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 $92.7\%$.

11 pages, 15 figures

References in corpus (37)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Observation of an exotic narrow doubly charmed tetraquark
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• A survey of heavy-heavy hadronic molecules
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Study of the lineshape of the ${\chi }_{c1}(3872)$ state
• Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration
• Exotic meson-meson molecules and compact four--quark states
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• $T_{cc}^{+}$ coupled channel analysis and predictions
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• Isospin breaking, coupled-channel effects, and X(3872)
• Analysis of the doubly-charmed tetraquark molecular states with the QCD sum rules
• Doubly-heavy tetraquarks
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Can we understand the decay width of the $T_{cc}^{+}$ state?
• $T_{cc}^{+}$ and its partners
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
• Systematics of the heavy flavor hadronic molecules
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• Discovery potentials of double-charm tetraquarks
• Double-heavy tetraquark states with heavy diquark-antiquark symmetry
• $QQ\bar{q}\bar{q}$ in a chiral constituent quark model
• Predicting another doubly charmed molecular resonance $T_{cc}^{\prime +}(3876)$
• Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark
• Dynamical study of $\mathbf{QQ}-\bar{\mathbf{u}}\bar{\mathbf{d}}$ mesons
• Possible Molecular States of $D^{(\ast )}{D}^{(\ast )}$ and $B^{(\ast )}{B}^{(\ast )}$ within the Bethe-Salpeter framework
• Prediction of new $T_{cc}$ states of $D^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}^{\ast }$ molecular nature
• Revisit the isospin violating decays of $X(3872)$
• Production of exotic tetraquarks $QQ\bar{q}\bar{q}$ in heavy-ion collisions at the LHC
• Colour and baryon number fluctuation of preconfinement system in production process and T_cc structure
• Strong decays of double-charmed pseudoscalar and scalar $cc\overline{u}\overline{d}$ tetraquarks
• Heavy flavor molecular states with strangeness
• Doubly heavy tetraquark states $cc\bar{u}\bar{d}$ and $bb\bar{u}\bar{d}$

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 $T_{cc}$