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 $D^0D^0\pi$ mass spectrum, which lies just below the $D^0D^{*+}$ threshold around 273 keV. In this work, we study the $D^0D^{*+}/D^+D^{*0}$ 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 $\Gamma= 412~\text{keV}$. The prime decay modes of the $T_{cc}^{\prime+}$ are $D^0D^+\gamma$ and $D^+D^0\pi^0$. The peculiar characteristic mass spectrum of the $D^0D^{*+}/D^+D^{*0}$ molecular systems can be applied to identify the doubly charmed molecular states.
Highlights
As an important and effective approach to shed light on the nonperturbative behavior of the quantum chromodynamics (QCD), the study of the hadron spectroscopy has become an active research field
The isospin breaking effect plays an essential role in generating hadronic molecular states with a very tiny binding energy
Among abundant research issues around the hadron spectroscopy, searching for the exotic hadronic matter is full of challenges and opportunities at the birth of quark model [1,2,3]
Summary
The isospin breaking effect plays an essential role in generating hadronic molecular states with a very tiny binding energy. The LHCb Collaboration observed a very narrow doubly charmed tetraquark þ cc in the. We study the D0DÃþ=DþDÃ0 interactions with the one-bosonexchange effective potentials and consider the isospin breaking effect carefully. We reproduce the mass of the newly observed þ cc very well in the doubly charmed molecular tetraquark scenario, and predict the other partner resonance
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