Decays of $1^{-+}$ Charmoniumlike Hybrid
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913270907011072 |
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| author | Shi, Chunjiang Chen, Ying Gong, Ming Jiang, Xiangyu Liu, Zhaofeng Sun, Wei |
| author_facet | Shi, Chunjiang Chen, Ying Gong, Ming Jiang, Xiangyu Liu, Zhaofeng Sun, Wei |
| contents | By extracting the transition amplitudes, we give the first lattice QCD prediction of the two-body decay partial widths of the $1^{-+}$ charmoniumlike hybrid $η_{c1}$. Given the calculated mass value $m_{η_{c1}}=4.329(36)$ GeV, the $η_{c1}$ decay is dominated by the open charm modes $D_1\bar{D}$, $D^*\bar{D}$ and $D^*\bar{D}^*$ with partial widths of $258(133)$ MeV, $88(18)$ MeV and $150(118)$ MeV, respectively. The coupling of $η_{c1}$ to $χ_{c1}$ plus a flavor singlet pseudoscalar is not small, but $χ_{c1}η$ decay is suppressed by the small $η-η'$ mixing angle. The partial width of $η_{c1}\to η_cη'$ is estimated to be around 1 MeV. We suggest experiments to search for $η_{c1}$ in the $P$-wave $D^*\bar{D}$ and $D^*\bar{D}^*$ systems. Especially, the polarization of $D^*\bar{D}^*$ can be used to distinguish the $1^{-+}$ product (total spin $S=1$) from $1^{--}$ products ($S=0$). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_12884 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decays of $1^{-+}$ Charmoniumlike Hybrid Shi, Chunjiang Chen, Ying Gong, Ming Jiang, Xiangyu Liu, Zhaofeng Sun, Wei High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology By extracting the transition amplitudes, we give the first lattice QCD prediction of the two-body decay partial widths of the $1^{-+}$ charmoniumlike hybrid $η_{c1}$. Given the calculated mass value $m_{η_{c1}}=4.329(36)$ GeV, the $η_{c1}$ decay is dominated by the open charm modes $D_1\bar{D}$, $D^*\bar{D}$ and $D^*\bar{D}^*$ with partial widths of $258(133)$ MeV, $88(18)$ MeV and $150(118)$ MeV, respectively. The coupling of $η_{c1}$ to $χ_{c1}$ plus a flavor singlet pseudoscalar is not small, but $χ_{c1}η$ decay is suppressed by the small $η-η'$ mixing angle. The partial width of $η_{c1}\to η_cη'$ is estimated to be around 1 MeV. We suggest experiments to search for $η_{c1}$ in the $P$-wave $D^*\bar{D}$ and $D^*\bar{D}^*$ systems. Especially, the polarization of $D^*\bar{D}^*$ can be used to distinguish the $1^{-+}$ product (total spin $S=1$) from $1^{--}$ products ($S=0$). |
| title | Decays of $1^{-+}$ Charmoniumlike Hybrid |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2306.12884 |