Two-body Baryonic $B_{u,d,s}$ and $B_c$ to Charmless Final State Decays

Abstract

We study the rates and direct CP violations of two-body baryonic ${\bar{B}}_{u,d,s}\to {\mathbf{B}\overline{\mathbf{B}}}^{\prime }$ and $B_c^{-}\to {\mathbf{B}\overline{\mathbf{B}}}^{\prime }$ decays, where the final state baryons include low-lying octet and decuplet baryons. We incorporate topological amplitude formalism and the factorization approach. Asymptotic relations at large $m_b$ are used to simplify decay amplitudes. Using the most up-to-date data on ${\bar{B}}^0\to p\bar{p}$ and $B^{-}\to \Lambda \bar{p}$ decay rates as inputs, rates and direct CP violations of ${\bar{B}}_{u,d,s}\to {\mathbf{B}\overline{\mathbf{B}}}^{\prime }$ decays are revised and predicted. It is interesting that the results on rates satisfy all existing experimental bounds and some are close to the bounds. Factorization diagrams contribute to penguin-exchange, exchange, annihilation and penguin-annihilation amplitudes. Although the resulting penguin-exchange factorization amplitudes are sizable, the rest suffer from severe chiral suppression and are sensitive to non-factorizable contributions. The ${\bar{B}}_s\to p\bar{p}$ decay rate predicted in factorization calculation is very rare, but it can be enhanced by including non-factorizable contributions. The case where the rate is enhanced to saturate the present experimental bound is discussed. As annihilation modes $B_c^{-}\to {\mathbf{B}\overline{\mathbf{B}}}^{\prime }$ decays from factorization calculation are found to be very rare, but they can be enhanced by including non-factorizable contributions as well. Small direct CP violations of pure penguin modes in $\Delta S=-1$ ${\bar{B}}_{u,d,s}\to {\mathbf{B}\overline{\mathbf{B}}}^{\prime }$ decays are robust predictions of the SM, while vanishing direct CP violations of exchange modes in ${\bar{B}}_{u,d,s}\to {\mathbf{B}\overline{\mathbf{B}}}^{\prime }$ decays and in all $B_c^{-}\to {\mathbf{B}\overline{\mathbf{B}}}^{\prime }$ decay modes are null tests of the SM.

59 pages, revised and to appear in Phys. Rev. D

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Cited by in corpus (3)

• Study of two-body doubly charmful baryonic $B$ decays with $SU(3)$ flavor symmetry
• Large CP Asymmetries from Final-State Interactions in Charmful Baryonic Decays of $B^0\to {\Xi }_c^{+}{\overline{\Xi }}_c^{-}$ and $B_s^0\to {\Lambda }_c^{+}{\overline{\Lambda }}_c^{-}$
• Hidden charm ${\mathcal{P}}_{cs}(4338{)}^0$ production in baryonic $B^{-}\to J/\psi \Lambda \bar{p}$ decay