Nonleptonic three-body charmed baryon weak decays with H(15)
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| Format: | Preprint |
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2024
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| _version_ | 1866910454990766080 |
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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 nonleptonic three-body charmed baryon weak decays of $\mathbf{B}_{c}\rightarrow\mathbf{B}_{n}PP^{\prime}$ under the $SU(3)_{F}$ flavor symmetry, where $\mathbf{B}_{c}$ denotes the anti-triplet charmed baryon, comprising $(Ξ^{0}_{c},-Ξ^{+}_{c},Λ^{+}_{c})$, and $\mathbf{B}_{n}$ and $P(P^{\prime})$ represent octet baryon and pseudoscalar meson states, respectively. In addition to 12 parameters from the contributions of the color-antisymmetric part of the effective Hamiltonian, denoted as $H(\bar{\mathbf{6}})$, there are 4 parameters from the color-symmetric one, $H(\mathbf{15})$, which were not included in the previous study. With 16 parameters in total and 28 experimental data points, we obtain the minimal $χ^2$ over degree of freedom of $χ^{2}/d.o.f=1.5$, which is a great improvement comparing to that without $H(\mathbf{15})$. With the better fitting values, we evaluate the branching ratios and up-down asymmetries of $\mathbf{B}_{c}\rightarrow\mathbf{B}_{n}PP^{\prime}$, which present some interesting results such as $\mathcal{B}\,(Λ^{+}_{c}\rightarrow(Ξ(1690)^{0}\rightarrowΣ^{+}K^{-})\,K^{+})\equiv(1.5\pm0.4)\times10^{-3}$ and potential $SU(3)$ breaking effects in $Ξ^{+}_{c}\rightarrow pπ^{+}K^{-}$ and $Λ^{+}_{c}\rightarrow Σ^{+}π^{-}K^{+}$ to be verified by the experiments at BESIII, Belle-II and LHCb. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_06469 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonleptonic three-body charmed baryon weak decays with H(15) Geng, Chao-Qiang Liu, Chia-Wei Liu, Sheng-Lin High Energy Physics - Phenomenology High Energy Physics - Experiment We study the nonleptonic three-body charmed baryon weak decays of $\mathbf{B}_{c}\rightarrow\mathbf{B}_{n}PP^{\prime}$ under the $SU(3)_{F}$ flavor symmetry, where $\mathbf{B}_{c}$ denotes the anti-triplet charmed baryon, comprising $(Ξ^{0}_{c},-Ξ^{+}_{c},Λ^{+}_{c})$, and $\mathbf{B}_{n}$ and $P(P^{\prime})$ represent octet baryon and pseudoscalar meson states, respectively. In addition to 12 parameters from the contributions of the color-antisymmetric part of the effective Hamiltonian, denoted as $H(\bar{\mathbf{6}})$, there are 4 parameters from the color-symmetric one, $H(\mathbf{15})$, which were not included in the previous study. With 16 parameters in total and 28 experimental data points, we obtain the minimal $χ^2$ over degree of freedom of $χ^{2}/d.o.f=1.5$, which is a great improvement comparing to that without $H(\mathbf{15})$. With the better fitting values, we evaluate the branching ratios and up-down asymmetries of $\mathbf{B}_{c}\rightarrow\mathbf{B}_{n}PP^{\prime}$, which present some interesting results such as $\mathcal{B}\,(Λ^{+}_{c}\rightarrow(Ξ(1690)^{0}\rightarrowΣ^{+}K^{-})\,K^{+})\equiv(1.5\pm0.4)\times10^{-3}$ and potential $SU(3)$ breaking effects in $Ξ^{+}_{c}\rightarrow pπ^{+}K^{-}$ and $Λ^{+}_{c}\rightarrow Σ^{+}π^{-}K^{+}$ to be verified by the experiments at BESIII, Belle-II and LHCb. |
| title | Nonleptonic three-body charmed baryon weak decays with H(15) |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2403.06469 |