Meson Form Factors and the Quark-Level Linear Sigma Model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Details

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

Scientific paper

10.1016/S0375-9474(03)01553-7

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 $K_{\ell3}$ 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.

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