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

Using the results for the t-dependence of the pi(0)pi(0)-spectra measured by GAMS in pi(-)p --> pi(0)pi(0)n at pion momentum 38 GeV/c, we estimate the radii of the scalar/isoscalar mesons f(0)(980), f(0)(1300) and broad state f(0)(1530(-250)(+90)). The estimate gives the following radius squared differences R-2(1530) - R-2(980) = 0.58 +/- 0.25 fm(2) and R-2(1530) - R-2(1300) = 0.45 +/- 0.23 fm(2) indicating definitely that the broad state f(0)(1530(-250)(+90)) has larger radius than f(0)(980) and f(0)(1300). It supports an idea that the broad state can play the role of the locking state for the comparatively narrow counterparts, f(0)(980) and f(0)(1300). (C)1998 Elsevier Science B.V. All rights reserved.