Prediction of new $T_{cc}$ states of $D^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}^{\ast }$ molecular nature

Abstract

We extend the theoretical framework used of describe the $T_{cc}$ state as a molecular state of $D^{\ast }D$ and make predictions for the $D^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}^{\ast }$ systems, finding that they lead to bound states only in the $J^P=1^{+}$ channel. Using input needed to describe the $T_{cc}$ state, basically one parameter to regularize the loops of the Bethe-Salpeter equation, we find bound states with bindings of the order of the MeV and similar widths for $D^{\ast }{D}^{\ast }$ system, while the $D_s^{\ast }{D}^{\ast }$ system develops a strong cusp around threshold.

21 pages,12 figures,1 table. Minor changes made and references added

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Cited by in corpus (30)

• An updated review of the new hadron states
• $T_{cc}^{+}$ coupled channel analysis and predictions
• $T_{cc}^{+}$ and its partners
• Systematics of the heavy flavor hadronic molecules
• Double-charm tetraquark under the complex scaling method
• Strong decays of $T_{cc}^{+}$ at NLO in an effective field theory
• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Heavy flavor molecular states with strangeness
• The $X(3960)$ seen in $D_s^{+}{D}_s^{-}$ as the $X(3930)$ state seen in $D^{+}{D}^{-}$
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Triple-charm molecular states composed of $D^{\ast }{D}^{\ast }D$ and $D^{\ast }{D}^{\ast }{D}^{\ast }$
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• A note on the possible bound $D^{(\ast )}{D}^{(\ast )},{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ states
• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• Magnetic moments of the doubly charged axial-vector $T_{cc}^{++}$ states
• 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
• $T_{cc}^{+}$ and $X(3872)$ with the complex scaling method and $DD(\bar{D})\pi$ three-body effect
• Double-charm heptaquark states composed of two charmed mesons and one nucleon
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• Doubly heavy tetraquark states in a mass splitting model
• Exotic states with triple charm
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Lattice study of $cc\bar{u}\bar{s}$ tetraquark channel in $D^{(\ast )}{D}_s^{(\ast )}$ scattering
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states