The Benchmark Mode $Ω_c \to Ω^-π^+$ and Its Related Processes
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866910819530309632 |
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| author | Zeng, Shuge Xu, Fanrong Gu, Yu |
| author_facet | Zeng, Shuge Xu, Fanrong Gu, Yu |
| contents | The benchmark mode $Ω_c^0\to Ω^- π^+$, which receives purely factorization contribution, is of great importance among all the decay channels of $Ω_c^0$ decays. In this work, within the framework of non-relativistic quark model (NRQM), we calculate all the 6 baryon transition form factors involving $\frac12 ^+\to \frac32 ^+$ decays. The absolute branching fractions of non-leptonic decays $Ω_c^0\to Ω^- π^+$, $Ω_c^0\to Ω^- ρ^+$ and $Ω_c^0\to Ξ^- π^+$ as well as semi-leptonic decays $Ω_c^0\to Ω^- \ell^+ ν_{\ell} \; (\ell=e,μ)$ are calculated although they cannot be measured directly by current experiment. Based on the prediction $\mathcal{B}(Ω_c^0\toΩ^-π^+)=(3.43\pm0.48)\%$ in our work, we further predict the ratios between interested modes and the benchmark mode, giving $R(Ξ^-π^+)=0.16\pm0.06$, $R(Ω^-ρ^+)=5.33\pm0.94$, $R(Ω^- e^+ν_e)=1.18\pm0.22$ and $R(Ω^- μ^+ν_μ)=1.11\pm0.20$. The predictions on $Ω_c^0\to Ξ^-π^+$ and $Ω_c^0\to Ω^- e^+ν$ agree well with recent measured ratios reported by LHCb in 2023 and ALICE in 2024, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02097 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Benchmark Mode $Ω_c \to Ω^-π^+$ and Its Related Processes Zeng, Shuge Xu, Fanrong Gu, Yu High Energy Physics - Phenomenology The benchmark mode $Ω_c^0\to Ω^- π^+$, which receives purely factorization contribution, is of great importance among all the decay channels of $Ω_c^0$ decays. In this work, within the framework of non-relativistic quark model (NRQM), we calculate all the 6 baryon transition form factors involving $\frac12 ^+\to \frac32 ^+$ decays. The absolute branching fractions of non-leptonic decays $Ω_c^0\to Ω^- π^+$, $Ω_c^0\to Ω^- ρ^+$ and $Ω_c^0\to Ξ^- π^+$ as well as semi-leptonic decays $Ω_c^0\to Ω^- \ell^+ ν_{\ell} \; (\ell=e,μ)$ are calculated although they cannot be measured directly by current experiment. Based on the prediction $\mathcal{B}(Ω_c^0\toΩ^-π^+)=(3.43\pm0.48)\%$ in our work, we further predict the ratios between interested modes and the benchmark mode, giving $R(Ξ^-π^+)=0.16\pm0.06$, $R(Ω^-ρ^+)=5.33\pm0.94$, $R(Ω^- e^+ν_e)=1.18\pm0.22$ and $R(Ω^- μ^+ν_μ)=1.11\pm0.20$. The predictions on $Ω_c^0\to Ξ^-π^+$ and $Ω_c^0\to Ω^- e^+ν$ agree well with recent measured ratios reported by LHCb in 2023 and ALICE in 2024, respectively. |
| title | The Benchmark Mode $Ω_c \to Ω^-π^+$ and Its Related Processes |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.02097 |