Masses of Doubly Heavy Tetraquarks with Error Bars

Abstract

In the heavy-quark limit, the two heavy quarks in a doubly heavy baryon or a doubly heavy tetraquark are bound by their color-Coulomb potential into a compact diquark. The doubly heavy hadrons are related by the approximate heavy-quark--diquark symmetry of QCD to the heavy hadrons obtained by replacing the heavy diquark by a heavy antiquark. Effective field theories can be used to expand the masses of singly heavy hadrons and doubly heavy hadrons in inverse powers of the heavy quark masses. The coefficients in the expansions for doubly heavy tetraquarks can be determined from those for heavy mesons, heavy baryons, and doubly heavy baryons using heavy-quark--diquark symmetry. We predict the masses of the ground-state doubly heavy tetraquarks with error bars using as inputs the masses of heavy mesons and heavy baryons measured in experiments and the masses of doubly heavy baryons calculated using lattice QCD. The only doubly heavy tetraquarks predicted to be stable with respect to strong decays are $bb$ tetraquarks with light flavor $\bar{u}\bar{d}$, $\bar{s}\bar{u}$ and $\bar{s}\bar{d}$.

arXiv comment28 pages, 7 tables, Minor revisions, published in Phys. Rev. D

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• 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
• $T_{cc}^{+}$ and its partners
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• $T_{cc}^{+}(3875)$ relevant $D{D}^{\ast }$ scattering from $N_f=2$ lattice QCD
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• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
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• The quasi-fission phenomeonon of double charm $T_{cc}^{+}$ induced by nucleon
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
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• Magnetic moments of the doubly charged axial-vector $T_{cc}^{++}$ states
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• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• 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
• Mass spectra of doubly heavy tetraquarks in diquark-antidiquark picture
• Doubly heavy tetraquark states in a mass splitting model
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
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• Masses of doubly heavy tetraquarks $QQ\bar{n}\bar{q}$ with $J^P=1^{+}$
• Tetraquark Masses by using extension of Gursey-Radicati Mass Formula
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• $bb\bar{u}\bar{d}$ and $bs\bar{u}\bar{d}$ tetraquarks from lattice QCD using two-meson and diquark-antidiquark variational basis
• Heavy quark dominance in orbital excitation of singly and doubly heavy baryons
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
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• Strong decays of the low-lying doubly bottom baryons
• Investigating the Isospin Property of $T_{cc}^{+}$ from its Dalitz Plot Distribution
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• Determination of the spectroscopic parameters of beauty-partners of $T_{cc}$ from QCD
• Production of doubly charmed hadron ${\Xi }_{cc}^{++}$ and $T_{cc}^{+}$ in relativistic heavy ion collisions
• Spectroscopic study of $ss\bar{b}\bar{b}$ and $bb\bar{b}\bar{b}$ Tetraquarks using Regge phenomenology
• The doubly-charmed pentaquark in a quark model with a complete set of harmonic oscillator bases
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Prediction of an $I(J^P)=0(1^{-})$ $\bar{b}\bar{b}ud$ Tetraquark Resonance Close to the $B^{\ast }{B}^{\ast }$ Threshold Using Lattice QCD Potentials
• Investigation of Doubly Heavy Tetraquark Systems using Lattice QCD
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$
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