Meson Form Factors and the Quark-Level Linear Sigma Model

Abstract

The quark-level linear sigma model is employed to compute a variety of electromagnetic and weak observables of light mesons, including pion and kaon form factors and charge radii, charged-pion polarizabilities, semileptonic weak $K_{\ell 3}$ decay, semileptonic weak radiative pion and kaon form factors, radiative decays of vector mesons, and nonleptonic weak $K_{2\pi }$ decay. The agreement of all these predicted observables with experiment is striking. In passing, the tight link between the linear sigma model and vector-meson dominance is shown. Some conclusions are drawn on the linear sigma model in connection with lattice and renormalization-group approaches to QCD.

plain LaTeX, 21 pages, 8 EPS figures, 1 table. PACS numbers: 12.40.-y, 11.30.Rd, 13.40.Gp, 13.40.Hq, 13.20.Cz, 13.20.Eb, 13.25.Es, 12.40.Vv

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• Electromagnetic form factors of charged and neutral kaons in an extended vector-meson-dominance model
• Constituent and current quark masses at low chiral energies
• Low Lying Scalar Resonances and Chiral Symmetry
• Light scalar $K_0^{\ast }(700)$ meson in vacuum and a hot medium
• Spinless mesons and glueballs mixing patterns in SU(3) flavor limit