Scalar Mesons a0(1450) and sigma(600) from Lattice QCD

Abstract

We study the a0 and sigma mesons with the overlap fermion in the chiral regime with the pion mass as low as 182 MeV in the quenched approximation. After the eta'pi ghost states are separated, we find that the a0 mass with q\bar{q} interpolation field to be almost independent of the quark mass in the region below the strange quark mass. The chirally extrapolated results are consistent with a0(1450) being the u\bar{d} meson and K0*(1430) being the u\bar{s} meson with calculated masses at 1.42+_0.13 GeV and 1.41+_ 0.12 GeV respectively. We also calculate the scalar mesonium with a tetraquark interpolation field. In addition to the two pion scattering states, we find a state at around 550 MeV. Through the study of volume dependence, we confirm that this state is a one-particle state, in contrast to the two-pion scattering states. This suggests that the observed state is a tetraquark mesonium which is quite possibly the sigma(600) meson.

11 pages, 9 figures, accepted for publication in Phys. Rev. D

References in corpus (44)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Exactly massless quarks on the lattice
• ππscattering
• The New Heavy Mesons: A Status Report
• Mass and width of the lowest resonance in QCD
• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• The QCD spectrum with three quark flavors
• Experimental evidence for a light and broad scalar resonance in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay
• Constrained Curve Fitting
• Insight into the Scalar Mesons from a Lattice Calculation
• Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball
• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• A study of chiral symmetry in quenched QCD using the Overlap-Dirac operator
• Scalar Particles in Lattice QCD
• Roper Resonance and S_{11}(1535) from Lattice QCD
• A study of pentaquarks on the lattice with overlap fermions
• Valence QCD: Connecting QCD to the Quark Model
• Scaling of Non-Perturbatively O(a) Improved Wilson Fermions: Hadron Spectrum, Quark Masses and Decay Constants
• Excited hadrons on the lattice: Mesons
• Chiral Loops and Ghost States in the Quenched Scalar Propagator
• Properties of light scalar mesons from lattice QCD
• Scalar meson in dynamical and partially quenched two-flavor QCD: lattice results and chiral loops
• Finite-volume two-pion energies and scattering in the quenched approximation
• Y(4260) on the lattice
• X(3872) in lattice QCD with exact chiral symmetry
• Chiral Logs in Quenched QCD
• Localization properties of lattice fermions with plaquette and improved gauge actions
• Characterization of resonances using finite size effects
• Resonance Scattering Phase Shifts in a 2-d Lattice Model
• Chiral Properties of Pseudoscalar Mesons on a Quenched $20^4$ Lattice with Overlap Fermions
• Bayesian curve fitting for lattice gauge theorists
• Chiral Lagrangian Parameters for Scalar and Pseudoscalar Mesons
• Multi-quark energies in QCD
• Masses of singlet and non-singlet 0++ particles
• Quenched scalar meson correlator with Domain Wall Fermions
• A Study of Degenerate Four-quark states in SU(2) Lattice Monte Carlo
• Quenched KS light hadron mass at β=6.5 on a 64\times 48^3 lattice
• Multi-Quark Energies in SU(2) Lattice Gauge Theory
• Continuum extrapolation of energies of a four-quark system in lattice gauge theory
• An Analysis of Four-quark Energies in SU(2) Lattice Monte Carlo using the Flux-tube Symmetry:
• A Review of Pentaquark Calculations on the Lattice
• Light Scalar Mesons from Phi to Psi

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