1210.6392 (A. Martínez Torres et al.)

The role of $f_0(1710)$ in the $φω$ threshold peak of $J/Ψ
\to γφω$    [PDF]

A. Martínez Torres, K. P. Khemchandani, F. S. Navarra, M. Nielsen, E. Oset

We study the process $J/\Psi \to \gamma \phi \omega$, measured by the BES experiment, where a neat peak close to the $\phi \omega$ threshold is observed and is associated to a scalar meson resonance around 1800 MeV. We make the observation that a scalar resonance coupling to $\phi \omega$ unavoidably couples strongly to $K \bar K$, but no trace of a peak is seen in the $K \bar K$ spectrum of the $J/\Psi \to \gamma K \bar K$. This, reinforced by the negative results from a devoted Belle experiment in a related reaction, 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 done on the production of a pair of vector mesons and how its unavoidable interaction leads necessarily to a peak in the $J/\Psi \to \gamma \phi \omega$ reaction close to the $\phi \omega$ threshold, due to the dynamical generation of the $f_0(1710)$ resonance by the vector-vector interaction. We then show that both the shape obtained for the $\phi \omega$ mass distribution, as well as the strength are naturally reproduced by this mechanism.

View original: http://arxiv.org/abs/1210.6392