Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet

Abstract

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 ($D,D^{\ast }$) in $H$-doublet and the charmed meson ($D_1,D_2^{\ast }$) in $T$-doublet 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 $D^{\ast }{D}_1$ states with $I(J^P)=0(0^{-},1^{-})$ and the $S$-wave $D^{\ast }{D}_2^{\ast }$ state with $I(J^P)=0(1^{-})$ should be viewed as the most promising candidates of the doubly-charmed molecular tetraquark states, and the $S$-wave $D{D}_1$ state with $I(J^P)=0(1^{-})$, the $S$-wave $D{D}_2^{\ast }$ state with $I(J^P)=0(2^{-})$, and the $S$-wave $D^{\ast }{D}_2^{\ast }$ 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 High-Luminosity-LHC upgrade, these predicted doubly-charmed molecular tetraquark states can be accessible at LHCb in the near future.

Comments: 13 pages, 9 tables and 3 figures