Analysis of the doubly-charmed tetraquark molecular states with the QCD sum rules

Abstract

In the present work, we investigate the scalar, axialvector and tensor doubly-charmed tetraquark molecular states without strange, with strange and with doubly-strange via the QCD sum rules, and try to make assignment of the $T_{cc}^{+}$ from the LHCb collaboration in the scenario of molecular states. The predictions favor assigning the $T_{cc}^{+}$ to be the lighter $D{D}^{\ast }$ molecular state with the spin-parity $J^P=1^{+}$ and isospin $I=0$, while the heavier $D{D}^{\ast }$ molecular state with the spin-parity $J^P=1^{+}$ and isospin $I=1$ still escapes experimental detections, the observation of the heavier $D{D}^{\ast }$ molecular state would shed light on the nature of the $T_{cc}^{+}$. All the predicted doubly-charmed tetraquark molecular states can be confronted to the experimental data in the future.

Comments: 15 pages, 3 figures. arXiv admin note: text overlap with arXiv:2012.11869