  Using the fact that the contribution of the states with isospin I=0 in the
difference of the amplitudes of the processes \gamma \gamma->\pi^+\pi^- and
\gamma\gamma->\pi^0\pi^0 is very small, we have analyzed the dispersion sum
rules for the difference between the dipole polarizabilities of the charged and
neutral pions as a function of the \sigma-meson parameters. Then taken into
account the current perturbation value of (\alpha-\beta)_\pi^0=-1.9, we have
found (\alpha-\beta)_\pi^(+-)=9.4--8.2 for values of the \sigma-meson parameter
within the region: M_s=400--550 MeV, \Gamma_s=400--600 MeV,
\Gamma_{\s->\gamma\gamma}= 0--3 keV. It has been shown that the value of the
decay width of the h_1(1170)- meson into \gamma\pi^0 can be found if the
difference (\alpha-\beta)_\pi^(+-) is reliably determined from the experiment.
Estimation of the optimal value of the decay width \sigma->\gamma\gamma has
given \Gamma_{\s->\gamma\gamma}<0.7$keV.
