Study of two-body doubly charmful baryonic $B$ decays with $SU(3)$ flavor symmetry
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913617333452800 |
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| author | Hsiao, Yu-Kuo |
| author_facet | Hsiao, Yu-Kuo |
| contents | Within the framework of $SU(3)$ flavor symmetry, we investigate two-body doubly charmful baryonic $B\to{\bf B}_c\bar{\bf B}'_c$ decays, where ${\bf B}_c\bar{\bf B}'_c$ represents the anti-triplet charmed dibaryon. We determine the $SU(3)_f$ amplitudes and calculate ${\cal B}(B^-\to Ξ_c^0\bar Ξ_c^-)=(3.4^{+1.0}_{-0.9})\times 10^{-5}$ and ${\cal B}(\bar B^0_s\to Λ_c^+\bar Ξ_c^-)=(3.9^{+1.2}_{-1.0})\times 10^{-5}$ 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 ${\cal B}(\bar B^0\toΛ_c^+\barΛ_c^-)$. To test other interfering decay channels, we calculate ${\cal B}(\bar B^0_s\to Ξ_c^{0(+)}\bar Ξ_c^{0(+)})=(3.0^{+1.4}_{-1.1})\times 10^{-4}$ and ${\cal B}(\bar B^0\to Ξ_c^0\bar Ξ_c^0)=(1.5^{+0.7}_{-0.6})\times 10^{-5}$. We estimate non-zero branching fractions for the pure $W$-exchange decay channels, specifically ${\cal B}(\bar B^0_s\to Λ_c^+\bar Λ_c^-)=(8.1^{+1.7}_{-1.5})\times 10^{-5}$ and ${\cal B}(\bar B^0\to Ξ_c^+\bar Ξ_c^-)=(3.0\pm 0.6)\times 10^{-6}$. Additionally, we predict ${\cal B}(B^+_c\to Ξ_c^+\bar Ξ_c^0)=(2.8^{+0.9}_{-0.7})\times 10^{-4}$ and ${\cal B}(B^+_c\to Λ_c^+\bar Ξ_c^0)=(1.6^{+0.5}_{-0.4})\times 10^{-5}$, which are accessible to experimental facilities such as LHCb. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16919 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Study of two-body doubly charmful baryonic $B$ decays with $SU(3)$ flavor symmetry Hsiao, Yu-Kuo High Energy Physics - Phenomenology High Energy Physics - Experiment Within the framework of $SU(3)$ flavor symmetry, we investigate two-body doubly charmful baryonic $B\to{\bf B}_c\bar{\bf B}'_c$ decays, where ${\bf B}_c\bar{\bf B}'_c$ represents the anti-triplet charmed dibaryon. We determine the $SU(3)_f$ amplitudes and calculate ${\cal B}(B^-\to Ξ_c^0\bar Ξ_c^-)=(3.4^{+1.0}_{-0.9})\times 10^{-5}$ and ${\cal B}(\bar B^0_s\to Λ_c^+\bar Ξ_c^-)=(3.9^{+1.2}_{-1.0})\times 10^{-5}$ 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 ${\cal B}(\bar B^0\toΛ_c^+\barΛ_c^-)$. To test other interfering decay channels, we calculate ${\cal B}(\bar B^0_s\to Ξ_c^{0(+)}\bar Ξ_c^{0(+)})=(3.0^{+1.4}_{-1.1})\times 10^{-4}$ and ${\cal B}(\bar B^0\to Ξ_c^0\bar Ξ_c^0)=(1.5^{+0.7}_{-0.6})\times 10^{-5}$. We estimate non-zero branching fractions for the pure $W$-exchange decay channels, specifically ${\cal B}(\bar B^0_s\to Λ_c^+\bar Λ_c^-)=(8.1^{+1.7}_{-1.5})\times 10^{-5}$ and ${\cal B}(\bar B^0\to Ξ_c^+\bar Ξ_c^-)=(3.0\pm 0.6)\times 10^{-6}$. Additionally, we predict ${\cal B}(B^+_c\to Ξ_c^+\bar Ξ_c^0)=(2.8^{+0.9}_{-0.7})\times 10^{-4}$ and ${\cal B}(B^+_c\to Λ_c^+\bar Ξ_c^0)=(1.6^{+0.5}_{-0.4})\times 10^{-5}$, which are accessible to experimental facilities such as LHCb. |
| title | Study of two-body doubly charmful baryonic $B$ decays with $SU(3)$ flavor symmetry |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2309.16919 |