Stimulated by the newly reported doubly charmed tetraquark state $T_{cc}^{+}$ by LHCb, we carry out a systematic investigation of the $S$-wave interactions between the charmed meson ($D$, $D^{*}$) in $H$-doublets and the charmed meson ($D_1$, $D_2^{*}$) in $T$-doublets by adopting the one-boson exchange model. Both the $S$-$D$ wave mixing effect and the coupled channel effect are taken into account. By performing a quantitative calculation, we suggest that the $S$-wave $D^{*}{D}_1$ states with $I(J^P)=0(0^{-},1^{-})$ and the $S$-wave $D^{*}{D}_2^{*}$ states with $I(J^P)=0(1^{-},2^{-})$ should be viewed as the most promising candidates of the doubly charmed molecular tetraquark states, and the $S$-wave $D{D}_1$ state with $I(J^P)=0(1^{-})$ and the $S$-wave $D{D}_2^{*}$ state with $I(J^P)=0(2^{-})$ are the possible doubly charmed molecular tetraquark candidates. With the accumulation of experimental data at Run III and after a High-Luminosity LHC upgrade, these predicted doubly charmed molecular tetraquark states can be accessible at LHCb in the near future.

• Received 23 August 2021
• Accepted 18 October 2021

DOI:https://doi.org/10.1103/PhysRevD.104.094030

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Published by the American Physical Society