Strong decays of the fully charmed tetraquark states with explicit <i>P</i>-waves via QCD sum rules*

Abstract We introduce a relative P -wave to construct the doubly charmed diquark vector. Therefore, scalar and tensor four-quark currents were constructed to investigate the decay widths of the fully charmed tetraquark states with , and via quantum chromodynamics (QCD) sum rules. We observed that the total width of the ground state -type scalar tetraquark state is compatible with that of the within uncertainties, and the branching ratios are quite different from that of the first radial excitation of the -type scalar tetraquark state. Other predictions can be verified in future experiments to shed light on the nature of the fully charmed tetraquark states.