The role of f0(1710) in the ϕω threshold peak of J/Ψ→γϕω

We study the process J/Ψ→γϕω, measured by the BES experiment, where a neat peak close to the ϕω threshold is observed and is associated to a scalar meson resonance around 1800 MeV. We make the observation that a scalar resonance coupling to ϕω unavoidably couples strongly to KK¯, but no trace of a peak is seen in the KK¯ spectrum of the J/Ψ→γKK¯ at this energy. This serves us to rule out the interpretation of the observed peak as a signal of a new resonance. After this is done, a thorough study is performed on the production of a pair of vector mesons and how its interaction leads necessarily to a peak in the J/Ψ→γϕω reaction close to the ϕω threshold, due to the dynamical generation of the f0(1710) resonance by the vector-vector interaction. We then show that both the shape obtained for the ϕω mass distribution, as well as the strength are naturally reproduced by this mechanism. The work also explains why the ϕω peak is observed in the BES experiment and not in other reactions, like B±→K±ϕω of Belle.