Production of $X_b$ via radiative transition of $Υ(10753)$
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| Format: | Preprint |
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2024
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| _version_ | 1866914789680218112 |
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| author | Liu, Shi-Dong Cai, Hao-Dong Cai, Zu-Xin Gao, Hong-Shuo Li, Gang Wang, Fan Xie, Ju-Jun |
| author_facet | Liu, Shi-Dong Cai, Hao-Dong Cai, Zu-Xin Gao, Hong-Shuo Li, Gang Wang, Fan Xie, Ju-Jun |
| contents | We studied the radiative transitions between the $Υ(10753)$, the $S$-$D$ mixed state of the $Υ(4S)$ and $Υ_1(3\,{}^3D_1)$, and the $X_b$, the heavy quark flavor symmetry counterpart of the $X(3782)$ in the bottomonium sector. The radiative transition was assumed to occur through the intermediate bottom mesons, including $P$-wave $B_1^{(\prime)}$ mesons as well as the $S$-wave $B^{(*)}$ ones. The consideration of the $B_1^{(\prime)}$ mesons leads to the couplings to be in $S$-wave, and hence enhances the contributions of the intermediate meson loops. The radiative decay width for the $Υ(10753)\toγX_b$ is predicted to be order of $10~\mathrm{keV}$, corresponding to a branching fraction of $10^{-4}$. Based on the theoretical results, we strongly suggest to search for the $X_b$ in the $e^+e^-\toγX_b$ with $X_b\toππχ_{b1}$ near $\sqrt{s}=10.754~\mathrm{GeV}$, and it is hoped that the calculations here could be tested by the future Belle II experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01676 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Production of $X_b$ via radiative transition of $Υ(10753)$ Liu, Shi-Dong Cai, Hao-Dong Cai, Zu-Xin Gao, Hong-Shuo Li, Gang Wang, Fan Xie, Ju-Jun High Energy Physics - Phenomenology We studied the radiative transitions between the $Υ(10753)$, the $S$-$D$ mixed state of the $Υ(4S)$ and $Υ_1(3\,{}^3D_1)$, and the $X_b$, the heavy quark flavor symmetry counterpart of the $X(3782)$ in the bottomonium sector. The radiative transition was assumed to occur through the intermediate bottom mesons, including $P$-wave $B_1^{(\prime)}$ mesons as well as the $S$-wave $B^{(*)}$ ones. The consideration of the $B_1^{(\prime)}$ mesons leads to the couplings to be in $S$-wave, and hence enhances the contributions of the intermediate meson loops. The radiative decay width for the $Υ(10753)\toγX_b$ is predicted to be order of $10~\mathrm{keV}$, corresponding to a branching fraction of $10^{-4}$. Based on the theoretical results, we strongly suggest to search for the $X_b$ in the $e^+e^-\toγX_b$ with $X_b\toππχ_{b1}$ near $\sqrt{s}=10.754~\mathrm{GeV}$, and it is hoped that the calculations here could be tested by the future Belle II experiments. |
| title | Production of $X_b$ via radiative transition of $Υ(10753)$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.01676 |