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

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 $ππ$, $K\overline{K}$ and $ηη$ coupled channels including their interference.

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