Study of two-body doubly charmful baryonic $B$ decays with $SU(3)$ flavor symmetry

Abstract

Within the framework of $SU(3)$ flavor symmetry, we investigate two-body doubly charmful baryonic $B\to {\mathbf{B}}_c{\bar{\mathbf{B}}}_c^{\prime }$ decays, where ${\mathbf{B}}_c{\bar{\mathbf{B}}}_c^{\prime }$ represents the anti-triplet charmed dibaryon. We determine the $SU(3{)}_f$ amplitudes and calculate $\mathcal{B}(B^{-}\to {\Xi }_c^0{\bar{\Xi }}_c^{-})=(3.4_{-0.9}^{+1.0})\times 10^{-5}$ and $\mathcal{B}({\bar{B}}_s^0\to {\Lambda }_c^{+}{\bar{\Xi }}_c^{-})=(3.9_{-1.0}^{+1.2})\times 10^{-5}$ induced by the single $W$-emission configuration. We find that the $W$-exchange amplitude, previously neglected in studies, needs to be taken into account. It can cause a destructive interfering effect with the $W$-emission amplitude, alleviating the significant discrepancy between the theoretical estimation and experimental data for $\mathcal{B}({\bar{B}}^0\to {\Lambda }_c^{+}{\bar{\Lambda }}_c^{-})$. To test other interfering decay channels, we calculate $\mathcal{B}({\bar{B}}_s^0\to {\Xi }_c^{0(+)}{\bar{\Xi }}_c^{0(+)})=(3.0_{-1.1}^{+1.4})\times 10^{-4}$ and $\mathcal{B}({\bar{B}}^0\to {\Xi }_c^0{\bar{\Xi }}_c^0)=(1.5_{-0.6}^{+0.7})\times 10^{-5}$. We estimate non-zero branching fractions for the pure $W$-exchange decay channels, specifically $\mathcal{B}({\bar{B}}_s^0\to {\Lambda }_c^{+}{\bar{\Lambda }}_c^{-})=(8.1_{-1.5}^{+1.7})\times 10^{-5}$ and $\mathcal{B}({\bar{B}}^0\to {\Xi }_c^{+}{\bar{\Xi }}_c^{-})=(3.0\pm 0.6)\times 10^{-6}$. Additionally, we predict $\mathcal{B}(B_c^{+}\to {\Xi }_c^{+}{\bar{\Xi }}_c^0)=(2.8_{-0.7}^{+0.9})\times 10^{-4}$ and $\mathcal{B}(B_c^{+}\to {\Lambda }_c^{+}{\bar{\Xi }}_c^0)=(1.6_{-0.4}^{+0.5})\times 10^{-5}$, which are accessible to experimental facilities such as LHCb.

11 pages, 1 figure, 2 tables, updated to match published version

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• Violation of PCAC and two-body baryonic $B$ and $D_s$ decays
• $SU(3)$ Flavor Symmetry for Weak Hadronic Decays of ${\mathbf{B}}_{bc}$ Baryons
• Production of doubly charmed baryons in B decays
• Baryonic $B$ meson decays
• $f_J(2220)$ and Hadronic ${\bar{B}}_s^0$ Decays
• Two-body Baryonic $B_{u,d,s}$ and $B_c$ to Charmless Final State Decays
• Semileptonic baryonic $B$ decays
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• 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
• First observation of the ${\overline{B}}_s^0\to {\Lambda }_c^{+}{\overline{\Lambda }}_c{}^{-}$ decay and evidence for the ${\overline{B}}^0\to {\Lambda }_c^{+}{\overline{\Lambda }}_c{}^{-}$ decay
• Puzzles in charmed baryon semileptonic decays with $SU(3{)}_F$ flavor symmetry and lattice inputs