Scalar Particles in Lattice QCD

Abstract

We report a project to study scalar particles by lattice QCD simulations. After a brief introduction of the current situation of lattice study of the sigma meson, we describe our numerical simulations of scalar mesons, $\sigma$ and $\kappa$. We observe a low sigma mass, $m_{\pi }<m_{\sigma }\le m_{\rho }$, for which the disconnected diagram plays an important role. For the kappa meson, we obtain higher mass than the experimental value, i.e., $m_{\kappa }\sim 2m_{K^{\ast }}$.

4 figures, to be published in Proceedings of `International Symposium on Hadron Spectroscopy, Chiral Symmetry and Relativistic Description of Bound Systems' (in a series of KEK proceedings)

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• ππscattering
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• Another look at $\pi \pi$ scattering in the scalar channel
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Cited by in corpus (78)

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• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Scalar Glueball, Scalar Quarkonia, and their Mixing
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• Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Light flavor-singlet scalars and walking signals in $N_f=8$ QCD on the lattice
• Light composite scalar in twelve-flavor QCD on the lattice
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• Chiral extrapolation of light resonances from one and two-loop unitarized Chiral Perturbation Theory versus lattice results
• Effects of staggered fermions and mixed actions on the scalar correlator
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• The $KD$, $\eta D_s$ interaction in finite volume and the nature of the $D_{s^{\ast }0}(2317)$ resonance
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• Simple patterns for non-linear susceptibilities near T_c
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• Mass Uncertainties of f0(600) and f0(1370) and their Effects on Determination of the Quark and Glueball Admixtures of the I=0 Scalar Mesons
• Glueball nature of the sigma/f_0(600) from pi-pi and gamma-gamma scatterings
• Scattering of unstable particles in a finite volume: the case of pi rho scattering and the a1(1260) resonance
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• Strategy to find the two $\Lambda (1405)$ states from lattice QCD simulations
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• The Quark-Mass Dependence of T_C in QCD: Working up from m=0 or down from m=infinity ?
• The pion-pion Interaction in the rho Channel in Finite Volume
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
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• Sigma meson in pole-dominated QCD sum rules
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• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
• Repurposing lattice QCD results for composite phenomenology
• Light scalar mesons and charmless hadronic $B_c\to SP,SV$ decays in the perturbative QCD approach
• Effective models of two-flavor QCD: from small towards large $m_q$
• Nature of the sigma meson as revealed by its softening process
• Partial twisting for scalar mesons
• Lattice status of gluonia/glueballs
• Chiral Nonet Mixing in ${\eta }^{\prime }\to \eta \pi \pi$ Decay
• Two-body charmed B(Bs) decays involving a light scalar meson
• The $DN$, $\pi {\Sigma }_c$ interaction in finite volume and the ${\Lambda }_c(2595)$ resonance
• Universal physics of three bosons with isospin
• Branching Ratios and CP Violations of B \to K_0^*(1430) K^* Decays in the pQCD Approach
• Probing the substructure of $f_0(1370)$
• The sigma meson from QCD sum rules for large-$N_c$ Regge spectra
• Inverse Mass Hierarchy of Light Scalar Mesons Driven by Anomaly-Induced Flavor Breaking
• Proximity of $f_0(1500)$ and $f_0(1710)$ to the scalar glueball
• Hard hadron spectroscopy
• Study of scalar meson a_0(1450) from B \to a_0(1450)K^* Decays
• Scalar-isovector K K-bar production close to threshold
• Generalized linear sigma model with two glueballs
• Two-photon width and gluonic component of sigma/f_0(600)
• Scalar mesons in the chiral theory with quark degrees of freedom
• Lattice calculation of $\kappa$ meson
• Chiral Nonet Mixing in $\pi K$ Scattering
• The low-lying Scalar Mesons and Related Topics
• Low Lying Scalar Resonances and Chiral Symmetry
• Role of U${}_A$(1) breaking term in dynamical chiral symmetry breaking of chiral effective theories
• Spinless mesons and glueballs mixing patterns in SU(3) flavor limit
• On ambiguities of sign determination of the S-matrix from energy levels in a finite box
• Chiral Nonet Mixing in $\pi \eta$ Scattering
• Photoproduction of the scalar mesons $f_0(500)$ and $f_0(980)$ off the nucleon
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• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• Universal scale factors relating mesonic fields and quark operators
• Strangeness Production in pp and pn Reactions at COSY
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• Relics of Supersymmetry in Ordinary 1-flavor QCD: Hairpin Diagrams and Scalar-Pseudoscalar Degeneracy
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• Hyper Stealth Dark Matter and Long-Lived Particles
• Precision dispersive approaches versus unitarized Chiral Perturbation Theory for the lightest scalar resonances $\sigma /f_0(500)$ and $\kappa /K_0^{\ast }(700)$
• Selfconsistent calculations of mesonic properties at nonzero temperature