发表机构
School of Physics, Southeast University; Lanzhou Center for Theoretical Physics, Lanzhou University（东南大学物理学院; 兰州大学理论物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究正负电子碰撞中\(P_{c}(4312)\)、\(P_{c}(4440)\)和\(P_{c}(4457)\)产生，用有效拉格朗日方法估计相关过程截面，给出不同过程在\(\sqrt{s}=6\) GeV时的截面数据及\(J/\psi p\)不变质量谱情况。
AI 中文摘要
在本工作中，我们提议研究在\(e^{+} e^{-} \rightarrow p \bar{p} J/\psi\)过程中\(P_{c}(4312)\)、\(P_{c}(4440)\)和\(P_{c}(4457)\)的产生。通过使用有效拉格朗日方法，我们估计了所考虑过程的截面。对于\(e^{+} e^{-} \rightarrow \bar{p} P_{c}(4312)\)、\(e^{+} e^{-} \rightarrow \bar{p} P_{c}(4440)\)和\(e^{+} e^{-} \rightarrow \bar{p} P_{c}(4457)\)过程，在\(\sqrt{s}=6\) GeV时，截面分别评估为\((46.6^{+88.4}_{-34.5})\) fb、\((57.4^{+109}_{-42.5})\) fb和\((55.1^{+105}_{-40.8})\) fb。考虑到\(P_{c}\)态可衰变为\(J/\psi p\)，我们估计了\(e^{+} e^{-} \rightarrow p \bar{p} J/\psi\)的截面以及依赖于\(J/\psi p\)不变质量的微分截面。在\(\sqrt{s}=6\) GeV时，\(e^{+} e^{-} \rightarrow p \bar{p} J/\psi\)的截面估计为\((34.6^{+68.0}_{-26.0})\) fb。此外，我们的估计表明由\(P_{c}(4457)\)和\(\bar{P}_{c}(4457)\)中间态产生的截面占主导。在\(J/\psi p\)不变质量谱中，可在4.45 GeV左右观察到一个分裂信号，两个峰对应于\(P_{c}(4440)\)和\(P_{c}(4457)\)。
英文摘要
In the present work, we propose to investigate the productions of $P_{c}(4312)$, $P_{c}(4440)$, and $P_{c}(4457)$ in the $e^{+} e^{-} \rightarrow p \bar{p} J/ψ$ process by utilizing an effective Lagrangian approach, where $P_{c}(4312)$ is considered as $Σ_{c} \bar{D}$ molecular state with $J^{P}=1/2^{-}$, while $P_{c}(4440)$ and $P_{c}(4457)$ are considered as $Σ_{c} \bar{D}^{\ast}$ molecular states with $J^{P}=1/2^{-}$ and $J^{P}=3/2^{-}$, respectively. For the $e^{+} e^{-} \rightarrow \bar{p} P_{c}(4312)$, $e^{+} e^{-} \rightarrow \bar{p} P_{c}(4440)$, and $e^{+} e^{-} \rightarrow \bar{p} P_{c}(4457)$ 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 $\sqrt{s}=6$ 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 $e^{+} e^{-} \rightarrow p \bar{p} J/ψ$ and the differential cross sections depending on the $J/ψp$ invariant mass. At $\sqrt{s}=6$ GeV, the cross sections for $e^{+} e^{-} \rightarrow p \bar{p} J/ψ$ 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 $\bar{P}_{c}(4440)$ 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 $P_{c}(4440)$.
