong pressure dependence of T-c and the latter predicts Fermi pockets, which may be tested in angle resolved photoemission spectra.