Inspired by the observation of the doubly charmed tetraquark state Tcc+ at the LHCb Collaboration, we systematically study the S-wave interactions between a pair of charmed mesons (D1,D2⁎) in the T-doublet, where we adopt the one-boson-exchange model and consider both the S-D wave mixing and coupled channel effects. Our numerical results suggest that the prime doubly charmed molecular tetraquark candidates are the S-wave D1D1 state with I(JP)=0(1+), the S-wave D1D2⁎ states with I(JP)=0(1+,2+,3+), and the S-wave D2⁎D2⁎ states with I(JP)=0(1+,3+). The S-wave D1D1 state with I(JP)=1(2+), the S-wave D1D2⁎ state with I(JP)=1(3+), and the S-wave D2⁎D2⁎ state with I(JP)=1(4+) may be the possible isovector doubly charmed molecular tetraquark candidates. We expect the experiments like the LHCb or Belle II collaborations to search for these predicted doubly charmed molecular tetraquarks near the D1D1, D1D2⁎, and D2⁎D2⁎ thresholds in the future.
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