Magnetic moments of the doubly charged axial-vector ${T}_{cc}^{++}$ states

Motivated by the discovery of the doubly charmed state ${T}_{cc}^{+}$ and with the help of light-cone sum rules, the magnetic moments of possible ${T}_{cc}^{++}$ states are calculated. While calculating the magnetic moments of these states, these particles are considered in the molecular picture and they have ${J}^{P}={1}^{+}$ quantum numbers. The magnetic moment results obtained for the ${T}_{cc}^{++}$ states are large due to the double electric charge. The results obtained in this study can be checked using other theoretical models. The magnetic moments of the hadrons reveal valuable knowledge about the size and the shape of the hadrons. Measurement of the magnetic moment of the ${T}_{cc}^{++}$ states in future experimental collaborations can be very useful to understanding substructure and identification the quantum numbers of these states.