Physics – High Energy Physics – High Energy Physics - Experiment
Scientific paper
2008-01-12
Eur.Phys.J.C54:73-87,2008
Physics
High Energy Physics
High Energy Physics - Experiment
24 pages, 12 figures. To be published in Euro. Phys. J C
Scientific paper
10.1140/epjc/s10052-007-0515-0
In production processes, e.g. J/Psi -> omega-pi-pi or pbar-p -> 3pi, the sigma and fo(980) overlap in the same partial wave. The conjecture of Extended Unitarity (EU) states that the pi-pi pair should have the same phase variation as pi-pi elastic scattering. This is an extension of Watson's theorem beyond its original derivation, which stated only that the s-dependence of a single resonance should be universal. The prediction of EU is that the deep dip observed in pi-pi elastic scattering close to 1 GeV should also appear in production data. Four sets of data disagree with this prediction. All require different relative magnitudes of sigma and fo(980). That being so, a fresh conjecture is to rewrite the 2-body unitarity relation for production in terms of observed magnitudes. This leads to a prediction different to EU. Central production data from the AFS experiment fit naturally to this hypothesis.
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