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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2410.10154 |
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| _version_ | 1866909347673538560 |
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| author | Zhang, Xu |
| author_facet | Zhang, Xu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10154 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pentaquarks $P_c$ in a dynamical coupled-channel approach of $γp \to J/ψp$ reaction Zhang, Xu High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory 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. |
| title | Pentaquarks $P_c$ in a dynamical coupled-channel approach of $γp \to J/ψp$ reaction |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2410.10154 |