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Scalar mesons within a model for all nonexotic mesons

Authors: E. van Beveren and G. Rupp

Ref.: proceedings of the Workshop on Recent Developments in Particle and Nuclear Physics, April 30, 2001, Coimbra (Portugal) ISBN 972-95630-3-9, 1-16 (2002)

Abstract: We describe a four-parameter model for non-exotic meson-meson scattering, which accommodates all non-exotic mesons, hence also the light scalar mesons, as resonances and bound states characterised by complex singularities of the scattering amplitude as a function of the total invariant mass. The majority of the full $S$-matrix mesonic poles stem from an underlying confinement spectrum. However, the light scalar mesons K0*(830), a0(980), f0(400-1200), and f0(980) do not, but instead originate in 3P0-barrier semi-bound states. In the case of bound states, wave functions can be determined. For ccbar and bbbar, radiative transitions have been calculated. Here we compare the results to the data.