We investigate hidden charm pentaquark states using an off-shell coupled-channel formalism involving heavy meson and singly heavy baryon scattering. Our approach utilizes an effective Lagrangian to construct the kernel amplitudes, which respect both heavy quark symmetry and hidden local symmetry. After solving the coupled integral equations, we obtain the transition amplitudes for 𝐽/𝜓⁢𝑁 scattering and various heavy meson and singly heavy baryon scattering processes. We identify seven distinct peaks related to molecular states of heavy mesons ¯𝐷 (¯𝐷*) and singly heavy baryons Σ𝑐 (Σ*𝑐). Four of these peaks can be associated with the known 𝑃𝑐⁢¯𝑐 states: 𝑃𝑐⁢¯𝑐⁡(4312), 𝑃𝑐⁢¯𝑐⁡(4380), 𝑃𝑐⁢¯𝑐⁡(4440), and 𝑃𝑐⁢¯𝑐⁡(4457). We predict two additional resonances with masses around 4.5 GeV, which we interpret as ¯𝐷*⁢Σ*𝑐 molecular states, and identify one cusp structure. Additionally, we predict two 𝑃-wave pentaquark states with positive parity, which may be candidates for genuine pentaquark configurations. Notably, these pentaquark states undergo significant modifications in the 𝐽/𝜓⁢𝑁 elastic channel, with some even disappearing due to interference from the positive parity channel. The present investigation may provide insight into the absence of pentaquark states in 𝐽/𝜓 photoproduction observed by the GlueX Collaboration.

中文翻译：

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隐藏的魅力五泉国的制作机制Pc ̄c


我们使用涉及重介子和单重子散射的脱壳耦合通道形式研究隐藏魅力五大体态。我们的方法利用有效的拉格朗日来构造核振幅，它既尊重重夸克对称性，也尊重隐藏局部对称性。求解耦合积分方程后，我们得到了 J/ψN 散射和各种重介子和单重子散射过程的跃迁幅度。我们鉴定了与重介子 ̄D （ ̄D*） 和单重子 Σc （Σ*c） 的分子状态相关的七个不同峰。其中四个峰可以与已知的 Pc ̄c 状态相关联：Pc ̄c（4312）、Pc ̄c（4380）、Pc ̄c（4440） 和 Pc ̄c（4457）。我们预测了质量在 4.5 GeV 左右的另外两个共振，我们将其解释为 ̄D*Σ*c 分子状态，并确定了一个尖头结构。此外，我们预测了两种具有正奇偶性的 P 波五肽态，这可能是真正的五肽构型的候选者。值得注意的是，这些五谷态在 J/ψN 弹性通道中发生了重大变化，有些甚至由于正奇偶性通道的干扰而消失。目前的调查可能有助于深入了解 GlueX Collaboration 观察到的 J/ψ 光产生中五肽态的缺失。