We study the D^{ +} -> sigma pi^{ +}, D^{ +} -> rho^0 pi^{ +}, B^{ -} -> sigma pi^{ -}, B^{ -} -> rho^0 pi^{ -} and \bar{ B}^0 -> rho^{ \pm} pi^{ \mp} decays in a valence quark triangle model, incorporating chiral symmetries. We find a good agreement with recent experimental data for D^{ +} -> sigma pi^{ +} and for D^{ +} -> rho^0 pi^{ +}. We point out that a "long-distance" contribution due to the axial vector a_1 meson pole, calculated by using chiral symmetry, can be relevant to explain D^{ +}-> rho^0 \pi^{ +} and for lowering the ratio R=Br(\bar{ B}^0 -> rho^{ \pm} pi^{ \mp})/Br(B^{ -} -> rho^0 pi^{ -}) to be consistent with its phenomenological determination, within the large experimental uncertainity.
Categories: hep-ph