Analysis of the Three-Body $B\to D^{+}{D}^{-}{\pi }^0$ Decay

Abstract

The decay process $B\to D^{+}{D}^{-}{\pi }^0$ is an interesting channel for the investigation of CP violating effects in the $b-$ sector. We write down a decay amplitude constrained by a low-energy theorem, which also includes the contribution of resonant $S-$ and $P-$wave beauty and charmed mesons, and we determine the relevant matrix elements in the infinite heavy quark mass limit, assuming the factorization ansatz. We estimate the rate of the decay: $\mathcal{B}(B\to D^{+}{D}^{-}{\pi }^0)\simeq 1\times 10^{-3}$. We also analyze the time-independent and time-dependent differential decay distributions, concluding that a signal for this process should be observed at the B-factories. Finally, we give an estimate of the decay rate of the Cabibbo-favoured process $B\to D^{+}{D}^{-}{K}_S$.

arXiv commentLaTex, 20 pages, 4 figures

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• Constituent quark model description of charmonium phenomenology
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• Measuring B -> rho pi decays and the unitarity angle alpha
• Measurement of the Branching Fractions for the Exclusive Decays of B^0 and B^+ to Dbar^(*)D^(*)K
• Measuring $\beta$ in $B\to D^{\ast +}{D}^{\ast -}{K}_s$ Decays
• On three-body $B^0\to D^{\ast -}{D}^{(\ast )0}{K}^{+}$ decays and couplings of heavy mesons to light pseudoscalar mesons
• Measurement of the Branching Fraction and Time-Dependent CP Asymmetry in the Decay B0->D*+D*-Ks
• Observing Direct CP Violation in Untagged B-Meson Decays
• Nonleptonic $B\to D^{(\ast )}{D}_{sJ}^{(\ast )}$ decays and the nature of the orbitally excited charmed-strange mesons
• Isospin analysis of B -> Dbar(*) D(*) K decays
• A precise isospin analysis of B -> Dbar(*) D(*) K decays
• On three-body B decays to charm