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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2410.10154 |
| Etiquetas: |
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- We construct a dynamical coupled-channel approach to photon-induced $J/ψ$ production to search for the trace of the pentaquarks $P_c$. In this approach, the considered open-charm intermediate states are $Λ_c \bar{D}^{(*)}$ and $Σ_c \bar{D}^{(*)}$. Scattering amplitude involving $Λ_c \bar{D}^{(*)}$, $Σ_c \bar{D}^{(*)}$ and $J/ψp$ interactions is calculated from solving a set of coupled-channel integral equations. The coupled-channel interaction potentials are generated from one-boson-exchange. The pentaquarks $P_c$ are dynamically generated from the coupled-channel interactions. Moreover, the background contributions to the $P_c$ signals are assumed to be the Pomeron exchange and $σ$ exchange. The predicted total and differential cross sections of $J/ψ$ photoproduction are within the range of the data from the GlueX and $J/ψ$-$007$ experiments. It is found that the $σ$ exchange plays a crucial role for determining the very near threshold cross section. The total cross section gets enhanced due to the open-charm state rescattering in the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ production regions, and is of order 1 nb.