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Under flavor SU(3) symmetry (SU(3)_F), the final-state particles in B → PPP decays (P is a pseudoscalar meson) are treated as identical, and the PPP must be in a fully-symmetric(FS) state, a fully-antisymmetric (FA) state, or in one of four mixed states. In this paper, we present the formalism for the FA states. We write the amplitudes for the 22 B → PPP decays that can be in an FA state in terms of both the SU(3)_F reduced matrix elements and diagrams. This shows the equivalence of diagrams and SU(3)_F. We also give 15 relations among the amplitudes in the SU(3)_F limit as well as the additional four that appear when the diagrams E/A/PA are neglected. We present sets of B → PPP decays that can be used to extract γ using the FA amplitudes. The value(s) of γ found in this way can be compared with the value(s) found using the FS states.more » « less
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null (Ed.)A bstract Model-independent description of nonleptonic decays of charmed mesons is a challenging task due to large nonperturbative effects of strong interactions on the transition amplitudes. We discuss the equivalence of two different flavor-SU(3)-based descriptions of Cabibbo-favored non-leptonic decays of charmed mesons to two-pseudoscalars final states including the η and η ′ mesons.more » « less
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