Kaon-induced production of strange hidden-charm molecular pentaquarks $P^Λ_{ψs}$ from proton
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| Format: | Preprint |
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2025
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| _version_ | 1866912475241250816 |
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| author | Chen, Shu Zhu, Jun-Tao Kong, Shu-Yi He, Jun |
| author_facet | Chen, Shu Zhu, Jun-Tao Kong, Shu-Yi He, Jun |
| contents | In this work, we investigate the kaon-induced production of strange hidden-charm pentaquark $P^Λ_{ψs}$ states, including the $P^Λ_{ψs}(4459)$ and $P^Λ_{ψs}(4338)$ observed by the LHCb collaboration. Coupled-channel interactions involving the channels $\bar{K}N$, $Ξ_c^{(*)}\bar{D}^{(*)}$, $Ξ'_c\bar{D}^{(*)}$, $Λ_c\bar{D}_s^{(*)}$, and $ΛJ/ψ$ are studied using effective Lagrangians to describe these interactions. The potential kernels are constructed within the one-boson-exchange model and implemented into the quasipotential Bethe-Salpeter equation to calculate the scattering amplitudes. From these amplitudes, the partial-wave cross sections for kaon-induced production are predicted alongside the poles corresponding to strange hidden-charm molecular pentaquarks. The analysis reveals complex structures in the cross sections due to molecular states. A structure near the $Ξ_c\bar{D}$ threshold is predicted in the $Λ_c\bar{D}_s$ channel, corresponding to $P^Λ_{ψs}(4338)$. Both molecular states near the $Ξ_c\bar{D}^*$ threshold with $J^P = 1/2^-$ and $J^P = 3/2^-$, associated with $P^Λ_{ψs}(4459)$, produce peaks in the $Ξ'_c\bar{D}$ channel, which vary significantly with the cutoff. Additionally, a molecular state with $J^P = 3/2^-$ near the $Ξ_c^*\bar{D}$ threshold gives rise to a peak in the $Ξ_c\bar{D}^*$ channel. In the higher energy region, from 4350 to 4550 MeV, although the cross sections in the $Λ_c\bar{D}_s^{(*)}$ channels are substantial, no distinct structures corresponding to strange hidden-charm pentaquarks are identified, apart from some threshold-related cusps. These results provide valuable theoretical insights and serve as a foundation for future experimental studies of strange hidden-charm pentaquarks using kaon beams at J-PARC and JLab. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_09914 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kaon-induced production of strange hidden-charm molecular pentaquarks $P^Λ_{ψs}$ from proton Chen, Shu Zhu, Jun-Tao Kong, Shu-Yi He, Jun High Energy Physics - Phenomenology In this work, we investigate the kaon-induced production of strange hidden-charm pentaquark $P^Λ_{ψs}$ states, including the $P^Λ_{ψs}(4459)$ and $P^Λ_{ψs}(4338)$ observed by the LHCb collaboration. Coupled-channel interactions involving the channels $\bar{K}N$, $Ξ_c^{(*)}\bar{D}^{(*)}$, $Ξ'_c\bar{D}^{(*)}$, $Λ_c\bar{D}_s^{(*)}$, and $ΛJ/ψ$ are studied using effective Lagrangians to describe these interactions. The potential kernels are constructed within the one-boson-exchange model and implemented into the quasipotential Bethe-Salpeter equation to calculate the scattering amplitudes. From these amplitudes, the partial-wave cross sections for kaon-induced production are predicted alongside the poles corresponding to strange hidden-charm molecular pentaquarks. The analysis reveals complex structures in the cross sections due to molecular states. A structure near the $Ξ_c\bar{D}$ threshold is predicted in the $Λ_c\bar{D}_s$ channel, corresponding to $P^Λ_{ψs}(4338)$. Both molecular states near the $Ξ_c\bar{D}^*$ threshold with $J^P = 1/2^-$ and $J^P = 3/2^-$, associated with $P^Λ_{ψs}(4459)$, produce peaks in the $Ξ'_c\bar{D}$ channel, which vary significantly with the cutoff. Additionally, a molecular state with $J^P = 3/2^-$ near the $Ξ_c^*\bar{D}$ threshold gives rise to a peak in the $Ξ_c\bar{D}^*$ channel. In the higher energy region, from 4350 to 4550 MeV, although the cross sections in the $Λ_c\bar{D}_s^{(*)}$ channels are substantial, no distinct structures corresponding to strange hidden-charm pentaquarks are identified, apart from some threshold-related cusps. These results provide valuable theoretical insights and serve as a foundation for future experimental studies of strange hidden-charm pentaquarks using kaon beams at J-PARC and JLab. |
| title | Kaon-induced production of strange hidden-charm molecular pentaquarks $P^Λ_{ψs}$ from proton |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2501.09914 |