$D\to \pi \pi$ decays with Final State Interactions

Abstract

We study $D\to \pi \pi$ decays with final state interactions considered in one-particle-exchange method. A clear physical picture for final state interactions based on quark and hadronic level diagrams is presented. A strong phase is introduced for hadronic effective couplings, which is crucial for explaining the experimental data of $D^{+}\to {\pi }^{+}{\pi }^0$, $D^0\to {\pi }^{+}{\pi }^{-}$, and $D^0\to {\pi }^0{\pi }^0$. Rescattering effects between different $D$ decay channels are usually large. They are important for obtaining correct branching ratios for $D\to \pi \pi$ decays in theoretical calculation.

14 Page, 8 figures, one table added

References in corpus (2)

• Final State Interactions in $D^0\to K^0\overline{K^0}$
• Inelastic Rescattering and CP Asymmetries in D -> pi+ pi-, pi0 pi0

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• Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to {\mathcal{B}}_{c}V$
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• New Measurements of Cabibbo-Suppressed Decays of D Mesons in CLEO-c
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• Systematic Study on QCD Interactions of Heavy Mesons with $\rho$ Meson
• Measurement of exclusive D meson decays to eta and eta' final states and SU(3) amplitude analysis
• From topological amplitude to rescattering dynamics
• Weak Annihilation Topologies and Final State Interactions in D -> PP Decays
• Evidence of $A_{CP}(D^0\to {\pi }^{+}{\pi }^{-})$ implies observable $CP$ violation in the $D^0\to {\pi }^0{\pi }^0$ decay
• Charmless Final State Interaction in B-> pi pi decays
• From topological amplitude to rescattering dynamics in doubly charmed baryon decays
• Study of W-exchange Mode $D^0\to \varphi {\bar{K}}^0$
• The FSI contribution to the observed $B_s$ decays into $K^{+}{K}^{-}$ and ${\pi }^{+}{K}^{-}$
• Final State Interaction Effect in Pure Annihilation $B_s\to \rho \rho$ Decay