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Doubly heavy tetraquark states are the prime candidates for tightly boundexotic states. We present a systematic study of the mass spectra of the$S$-wave doubly heavy tetraquark states $QQ\bar{q}\bar{q}$ ($q=u, d, s$ and$Q=c, b$) with different quantum numbers $J^P=0^+$, $1^+$, and $2^+$ in theframework of the improved chromomagnetic interaction (ICMI) model. Theparameters in the ICMI model are obtained by fitting the conventional hadronspectra and are used directly to predict the masses of the tetraquark states.For heavy quarks, the uncertainties of the parameters are obtained by comparingthe masses of doubly and triply heavy baryons with those given by lattice QCD,QCD sum rules, and potential models. Several compact and stable bound statesare found in both the doubly charmed and doubly bottomed tetraquark systems.The predicted mass of the $cc\bar u\bar d$ state is consistent with the recentmeasurement from the LHCb collaboration.

Mass spectra of doubly heavy tetraquarks in an improved chromomagnetic interaction model