Electromagnetic properties of the $T_{cc}^{+}$ molecular states

In this work, we discuss the electromagnetic properties of the $S$-wave and $D$-wave $T_{cc}^{+}$ molecular states, which include the magnetic moments, transition magnetic moments, and radiative decay widths. According to our results, the magnetic moment of $T_{cc}^{+}$ state observed experimentally is $-0.09{\mu }_N$. Meanwhile, we also discuss the relations between the transition magnetic moments of the $S$-wave $T_{cc}^{+}$ molecular states and the radiative decay widths, and we analyze the proportionality between the magnetic moments of the $T_{cc}^{+}$ molecular states. These results provide further information on the inner structure of $T_{cc}^{+}$ molecular states and deepen the understanding of electromagnetic properties of doubly charmed tetraquarks.