D-wave excited tetraquark states with and * *Supported by the National Natural Science Foundation of China (12175318), the National Key R & D Program of China (2020YFA0406400), the Natural Science Foundation of Guangdong Province of China (2022A1515011922), and the Fundamental Research Funds for the Central Universities

Abstract

We study the mass spectra of D-wave excited tetraquark states with and in both symmetric and antisymmetric color configurations using the QCD sum rule method. We construct the D-wave diquark-antidiquark type of tetraquark interpolating currents in various excitation structures with . Our results support the interpretation of the recently observed resonance as a D-wave tetraquark state with in the or excitation mode, although some other possible excitation structures cannot be excluded exhaustively within theoretical errors. Moreover, our results provide the mass relations and for the positive and negative -parity D-wave tetraquarks, respectively. We suggest searching for these possible D-wave tetraquarks in both the hidden-charm channels and , as well as open-charm channels such as and .