Eur. Phys. J. C 22, 493-501 (2001)
DOI: 10.1007/s100520100823
Modified Breit-Wigner formula
for mesonic resonances describing OZI decays
of confined
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 )
Abstract
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
