$T_{cc}^{+}$ and its partners

Abstract

Inspired by the $T_{cc}^{+}$ signal discovered by the LHCb Collaboration, we systematically investigate the doubly heavy tetraquark states with the molecule configuration $[Q_1{\bar{q}}_2][Q_3{\bar{q}}_4]$ ($Q=c$ and $b$, $q=u$, $d$ and $s$) in a nonrelativistic quark model. The model involves a color screening confinement potential, meson-exchange interactions and one-gluon-exchange interactions. The $T_{cc}^{+}$ state with $I{J}^P=01^{+}$ is a very loosely bound deuteron-like state with a binding energy around 0.34 MeV and a huge size of 4.32 fm. Both the meson exchange force and the coupled channel effect play a pivotal role. Without the meson exchange force, there does not exist the $T_{cc}^{+}$ molecular state. In strong contrast, the QCD valence bond forms clearly in the $T_{bb}^{+}$ system when we turn off the meson-exchange force, which is very similar to the hydrogen molecule in QED. Moreover, the $T_{bb}^{+}$ becomes a helium-like QCD-atom if we increase the bottom quark mass by a factor of three. Especially, the $T_{bb}^{+}$ states with $01^{+}$, $T_{bc}^{+}$ with $00^{+}$ and $01^{+}$ and the $V$-spin antisymmetric states $T_{bbs}^{+}$ with $\frac{1}{2}{1}^{+}$, $T_{bcs}^{+}$ with $\frac{1}{2}{0}^{+}$ and $\frac{1}{2}{1}^{+}$ can form a compact, hydrogen molecule-like or deuteron-like bound state with different binding dynamics. The high-spin states $T_{bc}^{+}$ with $02^{+}$ and $T_{bcs}^{+}$ with $\frac{1}{2}{2}^{+}$ can decay into $D$-wave $\bar{B}D$ and ${\bar{B}}_{s}D$ although they are below the thresholds ${\bar{B}}^{\ast }{D}^{\ast }$ and ${\bar{B}}_s^{\ast }{D}^{\ast }$, respectively. The isospin and $V$-spin symmetric states are unbound. We also calculate their magnetic moments and axial charges.

11 pages, 1 figures, 5 tables, comments are welcome

References in corpus (39)

• Pentaquark and Tetraquark states
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Constituent quark model study of the meson spectra
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• A survey of heavy-heavy hadronic molecules
• On the running coupling constant in QCD
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• Stability of multiquarks in a simple string model
• Doubly-heavy tetraquarks
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• Can we understand the decay width of the $T_{cc}^{+}$ state?
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
• Stable double-heavy tetraquarks: spectrum and structure
• Stability of tetrons
• 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
• Magnetic dipole moments of the $T_{cc}^{+}$ and $Z_V^{++}$ tetraquark states
• Doubly heavy tetraquarks in an extended chromomagnetic model
• The production of doubly charmed exotic hadrons in heavy ion collisions
• The Hydrogen Bond of QCD in Doubly Heavy Baryons and Tetraquarks
• Prediction of new $T_{cc}$ states of $D^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}^{\ast }$ molecular nature
• Doubly charmed molecular pentaquarks
• Perfect $D{D}^{\ast }$ molecular prediction matching the $T_{cc}$ observation at LHCb
• Exotic $bc\bar{q}\bar{q}$ four-quark states
• Doubly Heavy Tetraquark Resonant States
• Colour and baryon number fluctuation of preconfinement system in production process and T_cc structure
• Production of the $T_{cc}^{+}$ state in the $\gamma p\to D^{+}{\bar{T}}_{cc}^{-}{\Lambda }_c^{+}$ reaction
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Importance of meson-meson and of diquark-antidiquark creation operators for a $\bar{b}\bar{b}ud$ tetraquark
• The doubly charmed strange tetraquark
• Chiral restoration in excited nucleons versus SU(6)
• Stability of asymmetric tetraquarks in the minimal-path linear potential
• Prediction of $N\Omega$-like dibaryons with heavy quarks
• Discovery of the doubly charmed $T_{cc}^{+}$ state implies a triply charmed $H_{ccc}$ hexaquark state
• $\bar{b}\bar{c}{q}_1{q}_2$four-quark states from Lattice QCD

Cited by in corpus (52)

• An updated review of the new hadron states
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• What can we learn from the electromagnetic properties of hidden-charm molecular pentaquarks with single strangeness?
• 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 tetraquarks in a chiral-diquark picture
• Double-charm tetraquark under the complex scaling method
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• 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
• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• Heavy flavor molecular states with strangeness
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Decoding the double heavy tetraquark state $T_{cc}^{+}$
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• 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
• Radiative decays and magnetic moments of the predicted $B_c$-like molecules
• $T_{cc}^{+}$ and $X(3872)$ with the complex scaling method and $DD(\bar{D})\pi$ three-body effect
• 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 bound and resonant states
• New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments
• Virtual states in the coupled-channel problems with an improved complex scaling method
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Doubly heavy tetraquark states in a mass splitting model
• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• Triply heavy tetraquark states: masses and other properties
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Investigating the M1 radiative decay behaviors and the magnetic moments of the predicted triple-charm molecular-type pentaquarks
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Lattice study of $cc\bar{u}\bar{s}$ tetraquark channel in $D^{(\ast )}{D}_s^{(\ast )}$ scattering
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Structure of open-flavour four-quark states in the charm and bottom region
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• $P$-wave states $T_{bb}^{-}$ from diquarks
• 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
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Tetraquark states in the quark model
• Unveiling the Composition of the Single-Charm Molecular Pentaquarks: Insights from Radiative Decay and Magnetic Moment
• Quark exchange effects in single flavored dibaryons
• Tri-meson state $\bar{\mathbf{B}}{\bar{\mathbf{B}}}^{\ast }{\bar{\mathbf{B}}}^{\ast }$
• Lattice study of scattering phase shifts for $D{D}^{\ast }$ and $B{B}^{\ast }$ systems using twisted boundary conditions: Search for bound state formation
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Production of hidden-heavy and double-heavy hadronic molecules at the $Z$ factory of CEPC