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Modified Breit-Wigner formula for mesonic resonances describing OZI decays of confined q anti-q states and the light scalar mesons

Authors: E. van Beveren and G. Rupp

Ref.: Eur.Phys.J.C 22, 493-501 (2001)

Abstract: A general expression resembling Breit-Wigner formulae is derived for the description of resonances which appear in meson-meson scattering. Starting point is a unitarised meson model, but reduced to a simpler form and freed from the specific assumption about the confining force. The parameters of the resulting ``Resonance-Spectrum Expansion' are directly related to the confinement spectrum and the mechanism of $^3P_0$ valence-quark-pair creation for OZI-allowed hadronic decay, and not to the central positions and widths of resonances. The method also provides a straightforward explanation for the origin of the light scalar mesons without requiring extra degrees of freedom.