Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD

Abstract

We use lattice QCD to investigate the existence of strong-interaction-stable antiheavy-antiheavy-light-light tetraquarks. We study the $\bar{b}\bar{b}us$ system with quantum numbers $J^P=1^{+}$ as well as the $\bar{b}\bar{c}ud$ systems with quantum numbers $I(J^P)=0(0^{+})$ and $I(J^P)=0(1^{+})$. We carry out computations on five gauge-link ensembles with $2+1$ flavors of domain-wall fermions, including one at the physical pion mass. The bottom quarks are implemented using lattice nonrelativistic QCD, and the charm quarks using an anisotropic clover action. In addition to local diquark-antidiquark and local meson-meson interpolating operators, we include nonlocal meson-meson operators at the sink, which facilitates the reliable determination of the low-lying energy levels. We find clear evidence for the existence of a strong-interaction-stable $\bar{b}\bar{b}us$ tetraquark with binding energy $(-86\pm 22\pm 10)\text{MeV}$ and mass $(10609\pm 22\pm 10)\text{MeV}$. For the $\bar{b}\bar{c}ud$ systems we do not find any indication for the existence of bound states, but cannot rule out their existence either.

28 pages, 29 figures

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Cited by in corpus (20)

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• Towards the quark mass dependence of $T_{cc}^{+}$ from lattice QCD
• 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
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• 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
• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• Doubly heavy tetraquark bound and resonant states
• Doubly heavy tetraquark states in a mass splitting model
• The nature of ${\chi }_{c1}\left(3872\right)$ and $T_{cc}^{+}\left(3875\right)$
• $bb\bar{u}\bar{d}$ and $bs\bar{u}\bar{d}$ tetraquarks from lattice QCD using two-meson and diquark-antidiquark variational basis
• Lattice study of $cc\bar{u}\bar{s}$ tetraquark channel in $D^{(\ast )}{D}_s^{(\ast )}$ scattering
• Structure of open-flavour four-quark states in the charm and bottom region
• Mass and decay width of $T_{ccs}$ from symmetries
• 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
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Hadronic molecules and multiquark states
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions