We explore the features of Flatte-like parametrizations. In particular, we
demonstrate that the large variation in the absolute values of the coupling
constants to the pi-eta (or pi-pi) and KKbar channels for the a_0(980) and
f_0(980) mesons that one can find in the literature can be explained by a
specific scaling behaviour of the Flatte amplitude for energies near the KKbar
threshold. We argue that the ratio of the coupling constants can be much better
determined from a fit to experimental data.Comment: 12 pages, 12 figure
