Identifying the quark content of the isoscalar scalar mesonsf0(980),f0(1370),andf0(1500)from weak and electromagnetic processes

The assignments of the isoscalar scalar mesons $f_0\mathrm{}\left(980\right),$ $f_0\mathrm{}\left(1370\right),$ and $f_0\mathrm{}\left(1500\right)\mathrm{}$ in terms of their flavor substructure is still a matter of heated dispute. Here we employ the weak and electromagnetic decays $D_s^{+}\to f_0{\pi }^{+}$ and $f_0\to \gamma \gamma ,$ respectively, to identify the $f_0\mathrm{}\left(980\right)\mathrm{}$ and $f_0\mathrm{}\left(1500\right)\mathrm{}$ as mostly $\overline{s}s,$ and the $f_0\mathrm{}\left(1370\right)\mathrm{}$ as dominantly $\mathrm{n̄}n,$ in agreement with previous work. The two-photon decays can be satisfactorily described with quark as well as with meson loops, though the latter ones provide a less model-dependent and more quantitative description.