Khuri-Treiman analysis of $J/\ddot{I}ˆ\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0$

Abstract

We study the decay $J/\ddot{I}ˆ\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0$ within the framework of the Khuri-Treiman equations. We find that the BESIII experimental di-pion mass distribution in the $\ddot{I}(770)$-region is well reproduced with a once-subtracted $P$-wave amplitude. Furthermore, we show that $F$-wave contributions to the amplitude improve the description of the data in the $\ddot{I}€\ddot{I}€$ mass region around 1.5 GeV. We also present predictions for the $J/ψ\toπ^{0}γ^{*}$ transition form factor.

20 pages, 9 figures