Weak Decays of Stable Doubly Heavy Tetraquark States

Abstract

In the light of the recent discovery of the ${\Xi }_{cc}^{++}$ by LHCb collaboration, we study the stable doubly heavy tetraquarks. These states are compact exotic hadrons which can be approximated as the diquark-anti-diquark correlations. In the flavor SU(3) symmetry, they form an SU(3) triplet or anti-sextet. The spectra of the stable doubly heavy tetraquark states are predicted by Sakharov-Zeldovich formula. We find that the $T_{cc\bar{u}\bar{d}}^{+}(3)$ is about 16MeV below the $D{D}^{\ast }$ threshold, while $T_{bb\bar{u}\bar{d}}^{-}(3)$ is about 73MeV below the $B{B}^{\ast }$ threshold. We then study the semileptonic and nonleptonic weak decays of the stable doubly heavy tetraquark states. The decay amplitudes are parametrized in terms of SU(3)-irreducible amplitudes. Ratios between decay widths of different channels are also derived. At the end, we collect the Cabibbo allowed two-body and three-body decay channels, which are most promising to search for the stable doubly heavy tetraquark states at LHCb and Belle II experiments.

41 pages, 9 figures. To be published in PRD

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Cited by in corpus (28)

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• A survey of heavy-heavy hadronic molecules
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• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• Analyzing doubly heavy tetra- and penta-quark states by variational method
• Open-charm tetraquark $X_c$ and open-bottom tetraquark $X_b$
• QCD Sum Rules Analysis of Weak Decays of Doubly-Heavy Baryons
• Spectroscopy, lifetime and decay modes of the $T_{bb}^{-}$ tetraquark
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Weak decays of the axial-vector tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Lambda }_{Q^{\prime }}$ Weak Decays
• Production of exotic tetraquarks $QQ\bar{q}\bar{q}$ in heavy-ion collisions at the LHC
• Weak Decays of Doubly Heavy Baryons: W-Exchange
• Shallow Bound States and Hints for Broad Resonances with Quark Content $\bar{b}\bar{c}ud$ in $B$-$\bar{D}$ and $B^{\ast }$-$\bar{D}$ Scattering from Lattice QCD
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }}\to {\Sigma }_{Q^{\prime }}$ Weak Decays
• Doubly heavy tetraquark states $cc\bar{u}\bar{d}$ and $bb\bar{u}\bar{d}$
• Triply-heavy tetraquarks in an extended relativized quark model
• Fully Heavy Tetraquark $bb\bar{c}\bar{c}$: Lifetimes and Weak Decays
• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
• Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry Analysis
• Weak Decays of Triply Heavy Tetraquarks $b\bar{c}b\bar{q}$
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• SU(3) analysis of fully-light tetraquarks in heavy meson weak decays
• The Production of Singly Charmed Pentaquark $\bar{c}qqqq$ from Bottom Baryon
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Semileptonic decays of doubly charmed baryons with bag model
• The study of doubly charmed pentaquark $cc\bar{q}qq$ with the SU(3) symmetry
• Lifetime and dominant decay modes of the tetraquark with double beauty $bb\bar{u}\bar{d}$