标题： 隐藏魅态五夸克态的产生机制 $P_{c\bar{c}}$ 显示英文标题

标题： Production mechanism of the hidden charm pentaquark states $P_{c\bar{c}}$

摘要： 我们使用涉及重介子和单重重子散射的非壳耦合通道形式来研究隐藏魅味五夸克态。 我们的方法利用有效拉格朗日量来构建满足重夸克对称性和隐藏局部对称性的核幅。 在求解耦合积分方程后，我们得到了$J/\psi N$散射以及各种重介子和单重重子散射过程的转变幅。 我们识别出与重介子$\bar{D}$($\bar{D}^*$) 和单重重子$\Sigma_c$($\Sigma_c^*$) 分子态相关的七个显著峰。 这四个峰可以与已知的$P_{c\bar{c}}$状态相关联：$P_{c\bar{c}}(4312)$，$P_{c\bar{c}}(4380)$，$P_{c\bar{c}}(4440)$和$P_{c\bar{c}}(4457)$。我们预测两个质量约为4.5 GeV的额外共振，我们将其解释为$\overline{D}^* \Sigma_c^*$分子态，并识别一个尖点结构。此外，我们预测两个$P$波五夸克态，具有正宇称，这可能是真实五夸克构型的候选者。 值得注意的是，这些五夸克态在$J/\psi N$弹性通道中经历了显著的修改，一些甚至由于正宇称通道的干涉而消失。目前的研究可能为GlueX合作组在$J/\psi$光致生产中未观察到五夸克态提供见解。 显示英文摘要

摘要： 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 $J/\psi N$ scattering and various heavy meson and singly heavy baryon scattering processes. We identify seven distinct peaks related to molecular states of heavy mesons $\bar{D}$ ($\bar{D}^*$) and singly heavy baryons $\Sigma_c$ ($\Sigma_c^*$). Four of these peaks can be associated with the known $P_{c\bar{c}}$ states: $P_{c\bar{c}}(4312)$, $P_{c\bar{c}}(4380)$, $P_{c\bar{c}}(4440)$, and $P_{c\bar{c}}(4457)$. We predict two additional resonances with masses around 4.5 GeV, which we interpret as $\overline{D}^* \Sigma_c^*$ 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 $J/\psi N$ 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 $J/\psi$ photoproduction observed by the GlueX collaboration.