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

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...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2001-11
Main Authors: Eef van Beveren, Rupp, George
Format: Article
Language:English
Subjects:
Confining
Mesons
Resonance scattering
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0106077