Predicting another doubly charmed molecular resonance <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math> (3876)
Rui Chen, Qi Huang, Xiang Liu, Shi-Lin Zhu
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 ${D}^{0}{D}^{0}\ensuremath{\pi}$ mass spectrum, which lies just below the ${D}^{0}{D}^{*+}$ threshold around 273 keV. In this work, we study the ${D}^{0}{D}^{*+}/{D}^{+}{D}^{*0}$ 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 ${T}_{cc}^{\ensuremath{'}+}$ with $m=3876\text{ }\text{ }\mathrm{MeV}$, and $\mathrm{\ensuremath{\Gamma}}=412\text{ }\text{ }\mathrm{keV}$. The prime decay modes of the ${T}_{cc}^{\ensuremath{'}+}$ are ${D}^{0}{D}^{+}\ensuremath{\gamma}$ and ${D}^{+}{D}^{0}{\ensuremath{\pi}}^{0}$. The peculiar characteristic mass spectrum of the ${D}^{0}{D}^{*+}/{D}^{+}{D}^{*0}$ molecular systems can be applied to identify the doubly charmed molecular states.