Doubly heavy tetraquark states $cc\bar{u}\bar{d}$ and $bb\bar{u}\bar{d}$

Abstract

Inspired by the recent observation of a very narrow state, called $T_{cc}^{+}$, by the LHCb collaboration, the possible bound states and low-lying resonance states of the doubly heavy tetraquark states $cc\bar{u}\bar{d}$ ($T_{cc}$) and $bb\bar{u}\bar{d}$ ($T_{bb}$) are searched in the framework of chiral quark model with an accurate few body method, Gaussian expansion method. The real scaling method is also applied to identify the genuine resonance states. In the calculation, the meson-meson structure, diquark-antidiquark structure, as well as their coupling are all considered. The numerical results show that (i) for $T_{cc}$ and $T_{bb}$, only $I(J^P)=0(1^{+})$ states are bound in different quark structures. The binding energy varies from a few MeV for meson-meson structure to over 100 MeV for diquark-antidiquark structure. For example for $T_{cc}$, in meson-meson structure, there exists a weakly bound molecule $D{D}^{\ast }$ state around 3841.4 MeV, 1.8 MeV below the $D^0{D}^{\ast +}$, which may be a good candidate of the observed state by LHCb; however in diquark-antidiquark structure, a deeper bound sate with mass 3700.9 MeV is obtained; when considering the structure mixing, the energy of system decreases to 3660.7 MeV and the shallow bound state disappears. (ii) Besides bound states, several resonance states for $T_{QQ}(Q=c,b)$ with $I(J^P)=1(0^{+}),1(1^{+}),1(2^{+}),0(1^{+})$ are proposed.

arXiv comment12 pages, 10 figures

References in corpus (52)

• Exotica
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Confirmation of the Double Charm Baryon Xi_cc+ via its Decay to p D+ K-
• Casimir scaling of SU(3) static potentials
• A survey of heavy-heavy hadronic molecules
• Quark-model study of few-baryon systems
• Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Study of doubly heavy tetraquarks in Lattice QCD
• Observation of a near-threshold structure in the $K^{+}$ recoil-mass spectra in $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$
• QCD sum rules study of $QQ-\bar{u}\bar{d}$ mesons
• Coupled-channel analysis of the possible $D^{(\ast )}{D}^{(\ast )}$, ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states
• Charmed Tetraquarks Tcc and Tcs from Dynamical Lattice QCD Simulations
• Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• Lattice QCD signal for a bottom-bottom tetraquark
• Tetraquarks in a chiral constituent quark model
• Stable multiquark states with heavy quarks in a diquark model
• Evidence for the existence of $ud\bar{b}\bar{b}$ and the non-existence of $ss\bar{b}\bar{b}$ and $cc\bar{b}\bar{b}$ tetraquarks from lattice QCD
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• Doubly-heavy tetraquarks
• Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHC
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• Prospects of discovering stable double-heavy tetraquarks at a Tera-$Z$ factory
• Few-body quark dynamics for doubly-heavy baryons and tetraquarks
• A lattice investigation of exotic tetraquark channels
• Stable double-heavy tetraquarks: spectrum and structure
• Doubly Heavy Tetraquarks in QCD Sum Rules
• Tetraquark bound states in the heavy-light heavy-light system
• 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
• Quark model estimate of hidden-charm pentaquark resonances
• Spectroscopy, lifetime and decay modes of the $T_{bb}^{-}$ tetraquark
• Masses and magnetic moments of hadrons with one and two open heavy quarks: heavy baryons and tetraquarks
• Analysis of the scalar, axialvector, vector, tensor doubly charmed tetraquark states with QCD sum rules
• Production of doubly charmed tetraquarks with exotic color configurations in electron-positron collisions
• The Doubly-heavy Tetraquarks ($q{q}^{\prime }\bar{Q}\overline{Q^{\prime }}$) in a Constituent Quark Model with a Complete Set of Harmonic Oscillator Bases
• Construction of $bb\bar{u}\bar{d}$ tetraquark states on lattice with NRQCD bottom and HISQ up/down quarks
• Weak decays of the axial-vector tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$
• Weak Decays of Stable Doubly Heavy Tetraquark States
• Is the exotic $X(5568)$ a bound state?
• Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet
• Strong decays of double-charmed pseudoscalar and scalar $cc\overline{u}\overline{d}$ tetraquarks
• Fully-heavy tetraquarks: $bb\bar{c}\bar{c}$ and $bc\bar{b}\bar{c}$
• Doubly charmed tetraquarks in a diquark-antidiquark model
• Semileptonic and nonleptonic decays of the axial-vector tetraquark $T_{bb;\overline{u}\overline{d}}^{-}$
• searches for ud\bar{s}\bar{b} in the chiral quark model
• Study on $Z_{cs}$ and excited $B_s^0$ states in the chiral quark model

Cited by in corpus (16)

• An updated review of the new hadron states
• 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
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• 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
• Exploring the magnetic dipole moments of $T_{QQ\bar{q}\bar{s}}$ and $T_{QQ\bar{s}\bar{s}}$ states in the framework of QCD light-cone sum rules
• Doubly heavy tetraquark states in a mass splitting model
• Double-heavy tetraquarks with strangeness in the chiral quark model
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Tri-meson state $\bar{\mathbf{B}}{\bar{\mathbf{B}}}^{\ast }{\bar{\mathbf{B}}}^{\ast }$