Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-03-30
Phys.Lett.B638:468-472,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, minor text changes, version to appear in Phys.Lett.B
Scientific paper
10.1016/j.physletb.2006.06.003
The $\sigma$ resonance was observed as a conspicuous $\pi^+\pi^-$ peak in hadronic decays like $J/\psi\to \pi^+\pi^-\omega$ or $D^+\to\pi^+\pi^-\pi^+$. The phase of the $\sigma\to\pi^+\pi^-$ amplitude, extracted from production data within the conventional isobar model, is assumed to coincide with that in $\pi\pi$ 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.
No associations
LandOfFree
Rescattering effects and the $σ$ pole in hadronic decays does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Rescattering effects and the $σ$ pole in hadronic decays, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rescattering effects and the $σ$ pole in hadronic decays will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-141576