Study of Pure Annihilation Decays B_{d,s} \to D^{0} \bar D^{0}

Abstract

With heavy quark limit and hierarchy approximation ${\lambda }_{QCD}\ll m_D\ll m_B$, we analyze the $B\to D^0{\bar{D}}^0$ and $B_s\to D^0{\bar{D}}^0$ decays, which occur purely via annihilation type diagrams. As a roughly estimation, we calculate their branching ratios and CP asymmetries in Perturbative QCD approach. The branching ratio of $B\to D^0{\bar{D}}^0$ is about $3.8\times 10^{-5}$ that is just below the latest experimental upper limit. The branching ratio of $B_s\to D^0{\bar{D}}^0$ is about $6.8\times 10^{-4}$, which could be measured in LHC-b. From the calculation, it could be found that this branching ratio is not sensitive to the weak phase angle $\gamma$. In these two decay modes, there exist CP asymmetries because of interference between weak and strong interaction. However, these asymmetries are too small to be measured easily.

13 pages, 4 figures

References in corpus (6)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Measurement of Branching Fractions and CP-Violating Charge Asymmetries for B Meson Decays to D(*)D(*), and Implications for the CKM Angle gamma

Cited by in corpus (1)

• Understanding B -->J/Ψϕin the Standard Model