Theory of Scalars

Abstract

Outline: 1. Introduction, 2. Confinement, chiral dynamics and light scalar mesons, 3. Chiral shielding of the σ(600), chiral constraints (the CGL band), the σ(600) and the f0(980) in ππ->ππ, ππ->KKbar, ϕ->γ\pi0\pi0, 4. The ϕmeson radiative decays on light scalar resonances, 5. Light scalars in γγcollisions. Evidence for four-quark components of light scalars is given. The priority of Quantum Field Theory in revealing the light scalar mystery is emphasized.

Plenary talk given by N.N. Achasov at PHIPSI08, Frascati, April 9, 2008. In spite of allegations in the papers arXiv:0806.0328 (M.R. Pennington) and arXiv:0803.3389 (M.R. Pennington et al.), the model of PRD 77 (2008) 074020 (N.N. Achasov, G.N. Shestakov) reproduces γγ->\pi0\pi0 above 800 MeV (see Sec. V, Fig. 5, in PRD and Sec. 20, Fig. 9, in this talk)

References in corpus (13)

• ππscattering
• Mass and width of the lowest resonance in QCD
• Search for the scalar $a_0$ and $f_0$ mesons in the reactions $e^{+}{e}^{-}\to \gamma {\pi }^0{\pi }^0(\eta )$
• Analysis of the nature of the $\varphi \to \gamma \pi \eta$ and $\varphi \to \gamma {\pi }^0{\pi }^0$ decays
• Analysis of the nature of the $\varphi \to \gamma \pi \eta$ and $\varphi \to \gamma {\pi }^0{\pi }^0$ decays
• The new analysis of the KLOE data on the phi->eta pi0 gamma decay
• Properties of the light scalar mesons face the experimental data on the $\varphi \to {\pi }^0{\pi }^0\gamma$ decay and the $\pi \pi$ scattering
• Radiative decays of ϕ-meson and nature of light scalar resonances
• High statistics measurement of the cross sections of gamma gamma -> pi^+ pi^- production
• Lightest scalar and tensor resonances in $\gamma \gamma \to \pi \pi$ after the Belle experiment
• Lightest scalar in the SU_L(2)*SU_R(2) linear σmodel
• Isospin mixing in the nucleon and 4He and the nucleon strange electric form factor
• Shape of the $f_0(980)$ in $\gamma \gamma \to {\pi }^{+}{\pi }^{-}$

Cited by in corpus (5)

• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• sigma and f_0(980) substructures from gamma-gamma to pi-pi, J/psi, phi radiative and D_s semi-leptonic decays
• 2γ-decays of scalar mesons (σ(600), f_0(980) and a_0(980)) in the Nambu-Jona-Lasinio model
• Radially Excited Axial-Vector Mesons in the extended Nambu--Jona-Lasinio model
• Insights into $Q^2{\bar{Q}}^2$ states from an effective perspective