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Magnetic dipole moments of the ${Z}_{c}\left(4020{\right)}^{+}$, ${Z}_{c}\left(4200{\right)}^{+}$, ${Z}_{cs}\left(4000{\right)}^{+}$ and ${Z}_{cs}\left(4220{\right)}^{+}$ states in light-cone QCD

2021    Özdem, Ulaş; Yıldırım, Ayşe Karadeniz

The magnetic dipole moments of the ${Z}_{c}\left(4020{\right)}^{+}$, ${Z}_{c}\left(4200{\right)}^{+}$, ${Z}_{cs}\left(4000{\right)}^{+}$ and ${Z}_{cs}\left(4220{\right)}^{+}$ states are extracted in the framework of the light-cone QCD sum rules. In the calculations, we use the hadronic molecular form of interpolating currents and photon distribution amplitudes to get the magnetic dipole moments of the ${Z}_{c}\left(4020{\right)}^{+}$, ${Z}_{c}\left(4200{\right)}^{+}$, ${Z}_{cs}\left(4000{\right)}^{+}$ and ${Z}_{cs}\left(4220{\right)}^{+}$ tetraquark states. The magnetic dipole moments are obtained as ${\mu }_{{Z}_{c}}=0.6{6}_{-0.25}^{+0.27}$, ${\mu }_{{Z}_{c}^{1}}=1.0{3}_{-0.29}^{+0.32}$, ${\mu }_{{Z}_{cs}}=0.7{3}_{-0.26}^{+0.28}$ and ${\mu }_{{Z}_{cs}^{1}}=0.7{7}_{-0.25}^{+0.27}$ for the ${Z}_{c}\left(4020{\right)}^{+}$, ${Z}_{c}\left(4200{\right)}^{+}$, ${Z}_{cs}\left(4000{\right)}^{+}$ and ${Z}_{cs}\left(4220{\right)}^{+}$ states, respectively. We observe that the results obtained for the ${Z}_{c}\left(4020{\right)}^{+}$, ${Z}_{c}\left(4200{\right)}^{+}$, ${Z}_{cs}\left(4000{\right)}^{+}$ and ${Z}_{cs}\left(4220{\right)}^{+}$ states are large enough to be measured experimentally. As a by product, we predict the magnetic dipole moments of the neutral ${Z}_{cs}\left(4000\right)$ and ${Z}_{cs}\left(4220\right)$ states. The results presented here can serve to be helpful knowledge in experimental as well as theoretical studies of the properties of hidden-charm tetraquark states with and without strangeness.