Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry Analysis

Abstract

The exotic state $X(5568)$ which was observed by D0 Collaboration is very likely to be a tetraquark state with four different valence quark flavors, though the existence was not confirmed by other collaborations. The possibility of such state still generate lots of interests in theory. In the paper, we will study the properties of the state under the SU(3) flavor symmetry. This four quark state with a heavy bottom quark and three light quarks(anti-quark) can form a $6$ or $\overline{15}$ representation. The weak decays can be dominant and should be discussed carefully while such state is stable against the strong interaction. Therefor we will study the multi-body semileptonic and nonleptonic weak decays systematically. With the help of SU(3) flavor symmetry, we can give the Hamiltonian in the hadronic level, then obtain the parameterized irreducible amplitudes and the relations of different channels. At the end of the article, we collect some Cabibbo allowed two-body and three-body weak decay channels which can be used to reconstruct $X_{b6}$ states at the branching fraction up to be $10^{-5}$.

arXiv comment53 pages, 2 figures

References in corpus (59)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Heavy quarkonium: progress, puzzles, and opportunities
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Multiquark Resonances
• Heavy-Quark QCD Exotica
• Exotics: Heavy Pentaquarks and Tetraquarks
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• Broken SU(3) Symmetry in Two-Body B Decays
• Discovery Potentials of Doubly Charmed Baryons
• Evidence for a $B_s^0{\pi }^{\pm }$ State
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Test Flavor SU(3) symmetry in Exclusive ${\Lambda }_c$ decays
• A Theory of X and Z Multiquark Resonances
• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Stability and ensemble inequivalence in a globally coupled system
• A New Hadron Spectroscopy
• Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHC
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Prospects of discovering stable double-heavy tetraquarks at a Tera-$Z$ factory
• Charmed Baryon Weak Decays with SU(3) Flavor Symmetry
• Interpreting the $X(5568)$
• Mass and decay constant of the newly observed exotic $X(5568)$ state
• The CP violating phase $\gamma$ from global fit of rare charmless hadronic B decays
• How the X(5568) challenges our understanding of QCD
• Decoding the $X(5568)$ as a fully open-flavor $su\bar{b}\bar{d}$ tetraquark state
• Search for the X(5568) state decaying into ${\mathrm{B}}_{\mathrm{s}}^0{\pi }^{\pm }$ in proton-proton collisions at $\sqrt{s}=$ 8 TeV
• Distinguishing two kinds of scalar mesons from heavy meson decays
• A global $SU(3)/U(3)$ flavor symmetry analysis for $B\to PP$ with $\eta -{\eta }^{\prime }$ Mixing
• Flavor SU(3) Topological Diagram and Irreducible Representation Amplitudes for Heavy Meson Charmless Hadronic Decays: Mismatch and Equivalence
• $K_S^0-K_L^0$ Asymmetries and $CP$ Violation in Charmed Baryon Decays into Neutral Kaons
• Weak decays of doubly heavy baryons: "decay constants"
• Weak Decays of Triply Heavy Baryons
• A search for the exotic meson $X(5568)$ with the Collider Detector at Fermilab
• Search for a Structure in the $B_s^0{\pi }^{\pm }$ Invariant Mass Spectrum with the ATLAS Experiment
• Flavor SU(3) symmetry and QCD factorization in $B\to PP$ and $PV$ decays
• Analysis of the strong decay $X(5568)\to B_s^0{\pi }^{+}$ with QCD sum rules
• Weak Decays of Stable Doubly Heavy Tetraquark States
• Tetraquark States with Open Flavors
• Partners of Z(4430) and Productions in B Decays
• Open-flavor charmed/bottom $sq\bar{q}\bar{Q}$ and $qq\bar{q}\bar{Q}$ tetraquark states
• Can $X(5568)$ be a tetraquark state?
• Study of the $X^{\pm }(5568)$ state with semileptonic decays of the $B_s^0$ meson
• Doubly charmed tetraquarks in a diquark-antidiquark model
• B_c^+- decays into tetraquarks
• Measurement of the $B^{\pm }$ production asymmetry and the $CP$ asymmetry in $B^{\pm }\to J/\psi K^{\pm }$ decays
• Flavor $SU(3)$ properties of beauty tetraquark states with three different light quarks
• searches for ud\bar{s}\bar{b} in the chiral quark model
• Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry

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• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Spectrum and rearrangement decays of tetraquark states with four different flavors
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• Rescattering mechanism of weak decays of double-charm baryons
• Diagrammatic analysis of hidden- and open-charm tetraquark production in $B$ decays
• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
• Weak-decay searches for $Qs\bar{u}\bar{d}$ tetraquarks
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