Two-body charmed baryon nonleptonic weak decays with decuplet baryon involving SU(3) breaking effects
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arXiv
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2025
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| author | Geng, Chao-Qiang Liu, Chia-Wei Liu, Sheng-Lin |
| author_facet | Geng, Chao-Qiang Liu, Chia-Wei Liu, Sheng-Lin |
| contents | We study the singly charmed baryon two-body decays of $\mathbf{B}_c \rightarrow \mathbf{B}_D P$ under $SU(3)_{F}$ flavor symmetry, where ${\bf B}_{c}$ refers to anti-triplet singly charmed baryons, and ${\bf B}_{D}$ and $P$ denote decuplet baryons and pseudoscalar mesons, respectively. Compared to the literature, we adopt a concise and reasonable treatment of the $SU(3)$ flavor symmetry breaking, by considering the final-state mass dependence of partial waves. With 4 real parameters in total and 9 experimental data points, we achieve a minimal $χ^2/\text{d.o.f.} $ value of $ 1.46$, providing a satisfactory explanation to the experiment results. We evaluate the branching ratios and Lee-Yang parameters suggesting the absence of the strong phase in $\mathbf{B}_c \rightarrow \mathbf{B}_D P$, along with an unusual positive decay asymmetry $α\,(Ξ_{c}^{0}\rightarrow Ω^{-}K^{+})$. The predicted results of large $SU(3)_{F}$ breaking effects in $\mathbf{B}_c \rightarrow \mathbf{B}_D P$ can be verified in the further research by the experiments at BESIII, Belle-II and LHCb. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17237 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-body charmed baryon nonleptonic weak decays with decuplet baryon involving SU(3) breaking effects Geng, Chao-Qiang Liu, Chia-Wei Liu, Sheng-Lin High Energy Physics - Phenomenology High Energy Physics - Experiment We study the singly charmed baryon two-body decays of $\mathbf{B}_c \rightarrow \mathbf{B}_D P$ under $SU(3)_{F}$ flavor symmetry, where ${\bf B}_{c}$ refers to anti-triplet singly charmed baryons, and ${\bf B}_{D}$ and $P$ denote decuplet baryons and pseudoscalar mesons, respectively. Compared to the literature, we adopt a concise and reasonable treatment of the $SU(3)$ flavor symmetry breaking, by considering the final-state mass dependence of partial waves. With 4 real parameters in total and 9 experimental data points, we achieve a minimal $χ^2/\text{d.o.f.} $ value of $ 1.46$, providing a satisfactory explanation to the experiment results. We evaluate the branching ratios and Lee-Yang parameters suggesting the absence of the strong phase in $\mathbf{B}_c \rightarrow \mathbf{B}_D P$, along with an unusual positive decay asymmetry $α\,(Ξ_{c}^{0}\rightarrow Ω^{-}K^{+})$. The predicted results of large $SU(3)_{F}$ breaking effects in $\mathbf{B}_c \rightarrow \mathbf{B}_D P$ can be verified in the further research by the experiments at BESIII, Belle-II and LHCb. |
| title | Two-body charmed baryon nonleptonic weak decays with decuplet baryon involving SU(3) breaking effects |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2501.17237 |