Possible bound states in the triple-$η_c$ and triple-$J/ψ$ systems
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913851806580736 |
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| author | Xu, Guo-Feng Chen, Xu-Liang Zhang, Jin-Peng Li, Ning Chen, Wei |
| author_facet | Xu, Guo-Feng Chen, Xu-Liang Zhang, Jin-Peng Li, Ning Chen, Wei |
| contents | The observations of fully-charm tetraquark states in the LHCb, CMS and ATLAS experiments suggested the existence of the hadronic molecules of two-charmonium states, which may also imply bound states in the three-charmonium systems. In this work, we study the possible bound states in the triple-$η_c$ and triple-$J/ψ$ systems with $J^{PC}=0^{-+}$ and $1^{--}$, respectively. In QCD sum rules, we calculate the two-point correlation functions and spectral functions up to the dimension-four gluon condensate. We use the iterative dispersion relation approach to deal with the five-loop banana integrals, which significantly improves the computational efficiency. Our results show that the masses of triple-$η_c$ and triple-$J/ψ$ states lie below the corresponding mass thresholds, supporting the existence of such three-body bound states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08665 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Possible bound states in the triple-$η_c$ and triple-$J/ψ$ systems Xu, Guo-Feng Chen, Xu-Liang Zhang, Jin-Peng Li, Ning Chen, Wei High Energy Physics - Phenomenology High Energy Physics - Experiment The observations of fully-charm tetraquark states in the LHCb, CMS and ATLAS experiments suggested the existence of the hadronic molecules of two-charmonium states, which may also imply bound states in the three-charmonium systems. In this work, we study the possible bound states in the triple-$η_c$ and triple-$J/ψ$ systems with $J^{PC}=0^{-+}$ and $1^{--}$, respectively. In QCD sum rules, we calculate the two-point correlation functions and spectral functions up to the dimension-four gluon condensate. We use the iterative dispersion relation approach to deal with the five-loop banana integrals, which significantly improves the computational efficiency. Our results show that the masses of triple-$η_c$ and triple-$J/ψ$ states lie below the corresponding mass thresholds, supporting the existence of such three-body bound states. |
| title | Possible bound states in the triple-$η_c$ and triple-$J/ψ$ systems |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2504.08665 |