The $J/ψ$-nucleon interaction mechanism: A theoretical study based on scattering length
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916638826168320 |
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| author | Wu, Bing Dong, Xiang-Kun Du, Meng-Lin Guo, Feng-Kun Zou, Bing-Song |
| author_facet | Wu, Bing Dong, Xiang-Kun Du, Meng-Lin Guo, Feng-Kun Zou, Bing-Song |
| contents | The low-energy $J/ψN$ scattering is of significant importance for various reasons. It is deeply interconnected with the hidden-charm $P_c$ pentaquark states, provides insights into the role of gluons in nucleon structures, and is pertinent to the properties of $J/ψ$ in nuclear medium. The scattering can occur through two distinct mechanisms: the coupled-channel mechanism involving open-charm meson-baryon intermediate states $Λ_c \bar D^{(*)}$ and $ Σ_c^{(*)}\bar D^{(*)}$, and the soft-gluon exchange mechanism. In this study, we investigate the $S$-wave $J/ψN$ scattering length arising from both mechanisms. Our findings indicate that both mechanisms lead to attractive interactions, yielding scattering lengths of $[-10, -0.1] \times 10^{-3}$ fm for the coupled-channel mechanism and $<-0.16$ fm for the soft-gluon exchange mechanism, respectively. Notably, the soft-gluon exchange mechanism produces a scattering length that is at least one order of magnitude larger than that from the coupled-channel mechanism, indicating its predominance. These findings can be corroborated through lattice calculations and will enhance our understanding of scattering processes that violate the Okubo-Zweig-Iizuka rule. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00702 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $J/ψ$-nucleon interaction mechanism: A theoretical study based on scattering length Wu, Bing Dong, Xiang-Kun Du, Meng-Lin Guo, Feng-Kun Zou, Bing-Song High Energy Physics - Phenomenology The low-energy $J/ψN$ scattering is of significant importance for various reasons. It is deeply interconnected with the hidden-charm $P_c$ pentaquark states, provides insights into the role of gluons in nucleon structures, and is pertinent to the properties of $J/ψ$ in nuclear medium. The scattering can occur through two distinct mechanisms: the coupled-channel mechanism involving open-charm meson-baryon intermediate states $Λ_c \bar D^{(*)}$ and $ Σ_c^{(*)}\bar D^{(*)}$, and the soft-gluon exchange mechanism. In this study, we investigate the $S$-wave $J/ψN$ scattering length arising from both mechanisms. Our findings indicate that both mechanisms lead to attractive interactions, yielding scattering lengths of $[-10, -0.1] \times 10^{-3}$ fm for the coupled-channel mechanism and $<-0.16$ fm for the soft-gluon exchange mechanism, respectively. Notably, the soft-gluon exchange mechanism produces a scattering length that is at least one order of magnitude larger than that from the coupled-channel mechanism, indicating its predominance. These findings can be corroborated through lattice calculations and will enhance our understanding of scattering processes that violate the Okubo-Zweig-Iizuka rule. |
| title | The $J/ψ$-nucleon interaction mechanism: A theoretical study based on scattering length |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.00702 |