A lattice study of light scalar tetraquarks

Abstract

The observed mass pattern of scalar resonances below 1 GeV gives preference to the tetraquark assignment over the conventional $\bar{q}q$ assignment for these states. We present a search for tetraquarks with isospins 0, 1/2, 1 in lattice QCD, where the isospin channels 1/2 and 1 have not been studied before. We determine three energy levels in each isospin channel using the variational method. The scattering states and possible tetraquark states are distinguished by considering the volume-dependence of spectral weights and by considering the time-dependence of correlators near t~T/2. We find no indication for light tetraquarks at our range of pion masses 344-576 MeV.

22 pages, 9 figures

References in corpus (19)

• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Mass and width of the lowest resonance in QCD
• A Theory of Scalar Mesons
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Study of tau- -> K_S pi- nu_tau decay at Belle
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Excited hadrons on the lattice: Mesons
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Y(4260) on the lattice
• X(3872) in lattice QCD with exact chiral symmetry
• Ordinary and Extraordinary Hadrons
• Derivative sources in lattice spectroscopy of excited light-quark mesons
• Tetra-Quark Resonances in Lattice QCD
• On the $\pi \pi$ contribution to the QCD sum rules for the light tetraquark
• Lowest-lying Tetra-Quark Hadrons in Anisotropic Lattice QCD
• Scalar and Vector 4Q Systems in Anisotropic Lattice QCD
• Efficient use of the Generalized Eigenvalue Problem
• Kaon Condensation with Lattice QCD

Cited by in corpus (38)

• Anion height dependence of Tc for the Fe-based superconductor
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Exploration of new superconductors and functional materials and fabrication of superconducting tapes and wires of iron pnictides
• Coupled channel analysis of the rho meson decay in lattice QCD
• Towards a theory of hadron resonances
• The $I=1$ pion-pion scattering amplitude and timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD
• Meson and baryon spectrum for QCD with two light dynamical quarks
• Rho resonance parameters from lattice QCD
• Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
• A case for hidden $b\bar{b}$ tetraquarks based on $e^{+}{e}^{-}\to b\bar{b}$ cross section between $\sqrt{s}=10.54$ and 11.20 GeV
• Lattice study of light scalar tetraquarks with I=0,2,1/2,3/2: are sigma and kappa tetraquarks?
• Competition of magnetism and superconductivity in underdoped (Ba1-xKx)Fe2As2
• Electronic and Magnetic Phase Diagram of a Superconductor, SmFeAsO1-xFx
• High Statistics Analysis using Anisotropic Clover Lattices: (I) Single Hadron Correlation Functions
• The Status of Exotic-quantum-number Mesons
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• Lattice investigation of the scalar mesons a_0(980) and κ using four-quark operators
• Hadronic D decays involving even-parity light mesons
• Lattice QCD study of mixed systems of pions and kaons
• Tetraquarks, hadronic molecules, meson-meson scattering and disconnected contributions in lattice QCD
• Lattice QCD study of four-quark components of the isosinglet scalar mesons: Significance of disconnected diagrams
• Partial twisting for scalar mesons
• Y(4260) as a mixed charmonium-tetraquark state
• Hadronic three-body D decays mediated by scalar resonances
• Fully open-flavor tetraquark states $bc\bar{q}\bar{s}$ and $sc\bar{q}\bar{b}$ with $J^P=0^{+},1^{+}$
• On Charmless $B\to K_h{\eta }^{{(}^{\prime })}$ Decays with $K_h=K,K^{\ast },K_0^{\ast }(1430),K_2^{\ast }(1430)$
• Ab initio prediction of pressure-induced structural phase transition of superconducting FeSe
• Inverse Mass Hierarchy of Light Scalar Mesons Driven by Anomaly-Induced Flavor Breaking
• Structural properties and phase diagram of the $La(F{e}_{1-x}R{u}_x)AsO$ system
• Scalar mesons in the chiral theory with quark degrees of freedom
• Lattice investigation of the tetraquark candidates a0(980) and kappa
• Chiral Structure of Scalar and Pseudoscalar Mesons
• Upper critical field, pressure-dependent superconductivity and electronic anisotropy of Sm${}_4$Fe${}_2$As${}_2$Te${}_{1-x}$O${}_{4-y}$F$y$
• Studying $\kappa$ meson with a MILC fine lattice
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$
• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• I=1/2 low-lying mesons in lattice QCD
• Bubble contributions to scalar correlators with mixed actions