Electromagnetic properties of vector doubly charmed tetraquark states

Abstract

We conduct a systematic study of the electromagnetic properties of multiquark systems with undetermined internal structures. Motivated by the recent observation of the $T_{cc}^+$ state, we apply the light-cone version of the QCD sum rule method to extract the magnetic dipole moments of several possible doubly-charmed vector tetraquark states. When analyzing the magnetic dipole moment of these states, they are modeled to have the diquark-antidiquark configurations. The magnetic dipole moments for the members are extracted as $ \mu_{T_{cc \bar{u} \bar{d}}} = 1.17^{+0.44}_{-0.32} \, \mu_N$, $ \mu_{T_{cc \bar{u} \bar{s}}} = 1.35^{+0.50}_{-0.37} \, \mu_N$, $ \mu_{T_{cc \bar{d} \bar{s}}} = -2.69^{+1.02}_{-0.75} \, \mu_N$, $ \mu_{T_{cc \bar{u} \bar{u}}} = 1.33^{+0.56}_{-0.40} \, \mu_N$, $ \mu_{T_{cc \bar{d} \bar{d}}} = 1.41^{+0.57}_{-0.43} \, \mu_N$ and $ \mu_{T_{cc \bar{s} \bar{s}}} = 1.44^{+0.53}_{-0.41} \, \mu_N$. Comparing the results obtained for the magnetic dipole moments of the $T_{cc \bar{u} \bar{d}}$ state with the $T_{cc \bar{u} \bar{s}}$ state, the $U$-symmetry is seen to be broken at about $\%15$, while for the $T_{cc \bar{d} \bar{d}}$ and $T_{cc \bar{s} \bar{s}}$ states, this symmetry is minimally broken. The obtained results may be useful to determine the true nature of these new interesting states.