Magnetic dipole moments of the ${T}_{cc}^{+}$ and ${Z}_{V}^{++}$ tetraquark states

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 ${\mu }_{{T}_{cc}^{+}-Di}={0.66}_{-0.23}^{+0.34}\text{}\text{}{\mu }_{N}$, ${\mu }_{{T}_{cc}^{+}-\mathrm{Mol}}={0.43}_{-0.22}^{+0.23}\text{}\text{}{\mu }_{N}$ and ${\mu }_{{Z}_{V}^{++}}={3.35}_{-0.73}^{+0.89}\text{}\text{}{\mu }_{N}$. These results may be checked via other phenomenological approaches. The obtained results may be useful in exact determinations of the natures of these states.