$bb\bar{u}\bar{d}$ and $bs\bar{u}\bar{d}$ tetraquarks from lattice QCD using two-meson and diquark-antidiquark variational basis

Abstract

We present a lattice QCD investigation of isoscalar tetraquark systems involving bottom quarks with explicit flavor content $bb\bar{u}\bar{d}$ and $bs\bar{u}\bar{d}$. In the doubly bottom sector, the study focuses on axialvector $J^P=1^{+}$ quantum numbers, whereas in the $bs\bar{u}\bar{d}$ channel both axial vector $J^P=1^{+}$ and scalar $J^P=0^{+}$ quantum numbers are investigated in search of signatures for possible tetraquark bound states. The calculations are performed on four ensembles with dynamical quark fields up to the charm quark generated by the MILC Collaboration, with lattice spacings ranging from approximately 0.058 fm to 0.12 fm, and at different values of the valence light quark mass $m_{u/d}$, corresponding to pseudoscalar meson masses, $M_{ps}$=0.5, 0.6 and 0.7 GeV. The energy eigenvalues in the finite volume are determined by applying a variational procedure to correlation matrices constructed from two-meson interpolating operators and diquark-antidiquark operators. Continuum extrapolated elastic $S$-wave scattering amplitudes of $B{B}^{\ast }$, $K{B}^{\ast }$ and $KB$ are extracted from the ground state eigenenergies following a finite-volume analysis á la Lüscher. The chiral and continuum extrapolated binding energy estimates for the isoscalar axialvector doubly bottom tetraquark $T_{bb}$ from the extracted elastic $B{B}^{\ast }$ $S$-wave scattering amplitudes is found to be $\Delta E_{T_{bb}}(1^{+})=-116{(}_{-36}^{+30})$ MeV. In the $bs\bar{u}\bar{d}$, no statistically significant deviations were observed in the ground state energies from the respective elastic threshold energies, leading to no conclusive evidence for any bound states.

arXiv commentv3: 18 pages, 15 figures, 7 tables, Several text and tables corrections to improve clarity. Published in Phys.Rev.D. Results and conclusions unchanged

References in corpus (73)

• Exactly massless quarks on the lattice
• The $XYZ$ states: experimental and theoretical status and perspectives
• More about exactly massless quarks on the lattice
• An updated review of the new hadron states
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Massive Fermions in Lattice Gauge Theory
• Observation of an exotic narrow doubly charmed tetraquark
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Exotic QQ\qbar\qbar States in QCD
• Two-particle multichannel systems in a finite volume with arbitrary spin
• Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Study of doubly heavy tetraquarks in Lattice QCD
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• QCD sum rules study of $QQ-\bar{u}\bar{d}$ mesons
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration
• The Tcc = DD* molecular state
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• BB interactions with static bottom quarks from Lattice QCD
• Signature of a doubly charm tetraquark pole in $D{D}^{\ast }$ scattering on the lattice
• Lattice QCD signal for a bottom-bottom tetraquark
• Tetraquarks in a chiral constituent quark model
• Stable multiquark states with heavy quarks in a diquark 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
• Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHC
• Lattice QCD study of the $H$ dibaryon using hexaquark and two-baryon interpolators
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• Prospects of discovering stable double-heavy tetraquarks at a Tera-$Z$ factory
• A lattice investigation of exotic tetraquark channels
• Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies
• Masses of Doubly Heavy Tetraquarks with Error Bars
• Double-heavy tetraquark states with heavy diquark-antiquark symmetry
• $QQ\bar{q}\bar{q}$ in a chiral constituent quark model
• $ud\bar{b}\bar{b}$ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation
• Stability of tetrons
• Deuteron-like heavy dibaryons from Lattice QCD
• Analysis of the axialvector doubly heavy tetraquark states with QCD sum rules
• Dynamical study of $\mathbf{QQ}-\bar{\mathbf{u}}\bar{\mathbf{d}}$ mesons
• Four-quark Bound States in Chiral SU(3) Quark Model
• Mass spectra of doubly heavy tetraquarks in an improved chromomagnetic interaction model
• Lattice QCD study of doubly-charmed strange baryons
• Tetraquark bound states in constituent quark models: benchmark test calculations
• Construction of $bb\bar{u}\bar{d}$ tetraquark states on lattice with NRQCD bottom and HISQ up/down quarks
• Weak decays of the axial-vector tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Doubly heavy tetraquarks in a chiral-diquark picture
• 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
• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• Doubly heavy tetraquark multiplets as heavy antiquark-diquark symmetry partners of heavy baryons
• 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
• 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
• Diquark properties from full QCD lattice simulations
• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• Doubly Heavy Tetraquarks in the Chiral Quark Soliton Model
• searches for ud\bar{s}\bar{b} in the chiral quark model
• Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential model
• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• Mass spectra of doubly heavy tetraquarks in diquark-antidiquark picture
• Investigating tetraquarks composed of $us\bar{d}\bar{b}$ and $ud\bar{s}\bar{b}$
• Doubly heavy tetraquarks: heavy quark bindings and chromomagnetically mixings
• Decay modes of the scalar exotic meson $T_{bs;\overline{u}\overline{d}}^{-}$
• Two-pion exchange for coupled-channel scattering of two heavy mesons

Cited by in corpus (6)

• The nature of ${\chi }_{c1}\left(3872\right)$ and $T_{cc}^{+}\left(3875\right)$
• Lattice study of $cc\bar{u}\bar{s}$ tetraquark channel in $D^{(\ast )}{D}_s^{(\ast )}$ scattering
• Lattice study of scattering phase shifts for $D{D}^{\ast }$ and $B{B}^{\ast }$ systems using twisted boundary conditions: Search for bound state formation
• Lattice QCD Study of Positive Parity Dibaryons with Maximal Charm and Strangeness
• Exotic hadrons associated with $b$-quark
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions