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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.08072 |
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| _version_ | 1866911001123749888 |
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| author | Man, Zi-Long Luo, Si-Qiang Bai, Zi-Yue Liu, Xiang |
| author_facet | Man, Zi-Long Luo, Si-Qiang Bai, Zi-Yue Liu, Xiang |
| contents | Among charmoniumlike $XYZ$ states, the $ψ(4220)$ and $ψ(4380)$ states have emerged as key candidates for exploring the charmonium spectrum. In this work, we propose a $4S$-$3D$ charmonium mixing scheme for the $ψ(4220)$ and $ψ(4380)$, induced by coupled-channel effects. By constructing a coupled-channel model, we identify the dynamical mechanism responsible for the large mixing angle observed in previous studies, which cannot be explained by conventional potential models alone. Our analysis reveals that the $DD_1$ channel significantly influences the lower state ($ψ(4220)$), while the $D^*D_1$ channel primarily affects the higher state ($ψ(4380)$). Furthermore, we investigate the two-body Okubo-Zweig-Iizuka (OZI)-allowed strong decay behaviors of these states, providing insights into their total widths. This study not only supports the $4S$-$3D$ mixing scheme but also offers a deeper understanding of the role of coupled channels in shaping the charmonium spectrum above 4 GeV. Our results align with experimental observations and provide a framework for interpreting future data on charmonium states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08072 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coupled-channel study of $4S$-$3D$ mixing dynamics in $ψ(4220)$ and $ψ(4380)$ Man, Zi-Long Luo, Si-Qiang Bai, Zi-Yue Liu, Xiang High Energy Physics - Phenomenology High Energy Physics - Experiment Among charmoniumlike $XYZ$ states, the $ψ(4220)$ and $ψ(4380)$ states have emerged as key candidates for exploring the charmonium spectrum. In this work, we propose a $4S$-$3D$ charmonium mixing scheme for the $ψ(4220)$ and $ψ(4380)$, induced by coupled-channel effects. By constructing a coupled-channel model, we identify the dynamical mechanism responsible for the large mixing angle observed in previous studies, which cannot be explained by conventional potential models alone. Our analysis reveals that the $DD_1$ channel significantly influences the lower state ($ψ(4220)$), while the $D^*D_1$ channel primarily affects the higher state ($ψ(4380)$). Furthermore, we investigate the two-body Okubo-Zweig-Iizuka (OZI)-allowed strong decay behaviors of these states, providing insights into their total widths. This study not only supports the $4S$-$3D$ mixing scheme but also offers a deeper understanding of the role of coupled channels in shaping the charmonium spectrum above 4 GeV. Our results align with experimental observations and provide a framework for interpreting future data on charmonium states. |
| title | Coupled-channel study of $4S$-$3D$ mixing dynamics in $ψ(4220)$ and $ψ(4380)$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2502.08072 |