Effect of coupled channels of the multi-channel pion-pion scattering in two-pion transitions of the $\hat{I}\yen$ mesons

Abstract

The effect of isoscalar S-wave processes $\ddot{I}€\ddot{I}€\to \ddot{I}€\ddot{I}€,K\overline{K},\hat{I}\cdot \hat{I}\cdot$ is considered in the analysis of data (from the ARGUS, CLEO, CUSB, Crystal Ball, Belle, BABAR collaborations) on the bottomonia decays --- $\hat{I}\yen (mS)\to \hat{I}\yen (nS)\ddot{I}€\ddot{I}€$ ($m>n,m=2,3,4,5,n=1,2,3$). It is shown that the dipion mass spectra of these decays are explained by the unified mechanism related to the contribution of the multichannel $\ddot{I}€\ddot{I}€$ scattering in the final states of these reactions. Since in the analysis the multichannel $\ddot{I}€\ddot{I}€$-scattering amplitudes did not change in comparison with the ones in our combined analysis of data on the multichannel $\ddot{I}€\ddot{I}€$ scattering and on the charmonia decays --- $J/\ddot{I}ˆ\to \ddot{I}•(\ddot{I}€\ddot{I}€,K\overline{K})$ and $\ddot{I}ˆ(2S)\to J/\ddot{I}ˆ(\ddot{I}€\ddot{I}€)$ (from the Crystal Ball, DM2, Mark II, Mark III, and BES II) --- the results confirm all our earlier conclusions on the scalar mesons.

10 pages, 1 figure, Talk at the 9th joint International HADRON STRUCTURE'15 Conference, GRAND HOTEL BELLEVUE, Horny Smokovec, Slovak Republic, 29 June - 3 July, 2015. arXiv admin note: text overlap with arXiv:1506.03023