Three channel model of meson-meson scattering and scalar meson spectroscopy

Abstract

New solutions on the scalar -- isoscalar $\pi \pi$ phase shifts are analysed together with previous $K\bar{K}$ results using a separable potential model of three coupled channels ($\pi \pi$, $K\bar{K}$ and an effective $2\pi 2\pi$ system). Model parameters are fitted to two sets of solutions obtained in a recent analysis of the CERN-Cracow-Munich measurements of the ${\pi }^{-}{p}_{\uparrow }\to {\pi }^{+}{\pi }^{-}n$ reaction on a polarized target. A relatively narrow (90 -- 180 MeV) scalar resonance $f_0(1400-1460)$ is found, in contrast to a much broader ($\Gamma \approx 500$ MeV) state emerging from the analysis of previous unpolarized target data.

10 Latex pages + 6 postscript figures

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• A new parametrization for the scalar pion form factors
• Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays
• Final State Interactions in Kaon Decays
• Left Hand Singularities, Hadron Form Factors and the Properties of the Sigma Meson
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• Hadronic decays of eta and eta-prime with coupled channels
• Scalar Form Factors in SU(3) Chiral Perturbation Theory
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• Vacuum fluctuations of \bar{q}q and values of low-energy constants
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• Dalitz plot studies of D0 --> K0S pi+ pi- decays in a factorization approach
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• Coupled Channel Analysis of S-Wave Pion-Pion and Kaon-Kaon Photoproduction
• Pion Scalar Form Factor and the Sigma Meson
• S-wave Meson-Meson Scattering from Unitarized U(3) Chiral Lagrangians
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• Relativistic unitary description of pi pi scattering
• Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules
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