Abstract
Within the framework of SU(3) flavor symmetry, we investigate two-body doubly charmful baryonic \( B\to {\textbf{B}}_c{\overline{\textbf{B}}}_c^{\prime } \) decays, where \( {\textbf{B}}_c{\overline{\textbf{B}}}_c^{\prime } \) represents the anti-triplet charmed dibaryon. We determine the SU(3)f amplitudes and calculate \( \mathcal{B}\left({B}^{-}\to {\Xi}_c^0{\overline{\Xi}}_c^{-}\right)=\left({3.4}_{-0.9}^{+1.0}\right)\times {10}^{-5} \) and \( \mathcal{B}\left({\overline{B}}_s^0\to {\Lambda}_c^{+}{\overline{\Xi}}_c^{-}\right)=\left({3.9}_{-1.0}^{+1.2}\right)\times {10}^{-5} \) 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 \( \mathcal{B}\left({\overline{B}}^0\to {\Lambda}_c^{+}{\overline{\Lambda}}_c^{-}\right) \). To test other interfering decay channels, we calculate \( \mathcal{B}\left({\overline{B}}_s^0\to {\Xi}_c^{0\left(+\right)}{\overline{\Xi}}_c^{0\left(+\right)}\right)=\left({3.0}_{-1.1}^{+1.4}\right)\times {10}^{-4} \) and \( \mathcal{B}\left({\overline{B}}^0\to {\Xi}_c^0{\overline{\Xi}}_c^0\right)=\left({1.5}_{-0.6}^{+0.7}\right)\times {10}^{-5} \). We estimate non-zero branching fractions for the pure W-exchange decay channels, specifically \( \mathcal{B}\left({\overline{B}}_s^0\to {\Lambda}_c^{+}{\overline{\Lambda}}_c^{-}\right)=\left({8.1}_{-1.5}^{+1.7}\right)\times {10}^{-5} \) and \( \mathcal{B}\left({\overline{B}}^0\to {\Xi}_c^{+}{\overline{\Xi}}_c^{-}\right)=\left(3.0\pm 0.6\right)\times {10}^{-6} \). Additionally, we predict \( \mathcal{B}\left({B}_c^{+}\to {\Xi}_c^{+}{\overline{\Xi}}_c^0\right)=\left({2.8}_{-0.7}^{+0.9}\right)\times {10}^{-4} \) and \( \mathcal{B}\left({B}_c^{+}\to {\Lambda}_c^{+}{\overline{\Xi}}_c^0\right)=\left({1.6}_{-0.4}^{+0.5}\right)\times {10}^{-5} \), which are accessible to experimental facilities such as LHCb.
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Acknowledgments
This work was supported by NSFC (Grants No. 11675030 and No. 12175128).
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Hsiao, YK. Study of two-body doubly charmful baryonic B decays with SU(3) flavor symmetry. J. High Energ. Phys. 2023, 117 (2023). https://doi.org/10.1007/JHEP11(2023)117
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DOI: https://doi.org/10.1007/JHEP11(2023)117