Rescattering effects and the σ pole in hadronic decays
نویسنده
چکیده
The σ resonance was observed as a conspicuous ππ peak in hadronic decays like J/ψ → ππω or D → πππ. The phase of the σ → ππ amplitude, extracted from production data within the conventional isobar model, is assumed to coincide with that in ππ elastic scattering. We check the validity of this assumption by using Lehmann-Symanzik-Zimmermann (LSZ) reduction and unitarity. The rescattering effects in the final threeparticle states are shown to generate a correction to the phase given by a naive application of Watson theorem. We briefly discuss the implications of this result for the pole determination from production data. PACS: 13.25.Gv; 13.20.Fc; 13.75.Lb; 11.80.Et
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