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The electromagnetic multipole moments of the open-flavor $Z_{\bar cq}$ statesare investigated by assuming a diquark-antidiquark picture for their internalstructure and quantum numbers $J^{PC} = 1^{+-}$ for their spin-parity. Inparticular, their magnetic and quadrupole moments are extracted in theframework of light-cone QCD sum rule by the help of the photon distributionamplitudes. The electromagnetic multipole moments of the open-flavor $Z_{\barcq}$ states are important dynamical observables, which encode valuableinformation on their underlying structure. The results obtained for themagnetic moments of different structures are considerably large and can bemeasured in future experiments. We obtain very small values for the quadrupolemoments of $Z_{\bar cq}$ states indicating a nonspherical charge distribution.

The electromagnetic multipole moments of the charged open-flavor $Z_{\bar cq}$ states