The interference effects of multi-channel pion-pion scattering contributions to the final states of Ψ- and γ-meson family decays

Yu.S Surovtsev,V.E Lyubovitskij,T Gutsche,R Kamiński,M Nagy,P Bydžovský,A Wrońska,C Guaraldo,H Ströher,A Magiera

doi:10.1051/epjconf/201613004005

Abstract

It is shown that the basic shape of dipion mass distributions in the two-pion transitions of both charmonia and bottomonia states are explained by an unified mechanism based on the contribution of the $\pi\pi$, $K\overline{K}$ and $\eta\eta$ coupled channels including their interference.

Highlights

In the analysis of practically all available data on two-pion transitions of the Υ mesons from the ARGUS, CLEO, CUSB, Crystal Ball, Belle, and BaBar Collaborations — Υ(mS ) → Υ(nS )ππ (m > n, m = 2, 3, 4, 5, n = 1, 2, 3) — the contribution of multi-channel ππ scattering in the final-state interactions is considered
It is shown that the basic shape of dipion mass distributions in the twopion transitions of both charmonia and bottomonia states are explained by an unified mechanism based on the contribution of the ππ, KK and ηη coupled channels including their interference
The analysis, which is aimed at studying the scalar mesons, is performed jointly considering the above bottomonia decays, the isoscalar S-wave processes ππ → ππ, KK, ηη, which are described in our model-independent approach based on analyticity and unitarity and using an uniformization procedure, and the charmonium decay processes — J/ψ → φππ, ψ(2S ) → J/ψππ — with data from the Crystal Ball, DM2, Mark II, Mark III, and BES II Collaborations

Summary

Introduction

It is shown that the basic shape of dipion mass distributions in the twopion transitions of both charmonia and bottomonia states are explained by an unified mechanism based on the contribution of the ππ, KK and ηη coupled channels including their interference. In the analysis of practically all available data on two-pion transitions of the Υ mesons from the ARGUS, CLEO, CUSB, Crystal Ball, Belle, and BaBar Collaborations — Υ(mS ) → Υ(nS )ππ (m > n, m = 2, 3, 4, 5, n = 1, 2, 3) — the contribution of multi-channel ππ scattering in the final-state interactions is considered.

Results

Conclusion