BB interactions with static bottom quarks from Lattice QCD

Abstract

The isospin, spin and parity dependent potential of a pair of $B$ mesons is computed using Wilson twisted mass lattice QCD with two flavours of degenerate dynamical quarks. The $B$ meson is addressed in the static-light approximation, i.e.\ the $b$ quarks are infinitely heavy. From the results of the $BB$ meson-meson potentials, a simple rule can be deduced stating which isospin, spin and parity combinations correspond to attractive and which to repulsive forces. We provide fits to the ground state potentials in the attractive channels and discuss the potentials in the repulsive and excited channels. The attractive channels are most important since they can possibly lead to a bound four-quark state, i.e.\ a $\bar{b}\bar{b}ud$ tetraquark. Using these attractive potentials in the Schrödinger equation, we find indication for such a tetraquark state of two static bottom antiquarks and two light $u/d$ quarks with mass extrapolated down to the physical value.

29 pages, 7 figures

References in corpus (20)

• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Charmed bottom baryon spectroscopy from lattice QCD
• Observation of a new charged charmoniumlike state in B -> J/psi K pi decays
• 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
• Lattice study of light scalar tetraquarks with I=0,2,1/2,3/2: are sigma and kappa tetraquarks?
• BB Potentials in Quenched Lattice QCD
• Study of $B{\bar{B}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ interactions in $I=1$ and relationship to the $Z_b(10610)$, $Z_b(10650)$ states
• Observation and Properties of L=1 B_1 and B_2* Mesons
• 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
• Masses of $D$ mesons, $D_s$ mesons and charmonium states from twisted mass lattice QCD
• Variational study of the flux tube recombination in the two quarks and two quarks system in Lattice QCD
• Investigation of the tetraquark candidate $a_0(980)$: technical aspects and preliminary results
• 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
• Flavored tetraquark spectroscopy

Cited by in corpus (72)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Pentaquark and Tetraquark states
• Exotics: Heavy Pentaquarks and Tetraquarks
• An updated review of the new hadron states
• A survey of heavy-heavy hadronic molecules
• Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
• Study of doubly heavy tetraquarks in Lattice QCD
• Exotic hadrons: review and perspectives
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD
• Doubly Charmed Tetraquark $T_{cc}^{+}$ from Lattice QCD near Physical Point
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• Masses of doubly heavy tetraquarks $T_{Q{Q}^{\prime }}$ in a relativized quark model
• Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
• A lattice investigation of exotic tetraquark channels
• Precision computation of hybrid static potentials in SU(3) lattice gauge theory
• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• $ud\bar{b}\bar{b}$ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation
• Charm-beauty meson bound states from $B(B^{\ast })D(D^{\ast })$ and $B(B^{\ast })\bar{D}({\bar{D}}^{\ast })$ interaction
• Spectroscopy, lifetime and decay modes of the $T_{bb}^{-}$ tetraquark
• Doubly heavy tetraquarks in an extended chromomagnetic model
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Doubly heavy tetraquarks in a chiral-diquark picture
• Kinematical Cusp and Resonance Interpretations of the $X(2900)$
• 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
• Exotic $bc\bar{q}\bar{q}$ four-quark states
• 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
• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
• Production of exotic tetraquarks $QQ\bar{q}\bar{q}$ in heavy-ion collisions at the LHC
• Tetraquarks in large-$N_c$ QCD
• 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
• Determination of ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ and analytic parameterization of the static quark-antiquark potential
• Importance of meson-meson and of diquark-antidiquark creation operators for a $\bar{b}\bar{b}ud$ tetraquark
• Bound isoscalar axial-vector $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD using two-meson and diquark-antidiquark variational basis
• Masses and widths of the exotic molecular $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Search for doubly-heavy dibaryons in a quark model
• Diquark properties from full QCD lattice simulations
• Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method
• Triply-heavy tetraquarks in an extended relativized quark model
• Doubly charm tetraquark channel with isospin $1$ from lattice QCD
• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• Lattice QCD static potentials of the meson-meson and tetraquark systems computed with both quenched and full QCD
• Improved XTZ masses and mass ratios from Laplace Sum Rules at NLO
• Heavy meson thresholds in Born-Oppenheimer Effective field theory
• The interplay between compact and molecular structures in tetraquarks
• Cluster reducibility of multiquark operators
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• Possible molecular states in $B^{(\ast )}{B}^{(\ast )}$ scatterings
• Investigation of $B\bar{B}$ four-quark systems using lattice QCD
• The nature of ${\chi }_{c1}\left(3872\right)$ and $T_{cc}^{+}\left(3875\right)$
• $T_{bbb}$: a three $B-$meson bound state
• $QQqq\bar{q}$ Quark System, Compact Pentaquark, and Gauge/String Duality
• Existence and Non-Existence of Doubly Heavy Tetraquark Bound States
• $bb\bar{u}\bar{d}$ 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
• Computation of hybrid static potentials in SU(3) lattice gauge theory
• Structure of open-flavour four-quark states in the charm and bottom region
• Model-independent predictions for decays of double-heavy hadrons into pairs of heavy hadrons
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• Effect of continuum states on the double-heavy hadron spectra
• Hidden and open heavy-flavor hadronic states
• Exotic Heavy Hadrons
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ 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
• Including heavy spin effects in a lattice QCD study of static-static-light-light tetraquarks
• Investigation of Doubly Heavy Tetraquark Systems using Lattice QCD
• Hadronic molecules and multiquark states
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions
• Basics of doubly heavy tetraquarks