Predicting another doubly charmed molecular resonance $T_{cc}^{\prime +}(3876)$

Abstract

The isospin breaking effect plays an essential role in generating hadronic molecular states with a very tiny binding energy. Very recently, the LHCb Collaboration observed a very narrow doubly charmed tetraquark $T_{cc}^{+}$ in the $D^0{D}^0\ddot{I}€$ mass spectrum, which lies just below the $D^0{D}^{\ast +}$ threshold around 273 keV. In this work, we study the $D^0{D}^{\ast +}/D^{+}{D}^{\ast 0}$ interactions with the one-boson-exchange effective potentials and consider the isospin breaking effect carefully. We not only reproduce the mass of the newly observed $T_{cc}^{+}$ very well in the doubly charmed molecular tetraquark scenario, but also predict the other doubly charmed partner resonance $T_{cc}^{\prime +}$ with $m=3876\text{MeV}$, and $\hat{I}“=412\text{keV}$. The prime decay modes of the $T_{cc}^{\prime +}$ are $D^0{D}^{+}{\hat{I}}^3$ and $D^{+}{D}^0\ddot{I}{€}^0$. The peculiar characteristic mass spectrum of the $D^0{D}^{\ast +}/D^{+}{D}^{\ast 0}$ molecular systems can be applied to identify the doubly charmed molecular states.

5 pages, 3 figures