We systematically study hidden-charm pentaquark currents with the quark configurations \([\bar{c} u][u d c]\), \([\bar{c} d][u u c]\), and \([\bar{c} c][u u d]\). Some of their relations are derived using the Fierz rearrangement of the Dirac and color indices, and the obtained results are used to study strong decay properties of \(P_c\) states as \(\bar{D}^{(*)} \varSigma _c\) hadronic molecules. We calculate their relative branching ratios for the \(J/\psi p\), \(\eta _c p\), \(\chi _{c0} p\), \(\chi _{c1} p\), \(\bar{D}^{(*)0} \varLambda _c^+\), \(\bar{D}^{0} \varSigma _c^{+}\), and \(\bar{D}^{-} \varSigma _c^{++}\) decay channels. We propose to search for the \(P_c(4312)\) in the \(\eta _c p\) channel and the \(P_c(4440)/P_c(4457)\) in the \(\bar{D}^{0} \varLambda _c^+\) channel.

我们系统地研究了夸克配置\（[\ bar {c} u] [udc] \），\（[\ bar {c} d] [uuc] \）和\（[\ bar {c} c] [uud] \）。它们的某些关系是使用Dirac的Fierz重排和颜色索引导出的，所得结果用于研究\（P_c \）状态的强衰减特性，如\（\ bar {D} ^ {（*）} \ varSigma强子分子。我们针对\（J / \ psi p \），\（\ eta _c p \），\（\ chi _ {c0} p \），\（\ chi _ {c1} p \）计算它们的相对分支比率，\（\ bar {D} ^ {（*）0} \ varLambda _c ^ + \），\（\ bar {D} ^ {0} \ varSigma _c ^ {+} \）和\（\ bar {D} ^ {-} \ varSigma _c ^ {++} \）衰减通道。我们建议在\（\ eta _c p \）通道中搜索\（P_c（4312）\），并在\（\ bar {D} ^}中搜索\（P_c（4440）/ P_c（4457）\）。{0} \ varLambda _c ^ + \）通道。