Pc(4312), Pc(4440), and Pc(4457) productions in e+ e− collisions
Abstract
In the present work, we propose to investigate the productions of Pc(4312), Pc(4440), and Pc(4457) in the e+ e− → p p̅ J/ψ process by utilizing an effective Lagrangian approach, where Pc(4312) is considered as Σc D̅ molecular state with JP=1/2−, while Pc(4440) and Pc(4457) are considered as Σc D̅∗ molecular states with JP=1/2− and JP=3/2−, respectively. For the e+ e− → p̅ Pc(4312), e+ e− → p̅ Pc(4440), and e+ e− → p̅ Pc(4457) processes, the cross sections are evaluated to be (27.8+42.2−17.9) fb, (38.7+58.6−25.1) fb, and (1.44+2.18−0.93) fb at √s=6 GeV, respectively, where the central values are estimated with Λr=2.5 GeV, and the uncertainties are resulted from the variations of Λr from 2.0 to 3.0 GeV. Considering that the Pc states can decay into J/ψp, we estimate the cross sections for e+ e− → p p̅ 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 p̅ J/ψ are estimated to be (14.7+22.2−9.50) fb. Moreover, our estimations indicate that the cross section resulted from the Pc(4440) and P̅c(4440) intermediate states is dominant. In the J/ψp invariant mass spectrum, our estimations reveal that the peak structure between 4.42 and 4.46 GeV primarily originates from Pc(4440).
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BibTeX
@misc{guo2026pc4312,
title = {{$P_c(4312)$, $P_c(4440)$, and $P_c(4457)$ productions in $e^+ e^-$ collisions}},
author = {Quan-Yun Guo and Dian-Yong Chen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.16041},
eprint = {2607.16041},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.16041},
}
RIS
TY - UNPB
TI - P_c(4312), P_c(4440), and P_c(4457) productions in e^+ e^− collisions
AU - Quan-Yun Guo
AU - Dian-Yong Chen
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2607.16041
UR - https://arxiv.org/abs/2607.16041
AB - 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 p̅ J/ψ process by utilizing an effective Lagrangian approach, where P_c(4312) is considered as Σ_c D̅ molecular state with J^P=1/2^−, while P_c(4440) and P_c(4457) are considered as Σ_c D̅^∗ molecular states with J^P=1/2^− and J^P=3/2^−, respectively. For the e^+ e^− → p̅ P_c(4312), e^+ e^− → p̅ P_c(4440), and e^+ e^− → p̅ P_c(4457) processes, the cross sections are evaluated to be (27.8^+42.2_−17.9) fb, (38.7^+58.6_−25.1) fb, and (1.44^+2.18_−0.93) fb at √s=6 GeV, respectively, where the central values are estimated with Λ_r=2.5 GeV, and the uncertainties are resulted from the variations of Λ_r from 2.0 to 3.0 GeV. Considering that the P_c states can decay into J/ψp, we estimate the cross sections for e^+ e^− → p p̅ 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 p̅ J/ψ are estimated to be (14.7^+22.2_−9.50) fb. Moreover, our estimations indicate that the cross section resulted from the P_c(4440) and P̅_c(4440) intermediate states is dominant. In the J/ψp invariant mass spectrum, our estimations reveal that the peak structure between 4.42 and 4.46 GeV primarily originates from P_c(4440).
ER -