In this work, we employ the light-cone QCD sum rule to calculate the magnetic dipole moments of the \(P_c(4440)\), \(P_c(4457)\) and \(P_{cs}(4459)\) pentaquark states by considering them as the diquark–diquark–antiquark and molecular pictures with quantum numbers \(J^P = \frac{3}{2}^-\), \(J^P = \frac{1}{2}^-\) and \(J^P = \frac{1}{2}^-\), respectively. In the analyses, we use the diquark–diquark–antiquark and molecular form of interpolating currents, and photon distribution amplitudes to obtain the magnetic dipole moment of pentaquark states. Theoretical examinations on magnetic dipole moments of the hidden-charm pentaquark states, are essential as their results can help us better figure out their substructure and the dynamics of the QCD as the theory of the strong interaction. As a by product, we extract the electric quadrupole and magnetic octupole moments of the \(P_c(4440)\) pentaquark. These values show a non-spherical charge distribution.

在这项工作中，我们采用光锥QCD和规则来计算\（P_c（4440）\），\（P_c（4457）\）和\（P_ {cs}（4459）\）的磁偶极矩五夸克状态通过将它们视为双夸克-双夸克-反夸克和具有量子数\（J ^ P = \ frac {3} {2} ^-\），\（J ^ P = \ frac {1} {2 } ^-\）和\（J ^ P = \ frac {1} {2} ^-\）， 分别。在分析中，我们使用双夸克-双夸克-反夸克和分子形式的内插电流，以及光子分布幅度来获得五夸克态的磁偶极矩。对于隐身五夸克态的磁偶极矩进行理论检验是必不可少的，因为其结果可以帮助我们更好地弄清其子结构和QCD的动力学（作为强相互作用的理论）。作为副产品，我们提取\（P_c（4440）\）五夸克的电四极矩和磁八极矩。这些值显示了非球形的电荷分布。