Estimation of the radii of the scalar/isoscalar mesons f0(980), f0(1300) and broad state f0(1530−250+90)

Using the results for the t-dependence of the π0π0-spectra measured by GAMS in π−p→π0π0n at pion momentum 38 GeV/c, we estimate the radii of the scalar/isoscalar mesons f0(980), f0(1300) and broad state f0(1530−250+90). The estimate gives the following radius squared differences R2(1530)−R2(980)=0.58±0.25 fm2 and R2(1530)−R2(1300)=0.45±0.23 fm2 indicating definitely that the broad state f0(1530−250+90) has larger radius than f0(980) and f0(1300). It supports an idea that the broad state can play the role of the locking state for the comparatively narrow counterparts, f0(980) and f0(1300).