Modified Breit–Wigner formula for mesonic resonances describing OZI decays of confined \(q\bar{q}\) states and the light scalar mesons

  • E. van Beveren
  • G. Rupp
Theoretical physics


A general expression resembling the Breit–Wigner formula is derived for the description of resonances which appear in meson–meson scattering. Our 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. This method also provides us with a straightforward explanation for the origin of the light scalar mesons without requiring extra degrees of freedom.


General Expression Simple Form Central Position Specific Assumption Scalar Meson 
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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2001

Authors and Affiliations

  • E. van Beveren
    • 1
  • G. Rupp
    • 2
  1. 1.Centro de Física Teórica, Departamento de Física, Universidade de Coimbra, 3000 Coimbra, PortugalPT
  2. 2.Centro de Física das Interacçoes Fundamentais, Instituto Superior Técnico, Edifício Ciência, 1049-001 Lisboa Codex, PortugalPT

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