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

Comments: 8 Pages and 1 Figure