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

TL;DR

This study calculates the magnetic dipole moments of the $T_{cc}^+$ and $Z_V^{++}$ tetraquark states using light-cone QCD, providing insights into their internal structures and aiding their identification.

Contribution

It presents the first theoretical calculation of the magnetic dipole moments for these specific tetraquark states in both diquark-antidiquark and molecular models.

Findings

$ ext{μ}_{T_{cc}^+-Di} = 0.66^{+0.34}_{-0.23}~ ext{μ}_N$

$ ext{μ}_{T_{cc}^+-Mol} = 0.43^{+0.23}_{-0.22}~ ext{μ}_N$

$ ext{μ}_{Z_{V}^{++}} = 3.35^{+0.89}_{-0.73}~ ext{μ}_N$

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.