“…Formula ( 14) has similar features as standard Breit-Wigner approximations [19,20,21,22,23,24,25,26] for resonant phenomena. However, from the values of E nℓc and B nℓc , one cannot read off the positions of the singularities.…”
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 3 P 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.
“…Formula ( 14) has similar features as standard Breit-Wigner approximations [19,20,21,22,23,24,25,26] for resonant phenomena. However, from the values of E nℓc and B nℓc , one cannot read off the positions of the singularities.…”
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 3 P 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.
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