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Particles and Fields

Eur. Phys. J. C 22, 493-501 (2001)
DOI: 10.1007/s100520100823

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

E. van Beveren1 and G. Rupp2

1  Centro de Física Teórica, Departamento de Física, Universidade de Coimbra, 3000 Coimbra, Portugal
2  Centro de Física das Interacções Fundamentais, Instituto Superior Técnico, Edifício Ciência, 1049-001 Lisboa Codex, Portugal

(Received: 15 October 2001 / Published online: 21 November 2001 - © Springer-Verlag / Società Italiana di Fisica 2001 )

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 3P0 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.

© Società Italiana di Fisica, Springer-Verlag 2001