In this work, we systematically calculate the spectrum of hidden-charm pentaquark states $qqqc\overline{c}(q=u,d)$ in the chiral SU(3) quark model, which has been quite successful in reproducing consistently the energies of octet and decuplet baryon ground states, the binding energy of deuteron, and the nucleon-nucleon scattering phase shifts and mixing parameters for partial waves with total angular momentum up to $J=6$. The Hamiltonian contains the kinetic energy of the system, the confinement potential, the one-gluon-exchange (OGE) potential, and the one-boson-exchange potential stemming from the coupling of quark and chiral fields. We solve the Schrödinger equation by use of the variational method. It is found that the masses of all the experimentally observed $P_c\left(4312\right)$, $P_c\left(4380\right)$, $P_c\left(4440\right)$, and $P_c\left(4457\right)$ states are much overestimated, indicating that these states are not compact pentaquark states in the chiral SU(3) quark model. All other $qqqc\overline{c}(q=u,d)$ states are found to lie much above the corresponding baryon-meson thresholds and thus are not suggested as stable pentaquark states due to their fall-apart decays. A detailed comparison of the results with those obtained in the OGE model and the chromomagnetic interaction model is further given.

中文翻译：

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手性 SU(3) 夸克模型中的隐魅五夸克态 qqcć(q=u,d)

在这项工作中，我们系统地计算了隐藏魅力五夸克态的光谱$qqqC\stackrel{￣}{C}（q=你,d）$在手性 SU(3) 夸克模型中，该模型在一致地再现八重态和十重重子基态的能量、氘核的结合能以及核子-核子散射相移和部分波的混合参数方面非常成功。角动量高达$J=6$。哈密​​顿量包含系统的动能、限制势、一胶子交换势（OGE）以及源自夸克和手性场耦合的一玻色子交换势。我们使用变分法求解薛定谔方程。发现所有实验观察到的质量${磷}_C（4312）$,${磷}_C（4380）$,${磷}_C（4440）$， 和${磷}_C（4457）$态被高估了，表明这些态不是手性 SU(3) 夸克模型中的致密五夸克态。所有其他$qqqC\stackrel{￣}{C}（q=你,d）$人们发现这些态远高于相应的重子-介子阈值，因此由于它们的衰变，不建议将其视为稳定的五夸克态。进一步将结果与OGE模型和色磁相互作用模型中获得的结果进行了详细比较。