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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| Accès en ligne: | https://arxiv.org/abs/2308.06121 |
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| _version_ | 1866910396879732736 |
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| author | Guo, Xing-Dao Chen, Dian-Yong Li, Xue-Qian Yuan, Zhong-Yuan Sang, Shijin |
| author_facet | Guo, Xing-Dao Chen, Dian-Yong Li, Xue-Qian Yuan, Zhong-Yuan Sang, Shijin |
| contents | Motivated by the large branching fractions of $J/ψ\to f_0 (1710) ω/f_0(1710) ϕ$ and the light exotic candidates, we find that there may exist molecular states composed of $f_0(1710) ω$ and $f_0 (1710) ϕ$, which correspond to $X(2440)$ and $X(2680)$ observed in a few decades before. The branching fraction of $X(2440)$ and $X(2680)$ to various $PV$ channels and $KKω(ϕ)$ channels are estimated in the molecular scenario. In addition, the large branching fractions of $J/ψ\to f_0 (1710) ω/f_0(1710) ϕ$ indicate the sizable molecular components in the $J/ψ$ state. Thus, we consider the $J/ψ$ as the supperposition of $c\bar{c}(1S)$, $f_0(1710) ω$ and $f_0 (1710) ϕ$ molecular states, and these molecular components have significant impact on the light hadron decays of $J/ψ$, which may shield light on the long standing $ρ-π$ puzzle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_06121 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Molecular components in the $J/ψ$ and the $ρ$-$π$ puzzle Guo, Xing-Dao Chen, Dian-Yong Li, Xue-Qian Yuan, Zhong-Yuan Sang, Shijin High Energy Physics - Phenomenology Motivated by the large branching fractions of $J/ψ\to f_0 (1710) ω/f_0(1710) ϕ$ and the light exotic candidates, we find that there may exist molecular states composed of $f_0(1710) ω$ and $f_0 (1710) ϕ$, which correspond to $X(2440)$ and $X(2680)$ observed in a few decades before. The branching fraction of $X(2440)$ and $X(2680)$ to various $PV$ channels and $KKω(ϕ)$ channels are estimated in the molecular scenario. In addition, the large branching fractions of $J/ψ\to f_0 (1710) ω/f_0(1710) ϕ$ indicate the sizable molecular components in the $J/ψ$ state. Thus, we consider the $J/ψ$ as the supperposition of $c\bar{c}(1S)$, $f_0(1710) ω$ and $f_0 (1710) ϕ$ molecular states, and these molecular components have significant impact on the light hadron decays of $J/ψ$, which may shield light on the long standing $ρ-π$ puzzle. |
| title | Molecular components in the $J/ψ$ and the $ρ$-$π$ puzzle |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.06121 |