Likely existence of bound states and the Efimov effect in the triple-$J/ψ$ system
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| Format: | Preprint |
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2024
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| _version_ | 1866929440602193920 |
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| author | Pan, Ya-Wen Liu, Zhi-Wei Geng, Li-Sheng Hosaka, Atsushi Liu, Xiang |
| author_facet | Pan, Ya-Wen Liu, Zhi-Wei Geng, Li-Sheng Hosaka, Atsushi Liu, Xiang |
| contents | The ground-breaking discovery of the first fully charmed tetraquark state $X(6900)$ in the $J/ψJ/ψ$ invariant mass distribution by the LHCb collaboration has inspired intensive theoretical studies. Various interpretations, such as molecular states, compact tetraquark states, and coupled-channel effects, have been proposed for these states. Of particular interest is the ongoing search for the triple-$J/ψ$ state--a fully-charmed hexaquark state. To deepen our understanding of the triple-$J/ψ$ state and to guide future experimental searches, we study the triple-$J/ψ$ system in this work employing the Gaussian expansion method and the $J/ψJ/ψ$ potential parameterized to yield a shallow bound state, as suggested in several theoretical works. Our results support a triple-$J/ψ$ bound state, even in cases where the attractive interaction between the two $J/ψ$ mesons is very weak. Moreover, our analysis implies the Efimov effect in the triple-$J/ψ$ system. In addition, we extend our investigation to the triple-$Υ(1S)$ system and obtain results similar to those for the triple-$J/ψ$ system. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_20017 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Likely existence of bound states and the Efimov effect in the triple-$J/ψ$ system Pan, Ya-Wen Liu, Zhi-Wei Geng, Li-Sheng Hosaka, Atsushi Liu, Xiang High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory The ground-breaking discovery of the first fully charmed tetraquark state $X(6900)$ in the $J/ψJ/ψ$ invariant mass distribution by the LHCb collaboration has inspired intensive theoretical studies. Various interpretations, such as molecular states, compact tetraquark states, and coupled-channel effects, have been proposed for these states. Of particular interest is the ongoing search for the triple-$J/ψ$ state--a fully-charmed hexaquark state. To deepen our understanding of the triple-$J/ψ$ state and to guide future experimental searches, we study the triple-$J/ψ$ system in this work employing the Gaussian expansion method and the $J/ψJ/ψ$ potential parameterized to yield a shallow bound state, as suggested in several theoretical works. Our results support a triple-$J/ψ$ bound state, even in cases where the attractive interaction between the two $J/ψ$ mesons is very weak. Moreover, our analysis implies the Efimov effect in the triple-$J/ψ$ system. In addition, we extend our investigation to the triple-$Υ(1S)$ system and obtain results similar to those for the triple-$J/ψ$ system. |
| title | Likely existence of bound states and the Efimov effect in the triple-$J/ψ$ system |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2407.20017 |