Compton Scattering on the Charged Pion and the Process γγ\to π^0 π^0

Details Compton Scattering on the Charged Pion and the Process γγ\to π^0 π^0 Compton Scattering on the Charged Pion and the Process γγ\to π^0 π^0

1998-10-28

arxiv.org/abs/nucl-th/9810074v2

Eur.Phys.J.A5:285-292,1999

Physics

Nuclear Physics

Nuclear Theory

LaTex, 19 pages including 6 figures. Substantial revised version

Scientific paper

10.1007/s100500050287

The Compton scattering on a charged pion and the process \gamma\gamma \to \pi^0\pi^0 are studied using the dispersion relations. Unknown parameters of the S-wave \pi\pi interaction, represented as a board Breit-Wignar resonance, and a sum and a difference of the \pi^0 meson polarizabilities are found from a fit to the experimental data for the process \gamma+\gamma \to \pi^0+\pi^0. This fit gives \alpha+\beta=0.98\pm 0.03 and \alpha-\beta=-1.6\pm 2.2. The found parameters of the S-wave \pi\pi interaction are used for the calculation of the cross section of the Compton scattering on \pi^{\pm} meson. The analysis of the obtained results shows that the experimental data for the elastic \gamma\pi scattering in the energy region up to 1 GeV together with the data for the process \gamma+\gamma \to \pi^0+\pi^0 could be used both for a determination of the pion polarizability values with quite high accuracy and for study of the S-wave \pi\pi interaction.

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