We estimate the di-photon coupling of f0(600), f0(980) and f2(1270)
resonances in a coupled channel dispersive approach. The f0(600) di-photon
coupling is also reinvestigated using a single channel T matrix for ππ
scattering with better analyticity property, and it is found to be
significantly smaller than that of a qˉq state. Especially we also
estimate the di-photon coupling of the third sheet pole located near KˉK
threshold, denoted as f0III(980).
It is argued that this third sheet pole may be originated from a coupled
channel Breit-Wigner description of the f0(980) resonance.Comment: 24 pages and 13 eps figures. A nuerical bug in previous version is
fixed. Some results changed. References and new figures added. Version to
appear in Phys. Rev.