Effect of the $K\overline{K}$ and $ηη$ channels and interference phenomena in the two-pion and $K\overline{K}$ transitions of charmonia and bottomonia

Abstract

It is shown that the basic shape of dipion and $K\overline{K}$ mass spectra in decays $J/ψ\toϕ(ππ,K\overline{K})$, $ψ(2S)\to J/ψ\,ππ$, $Y(4260)\to J/ϕ~ππ$ and in the two-pion transitions of 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. The role of the individual $f_0$ resonances in making up the shape of the dipion mass distributions in the charmonia and bottomonia decays is considered.

13 pages, 9 figures