Rescattering effects and the $σ$ pole in hadronic decays
| dc.creator | Caprini, Irinel | |
| dc.date | 2006-03-30 | |
| dc.date | 2006-06-19 | |
| dc.date.accessioned | 2026-07-07T10:44:56Z | |
| dc.date.available | 2026-07-07T10:44:56Z | |
| dc.description | The $σ$ resonance was observed as a conspicuous $π^+π^-$ peak in hadronic decays like $J/ψ\to π^+π^-ω$ or $D^+\toπ^+π^-π^+$. The phase of the $σ\toπ^+π^-$ 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 three-particle 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. | |
| dc.description | 10 pages, minor text changes, version to appear in Phys.Lett.B | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0603250 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0603250 | |
| dc.identifier | Phys.Lett.B638:468-472,2006 | |
| dc.identifier | doi:10.1016/j.physletb.2006.06.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/182768 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Rescattering effects and the $σ$ pole in hadronic decays | |
| dc.type | text |