Kaon-induced production of strange hidden-charm molecular pentaquarks $$P^\varLambda _{\psi s}$$ P ψ s Λ from proton

Abstract In this work, we investigate the kaon-induced production of strange hidden-charm pentaquark $$P^\varLambda _{\psi s}$$ P ψ s Λ states, including the $$P^\varLambda _{\psi s}(4459)$$ P ψ s Λ ( 4459 ) and $$P^\varLambda _{\psi s}(4338)$$ P ψ s Λ ( 4338 ) observed by the LHCb collaboration. Co...

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Bibliographic Details
Main Authors: Shu Chen, Jun-Tao Zhu, Shu-Yi Kong, Jun He
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14220-y
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Summary:Abstract In this work, we investigate the kaon-induced production of strange hidden-charm pentaquark $$P^\varLambda _{\psi s}$$ P ψ s Λ states, including the $$P^\varLambda _{\psi s}(4459)$$ P ψ s Λ ( 4459 ) and $$P^\varLambda _{\psi s}(4338)$$ P ψ s Λ ( 4338 ) observed by the LHCb collaboration. Coupled-channel interactions involving the channels $$\bar{K}N$$ K ¯ N , $$\varXi _c^{(*)}\bar{D}^{(*)}$$ Ξ c ( ∗ ) D ¯ ( ∗ ) , $$\varXi '_c\bar{D}^{(*)}$$ Ξ c ′ D ¯ ( ∗ ) , $$\varLambda _c\bar{D}_s^{(*)}$$ Λ c D ¯ s ( ∗ ) , and $$\varLambda J/\psi $$ Λ J / 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 $$\varXi _c\bar{D}$$ Ξ c D ¯ threshold is predicted in the $$\varLambda _c\bar{D}_s$$ Λ c D ¯ s channel, corresponding to $$P^\varLambda _{\psi s}(4338)$$ P ψ s Λ ( 4338 ) . Both molecular states near the $$\varXi _c\bar{D}^*$$ Ξ c D ¯ ∗ threshold with $$J^P = 1/2^-$$ J P = 1 / 2 - and $$J^P = 3/2^-$$ J P = 3 / 2 - , associated with $$P^\varLambda _{\psi s}(4459)$$ P ψ s Λ ( 4459 ) , produce peaks in the $$\varXi '_c\bar{D}$$ Ξ c ′ D ¯ channel, which vary significantly with the cutoff. Additionally, a molecular state with $$J^P = 3/2^-$$ J P = 3 / 2 - near the $$\varXi _c^*\bar{D}$$ Ξ c ∗ D ¯ threshold gives rise to a peak in the $$\varXi _c\bar{D}^*$$ Ξ c D ¯ ∗ channel. In the higher energy region, from 4350 to 4550 MeV, although the cross sections in the $$\varLambda _c\bar{D}_s^{(*)}$$ Λ c 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.
ISSN:1434-6052