Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials

Abstract

We investigate spin effects in four-quark systems consisting of two heavy anti-bottom quarks and two light up/down quarks. To this end we use the Born-Oppenheimer approximation. We utilize potentials of two static antiquarks in the presence of two quarks of finite mass computed via lattice QCD and solve a coupled-channel Schrödinger equation for the anti-bottom-anti-bottom separation. Without taking heavy quark spins into account this approach predicted a $ud\bar{b}\bar{b}$ tetraquark bound state with quantum numbers $I(J^P)=0(1^{+})$. We now extend this Born-Oppenheimer approach with coupled channel Schrödinger equations allowing us to incorporate effects due to the heavy $\bar{b}$ spins. We confirm the existence of the $ud\bar{b}\bar{b}$ tetraquark.

arXiv comment9 pages, 4 figures, 1 table

References in corpus (36)

• Big-Bang Nucleosynthesis
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Observation of a charged charmoniumlike structure Z_c(4020) and search for the Z_c(3900) in e+e- to pi+pi-h_c
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• Observation of the Charged Hadron $Z_c^{\pm }(3900)$ and Evidence for the Neutral $Z_c^0(3900)$ in $e^{+}{e}^{-}\to \pi \pi J/\psi$ at $\sqrt{s}=4170$ MeV
• Observation of a charged (DD*bar)- mass peak in e+e- --> pi+ (DD*bar)- at Ecm=4.26 GeV
• Observation of a charged charmoniumlike structure in $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ at $\sqrt{s}=4.26$GeV
• A Diquark-Triquark Model for the KN Pentaquark
• Dynamical Twisted Mass Fermions with Light Quarks: Simulation and Analysis Details
• Observation of a new charged charmoniumlike state in B -> J/psi K pi decays
• Dynamical Twisted Mass Fermions with Light Quarks
• Nonperturbative determination of the QCD potential at O(1/m)
• Charmed Tetraquarks Tcc and Tcs from Dynamical Lattice QCD Simulations
• Quarkonium Hybrids with Nonrelativistic Effective Field Theories
• The Tcc = DD* molecular state
• BB interactions with static bottom quarks from Lattice QCD
• Observation of $e^{+}{e}^{-}\to {\pi }^0{\pi }^0{h}_c$ and a neutral charmoniumlike structure $Z_c(4020{)}^0$
• Lattice QCD signal for a bottom-bottom tetraquark
• Tetraquark bound states in a Bethe-Salpeter approach
• Spin-dependent potentials from lattice QCD
• Tetraquarks in a chiral constituent quark model
• Evidence for the existence of $ud\bar{b}\bar{b}$ and the non-existence of $ss\bar{b}\bar{b}$ and $cc\bar{b}\bar{b}$ tetraquarks from lattice QCD
• Stability of multiquarks in a simple string model
• Study of the $Z_c^{+}$ channel using lattice QCD
• Does A Narrow Tetraquark $cc\bar{u}\bar{d}$ State Exist?
• Tetraquark bound states in the heavy-light heavy-light system
• The light scalar mesons as tetraquarks
• Static-static-light-light tetraquarks in lattice QCD
• The static-light meson spectrum from twisted mass lattice QCD
• Doubly heavy hadrons and the domain of validity of doubly heavy diquark--anti-quark symmetry
• The continuum limit of the static-light meson spectrum
• Microscopic calculation of the decay of Jaffe-Wilczek tetraquarks, and the Z(4433)
• Tetraquark bound states and resonances in the unitary and microscopic triple string flip-flop quark model, the light-light-antiheavy-antiheavy $qq\bar{Q}\bar{Q}$ case study
• Refined lattice/model investigation of $ud\bar{b}\bar{b}$ tetraquark candidates with heavy spin effects taken into account

Cited by in corpus (63)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Pentaquark and Tetraquark states
• An updated review of the new hadron states
• A survey of heavy-heavy hadronic molecules
• Study of doubly heavy tetraquarks in Lattice QCD
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• A $bb\bar{b}\bar{b}$ di-bottomonium at the LHC?
• $T_{cc}^{+}$ and its partners
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
• A lattice investigation of exotic tetraquark channels
• Masses of Doubly Heavy Tetraquarks with Error Bars
• $ud\bar{b}\bar{b}$ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation
• Stability of tetrons
• Analysis of the scalar, axialvector, vector, tensor doubly charmed tetraquark states with QCD sum rules
• Doubly heavy tetraquarks in an extended chromomagnetic model
• Mass spectra of doubly heavy tetraquarks in an improved chromomagnetic interaction model
• Construction of $bb\bar{u}\bar{d}$ tetraquark states on lattice with NRQCD bottom and HISQ up/down quarks
• Doubly charmed baryon production in heavy ion collisions
• Tetraquark bound states in constituent quark models: benchmark test calculations
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Doubly heavy tetraquarks in a chiral-diquark picture
• Kinematical Cusp and Resonance Interpretations of the $X(2900)$
• Nature of the doubly-charmed tetraquark $T_{cc}^{+}$ in a constituent quark model
• Tetraquarks in the 1/N Expansion: a New Appraisal
• Weak Decays of Stable Doubly Heavy Tetraquark States
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• Nonrelativistic effective field theory for heavy exotic hadrons
• Computation of the quarkonium and meson-meson composition of the ${\rm Y}(nS)$ states and of the new ${\rm Y}(10753)$ Belle resonance from lattice QCD static potentials
• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
• Bottomonium resonances with $I=0$ from lattice QCD correlation functions with static and light quarks
• Importance of meson-meson and of diquark-antidiquark creation operators for a $\bar{b}\bar{b}ud$ tetraquark
• Determination of ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ and analytic parameterization of the static quark-antiquark potential
• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Tetraquark and two-meson states at large $N_{\mathrm{c}}$
• Doubly charmed tetraquarks in a diquark-antidiquark model
• Diquark properties from full QCD lattice simulations
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• Fully heavy pentaquark states in constituent quark model
• Dimesonic states with the heavy-light flavour mesons
• Lattice QCD static potentials of the meson-meson and tetraquark systems computed with both quenched and full QCD
• Mass spectra of doubly heavy tetraquarks in diquark-antidiquark picture
• Study of $I=0$ bottomonium bound states and resonances in $S$, $P$, $D$ and $F$ waves with lattice QCD static-static-light-light potentials
• Heavy-Quark spin symmetry breaking in the Born-Oppenheimer approximation
• Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry Analysis
• Cluster reducibility of multiquark operators
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• The nature of ${\chi }_{c1}\left(3872\right)$ and $T_{cc}^{+}\left(3875\right)$
• Masses of doubly heavy tetraquarks $QQ\bar{n}\bar{q}$ with $J^P=1^{+}$
• $bb\bar{u}\bar{d}$ and $bs\bar{u}\bar{d}$ tetraquarks from lattice QCD using two-meson and diquark-antidiquark variational basis
• Why static bound-state calculations of tetraquarks should be met with scepticism
• Model-independent predictions for decays of double-heavy hadrons into pairs of heavy hadrons
• Tetraquark mass relations in quark and diquark models
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Doubly heavy $QQ$ tetraquarks
• 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
• Application of the Thomas Fermi Quark Model to Multiquark Mesons
• Hadronic molecules and multiquark states
• Investigation of Doubly Heavy Tetraquark Systems using Lattice QCD
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions
• Flavour-Exotic Tetraquarks in Large-$N_{\mathrm{c}}$ QCD: Do They Exist?
• Assessing the validity of the Born-Oppenheimer approximation in potential models for doubly heavy hadrons
• Large-$N_c$ QCD and tetraquarks