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

Abstract

We have improved our previous variational method based constituent quark model by introducing a complete set of 3-dimensional harmonic oscillator bases as the spatial part of the total wave function. To assess the validity of our approach, we compared the binding energy, thus calculated with the exact value for the hydrogen model. After fitting to the masses of the ground state hadrons, we apply our new method to analyze the doubly-heavy tetraquark states $q{q}^{\prime }\bar{Q}\overline{Q^{\prime }}$ and compared the result for the binding energies with that from other works. We also calculated the ground state masses of $T_{sc}(ud\bar{s}\bar{c})$ and $T_{sb}(ud\bar{s}\bar{b})$ with $(I,S)=(0,1),(0,2)$. We found that $T_{bb}(ud\bar{b}\bar{b})$ and $us\bar{b}\bar{b}$, both with $(I,S)=(0,1)$, are stable against the two lowest threshold meson states with binding energies $-145$ MeV and $-42$ MeV, respectively. We further found that $T_{cb}(ud\bar{c}\bar{b})$ is near the lowest threshold. The spatial sizes for the tetraquarks are also discussed.

20 pages, 10 figures

References in corpus (3)

• Pentaquark and Tetraquark states
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Exotic meson-meson molecules and compact four--quark states

Cited by in corpus (29)

• An updated review of the new hadron states
• Observation of an exotic narrow doubly charmed tetraquark
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• A survey of heavy-heavy hadronic molecules
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• Doubly Charmed Tetraquark $T_{cc}^{+}$ from Lattice QCD near Physical Point
• $T_{cc}^{+}(3875)$ relevant $D{D}^{\ast }$ scattering from $N_f=2$ lattice QCD
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Tetraquark bound states in constituent quark models: benchmark test calculations
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• The quasi-fission phenomeonon of double charm $T_{cc}^{+}$ induced by nucleon
• Doubly heavy tetraquark states $cc\bar{u}\bar{d}$ and $bb\bar{u}\bar{d}$
• $X(3872)$ and $T_{cc}$: structures and productions in heavy ion collisions
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Fully heavy pentaquark states in constituent quark model
• Doubly heavy tetraquark states in a mass splitting model
• Double-heavy tetraquarks with strangeness in the chiral quark model
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• 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
• Determination of the spectroscopic parameters of beauty-partners of $T_{cc}$ from QCD
• The doubly-charmed pentaquark in a quark model with a complete set of harmonic oscillator bases
• Three-body Forces in Oscillator Bases Expansion
• Lattice study of scattering phase shifts for $D{D}^{\ast }$ and $B{B}^{\ast }$ systems using twisted boundary conditions: Search for bound state formation
• Hadronic molecules and multiquark states
• Systematic exploration of triply heavy tetraquarks: spectroscopic and decay characteristics
• Algebraic approach to quarkyoniclike configuration and stable diquarks in dense matter