Double-charm tetraquark under the complex scaling method

Abstract

The LHCb Collaboration discovered a double-charm tetraquark $T_{cc}^{+}$ with a very small width. We investigate the $T_{cc}^{+}$ as a $D{D}^{\ast }$ molecule with $J^P=1^{+}$ in the framework of the one-boson-exchange potential model. The isospin breaking effect and $S-D$ wave coupling are taken into account carefully. We adopt the complex scaling method (CSM) to study the $D{D}^{\ast }$ system and obtain a quasibound state corresponding to the $T_{cc}^{+}$. Its binding energy relative to the $D^0{D}^{\ast +}$ and width are $-354$ keV and $61$ keV respectively. The isospin breaking effect is found to be enormous, and the $S-$wave $D^0{D}^{\ast +}$ and $D^{+}{D}^{\ast 0}$ components give dominant contributions with the probabilities of $72.1\%$ and $27.1\%$ respectively. In addition, we do not find any resonances in the $D{D}^{\ast }$ system. As a by-product, we study the $X(3872)$ as a $(D{\bar{D}}^{\ast }-D^{\ast }\bar{D})/\sqrt{2}$ molecule with $J^{PC}=1^{++}$. We also find a quasibound state corresponding to the $X(3872)$. Its binding energy relative to the $D^0{\bar{D}}^{\ast 0}$ threshold and width are $-111$ keV and $26$ keV respectively. The $S-$wave $(D^0{\bar{D}}^{\ast 0}-D^{\ast 0}{\bar{D}}^0)/\sqrt{2}$ component dominates this state with the probability of $92.7\%$.

arXiv comment11 pages, 15 figures

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Cited by in corpus (20)

• Revisiting the $D{D}^{\ast }$ chiral interactions with the local momentum-space regularization up to the third order and the nature of $T_{cc}^{+}$
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Analysis of $T_{cc}$ and $T_{bb}$ based on the hadronic molecular model and their spin multiplets
• 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
• Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential model
• Doubly heavy tetraquark bound and resonant states
• Virtual states in the coupled-channel problems with an improved complex scaling method
• Doubly heavy tetraquark states in a mass splitting model
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Double-charm and hidden-charm hexaquark states under the complex scaling method
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Investigating the Isospin Property of $T_{cc}^{+}$ from its Dalitz Plot Distribution
• Probing exotic $J^{PC}$ resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Mass and decay width of $T_{ccs}$ from symmetries
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Explanation of Y(4630) as hadronic resonant state
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Analysis of bound and resonant states of doubly heavy tetraquarks with spin $J\le 2$
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$