Magnetic dipole moments of the $T_{cc}^+$ and $Z_V^{++}$ tetraquark states

Abstract

Inspired by the observation of the doubly charmed state $T_{cc}$ and following theoretical studies on its spectroscopic parameters, we investigate its magnetic dipole moment assigning it the quantum numbers $J^P=1^+$ and both the compact diquark-antidiquark and molecular structures in the framework of the light-cone QCD. We also calculate the magnetic dipole moment of the theoretically predicted singly charmed state, $Z_V^{++}$, with two units of electric charge and the quantum numbers $J^P=1^-$ in diquark-antidiquark picture. The numerical results are obtained as $\mu_{T_{cc}^+-Di} =0.66^{+0.34}_{-0.23}~\mu_N$, $ \mu_{T_{cc}^+-Mol} =0.43^{+0.23}_{-0.22}~\mu_N $ and $\mu_{Z_{V}^{++}} =3.35^{+0.89}_{-0.73} ~\mu_N$. These results may be checked via other phenomenological approaches. The obtained results may be useful in exact determinations of the natures of these states.