Construction of $bb\bar{u}\bar{d}$ tetraquark states on lattice with NRQCD bottom and HISQ up/down quarks

Abstract

We construct $bb\bar{u}\bar{d}$ states on lattice using NRQCD action for bottom and HISQ action for the light up/down quarks. The NRQCD-HISQ tetraquark operators are constructed for "bound" $[bb][\bar{u}\bar{d}]$ and "molecular" $[b\bar{u}][b\bar{d}]$ states. Corresponding to these different operators, two different appropriately tuned light quark masses are needed to obtain the desired spectra. We explain this requirement of different $m_{u/d}$ in the light of relativised quark model involving Hartree-Fock calculation. The mass spectra of double bottom tetraquark states are obtained on MILC $N_f=2+1$ Asqtad lattices at three different lattice spacings. Variational analysis has been carried out to obtain the relative contribution of "bound" and "molecular" states to the energy eigenstates.

arXiv comment25 pages, 8 figures

References in corpus (39)

• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Heavy-Quark QCD Exotica
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Exotica
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Massive Fermions in Lattice Gauge Theory
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• Variants of fattening and flavor symmetry restoration
• Charmed bottom baryon spectroscopy from lattice QCD
• Exotic QQ\qbar\qbar States in QCD
• Heavy quark spin structure in Z_b resonances
• Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
• Study of doubly heavy tetraquarks in Lattice QCD
• Testing improved actions for dynamical Kogut-Susskind quarks
• Charmed Tetraquarks Tcc and Tcs from Dynamical Lattice QCD Simulations
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Evidence for charm-bottom tetraquarks and the mass dependence of heavy-light tetraquark states from lattice QCD
• Lattice QCD signal for a bottom-bottom tetraquark
• 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
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• The Search for Beauty-fully Bound Tetraquarks Using Lattice Non-Relativistic QCD
• Doubly-heavy tetraquarks
• Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials
• Heavy Baryon Specroscopy from the Lattice
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• $ud\bar{b}\bar{b}$ tetraquark resonances with lattice QCD potentials and the Born-Oppenheimer approximation
• Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Zb tetraquark channel from lattice QCD and Born-Oppenheimer approximation
• The Gell-Mann -- Okubo mass relation among baryons from fully-dynamical mixed-action lattice QCD
• Baryon Masses in Partially Quenched Heavy Hadron Chiral Perturbation Theory
• Triply heavy $QQ\bar{Q}\bar{q}$ tetraquark states
• Investigation of light and heavy tetraquark candidates using lattice QCD
• Heavy baryon spectrum on lattice with NRQCD bottom and HISQ lighter quarks

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