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 $D^0{D}^0\pi$ 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 $\Gamma =412\text{keV}$. The prime decay modes of the $T_{cc}^{\prime +}$ are $D^0{D}^{+}\gamma$ and $D^{+}{D}^0{\pi }^0$. 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

References in corpus (6)

• Pentaquark and Tetraquark states
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• Isospin breaking, coupled-channel effects, and X(3872)
• Perfect $D{D}^{\ast }$ molecular prediction matching the $T_{cc}$ observation at LHCb
• Isospin-violating strong decays of scalar single-heavy tetraquarks

Cited by in corpus (39)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• $T_{cc}^{+}$ coupled channel analysis and predictions
• Analysis of the doubly-charmed tetraquark molecular states with the QCD sum rules
• $T_{cc}^{+}$ and its partners
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Prediction of new $T_{cc}$ states of $D^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}^{\ast }$ molecular nature
• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• Double-charm tetraquark under the complex scaling method
• Strong decays of $T_{cc}^{+}$ at NLO in an effective field theory
• Doubly heavy tetraquark multiplets as heavy antiquark-diquark symmetry partners of heavy baryons
• The quasi-fission phenomeonon of double charm $T_{cc}^{+}$ induced by nucleon
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• Triple-charm molecular states composed of $D^{\ast }{D}^{\ast }D$ and $D^{\ast }{D}^{\ast }{D}^{\ast }$
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Double-charm heptaquark states composed of two charmed mesons and one nucleon
• $T_{cc}^{+}$ and $X(3872)$ with the complex scaling method and $DD(\bar{D})\pi$ three-body effect
• Doubly heavy tetraquark bound and resonant states
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Doubly heavy tetraquark states in a mass splitting model
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• hidden charm decays of $X(4014)$ in a $D^{\ast }{\bar{D}}^{\ast }$ molecule scenario
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Exploring the mass spectrum and the electromagnetic properties of the possible ${\Xi }_{cc}{K}^{(\ast )}$ and ${\Xi }_{cc}{\bar{K}}^{(\ast )}$ molecules
• Binding of the three-hadron $D{D}^{\ast }K$ system from the lattice effective field theory
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Predicting possible molecular states of nucleons with ${\Xi }_c$, ${\Xi }_c^{\ast }$, and ${\Xi }_c^{\prime }$
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• An alternative way to decipher the nature of the doubly charmed tetraquark $T_{cc}(3875{)}^{+}$: its antiparticle $T_{\bar{c}\bar{c}}(3875{)}^{-}$ photoproduction off nuclei near threshold
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson