Resonances and weak interactions in $D^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$ decays

Abstract

We describe the $\pi \pi$ $S$-wave in $D^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$ decays using a unitary model for the $\pi \pi$ Final State Interactions (FSI). The three body decay is treated as a quasi two-body process where, at the weak vertex, the D meson decays into a resonance and a pion. The weak part of the decay amplitude is evaluated using the effective weak Hamiltonian within the factorization approximation.

4 pages. Contribution to the X Hadron Physics, Florianopolis-Brazil, March 26-31, 2007

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• Mass and width of the lowest resonance in QCD
• Experimental evidence for a light and broad scalar resonance in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay
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• Final State Interactions in Hadronic D decays
• Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays
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• Estimating sigma-meson couplings from D \to 3πdecays

Cited by in corpus (1)

• Scalar resonances in a unitary $\pi -\pi$ $S$-wave model for $D^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$