Large Isospin mixing in phi radiative decay and the spatial size of the f0(980)- a0(980) meson

The measured rate for phi to gamma f0(980) appears to be larger than allowed on rather general grounds. We show that mixing between the f0(980) and a0(980), due to their dynamical interaction with the nearby KKbar thresholds, radically affects some existing predictions of their production in phi radiative decay. We predict that Gamma(phi to gamma f0)/Gamma(phi to gamma a_0) approx 3; that sum (b.r.(phi to gamma f0) + b.r. (phi to gamma a_0)) < 5 x 10^-4 with probable individual branching ratios 2 x 10^-4 and 0.7 x 10^-4 respectively.