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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.10865 |
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| _version_ | 1866913503662571520 |
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| author | Yu, Kang Wang, Guang-Juan Wu, Jia-Jun Yang, Zhi |
| author_facet | Yu, Kang Wang, Guang-Juan Wu, Jia-Jun Yang, Zhi |
| contents | In this work, we conduct a three-coupled-channel analysis of the $Z_c(3900)$ structure, focusing on the $D\bar{D}^*$, $J/ψπ$, and $ρη_c$ channels, based on the one-boson exchange model. Drawing from previous study on the exotic state $T_{cc}$, we only utilize one more parameter to construct the interactions between the channels. Our model successfully reproduces the experimental line shapes of the invariant mass distribution at $\sqrt{s} = 4.23$ and $4.26$ GeV for the three channels. Additionally, the finite-volume energy levels in our model show agreement with current LQCD conclusion. Detailed analysis suggests that the $Z_c(3900)$ peaks in the $πJ/ψ$ and $ρη_c$ distributions primarily arise from the triangle loop involving the $D_1 \bar{D} D^*$ intermediate system. In the $D\bar{D}^*$ distribution, the threshold peak is generated by the cascade decay mechanism enhanced by a triangle diagram. Moreover, we find a virtual pole located far from the threshold, indicating that $Z_c(3900)$ peaks are not associated with physical pole. We conclude that the $Z_c(3900)$ peaks are predominantly caused by the threshold cusp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10865 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Three-Coupled-Channel Analysis of $Z_c(3900)$ Involving $D\bar{D}^*$, $πJ/ψ$, and $ρη_c $ Yu, Kang Wang, Guang-Juan Wu, Jia-Jun Yang, Zhi High Energy Physics - Phenomenology In this work, we conduct a three-coupled-channel analysis of the $Z_c(3900)$ structure, focusing on the $D\bar{D}^*$, $J/ψπ$, and $ρη_c$ channels, based on the one-boson exchange model. Drawing from previous study on the exotic state $T_{cc}$, we only utilize one more parameter to construct the interactions between the channels. Our model successfully reproduces the experimental line shapes of the invariant mass distribution at $\sqrt{s} = 4.23$ and $4.26$ GeV for the three channels. Additionally, the finite-volume energy levels in our model show agreement with current LQCD conclusion. Detailed analysis suggests that the $Z_c(3900)$ peaks in the $πJ/ψ$ and $ρη_c$ distributions primarily arise from the triangle loop involving the $D_1 \bar{D} D^*$ intermediate system. In the $D\bar{D}^*$ distribution, the threshold peak is generated by the cascade decay mechanism enhanced by a triangle diagram. Moreover, we find a virtual pole located far from the threshold, indicating that $Z_c(3900)$ peaks are not associated with physical pole. We conclude that the $Z_c(3900)$ peaks are predominantly caused by the threshold cusp. |
| title | A Three-Coupled-Channel Analysis of $Z_c(3900)$ Involving $D\bar{D}^*$, $πJ/ψ$, and $ρη_c $ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.10865 |