Violation of PCAC and two-body baryonic $B$ and $D_s$ decays

Abstract

We study the two-body baryonic $B$ and $D_s$ decays based on the annihilation mechanism without the partial conservation of axial-vector current (PCAC) at the GeV scale. We demonstrate that the contributions of $B^{-}\to \Lambda \bar{p}$, $B^{-}\to {\Sigma }^0\bar{p}$ and ${\bar{B}}_s^0\to \Lambda \bar{\Lambda }$ are mainly from the scalar and pseudoscalar currents with their branching ratios predicted to be around $(3.5,5.3,5.3)\times 10^{-8}$, respectively, exactly the sizes of $\mathcal{B}(B\to \mathbf{B}{\bar{\mathbf{B}}}^{\prime })$ established by the data. We also apply the annihilation mechanism to all of the charmless two-body baryonic $B$ and $D_s$ decays. In particular, we can explain $\mathcal{B}({\bar{B}}_{(s)}^0\to p\bar{p})$ of order $10^{-8}$ and $\mathcal{B}(D_s^{+}\to p\bar{n})$ of order $10^{-3}$, which are from the axial-vector currents. In addition, the branching ratios of ${\bar{B}}^0\to \Lambda \bar{\Lambda }$, $B^{-}\to n\bar{p}$, and $B^{-}\to {\Sigma }^{-}{\bar{\Sigma }}^0$ are predicted to be $(0.3,3.2,9.6)\times 10^{-8}$, which can be measured by LHCb and viewed as tests for the violation of PCAC at the GeV scale.

12 pages, 1 figure, revised version accepted by PRD

References in corpus (5)

• Charmful Three-body Baryonic B decays
• Angular distributions in three-body baryonic B decays
• Baryonic D Decay $D_s^{+}\to p\bar{n}$ and Its Implication
• Determination of Nucleon Form factors from Baryonic B Decays
• Charmful baryonic B\to {\bf B\bar B'}M_c decays

Cited by in corpus (11)

• First observation of the rare purely baryonic decay $B^0\to p\bar{p}$
• Three-body charmless baryonic ${\bar{B}}_s^0$ decays
• Study of two-body doubly charmful baryonic $B$ decays with $SU(3)$ flavor symmetry
• Search for the rare hadronic decay $B_s^0\to p\bar{p}$
• Study of charmless two-body baryonic $B$ decays
• Two-body Baryonic $B_{u,d,s}$ and $B_c$ to Charmless Final State Decays
• Angular asymmetries in $B\to \Lambda \bar{p}M$ decays
• 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
• Rescattering-induced $D\to SS$ weak decays
• Observation of the rare baryonic decay $B^{+}\to p\bar{\Lambda }$ and measurement of its weak decay parameter