Determination of π0 meson quadrupole polarizabilities from the process γγ→π0π0

A fit of the experimental data to the total cross section of the process γγ→π0π0 in the energy region from 270 to 2250 MeV has been carried out using dispersion relations for the invariant amplitudes where the quadrupole polarizabilities are free parameters. As a result the sum and difference of the electric and magnetic quadrupole polarizabilities of the π0 meson have been found for the first time: (α2+β2)π0=(-0.181±0.004)x10-4 fm5, (α2-β2)π0=(39.70±0.02)x10-4 fm5. In addition, dispersion sum rules have been constructed for this sum and difference, respectively. The values of (α2-β2)π0 and (α2+β2)π0 extracted from the experimental data on the process γγ→π0π0 are in good agreement with the result of calculations in the framework of these dispersion sum rules