P_c(4312), P_c(4440), and P_c(4457) productions in e⁺ e^- collisions

2026/07/17 by Quan-Yun Guo, Dian-Yong Chen
#hep-ph

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Abstract

In the present work, we propose to investigate the productions of P_c(4312), P_c(4440), and P_c(4457) in the e⁺ e^- → p p J/ψ process. By using an effective Lagrangian approach, we estimate the cross section for the processes under consideration. For the e⁺ e^- → p P_c(4312), e⁺ e^- → p P_c(4440), and e⁺ e^- → p P_c(4457) processes, the cross sections are evaluated to be (46.6^+88.4_-34.5) fb, (57.4⁺¹⁰⁹_-42.5) fb, and (55.1⁺¹⁰⁵_-40.8) fb at √(s)=6 GeV, respectively, where the central values are estimated with Λ_r=3.0 GeV, and the uncertainties are resulted from the variations of Λ_r from 2.5 to 3.5 GeV. Considering that the P_c states can decay into J/ψp, we estimate the cross sections for e⁺ e^- → p p J/ψ and the differential cross sections depending on the J/ψp invariant mass. At √(s)=6 GeV, the cross sections for e⁺ e^- → p p J/ψ are estimated to be (34.6^+68.0_-26.0) fb. Moreover, our estimations indicate that the cross section resulted from the P_c(4457) and P_c(4457) intermediate states is dominant. In the J/ψp invariant mass spectrum, a splitting signal can be observed around 4.45 GeV, with the two peaks corresponding to P_c(4440) and P_c(4457).

Citations

• Hadronic molecules

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