EPJ

2021 Impact factor 3.131
EPJ A - Hadrons and Nuclei
Hadrons and Nuclei
Eur. Phys. J. A 5, 285-292

Compton scattering on the charged pion and the process $\gamma\gamma\to \pi^0 \pi^0$

L.V. Fil'kov - V.L. Kashevarov

Lebedev Physical Institute, Leninsky Prospect 53, 117924 Moscow, Russia. (e-mail: filkov@x4u.lpi.ruhep.ru)

Received: 20 November 1998 / Revised version: 22 January 1999 Communicated by W. Weise

Abstract
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 and a sum and a difference of the $\pi^0$ meson polarizabilities are found from a fit to the experimental data for the $\gamma\gamma\to \pi^0 \pi^0$ process. The found parameters of the $\pi\pi$interaction are used for the calculation of the cross section of the elastic $\gamma\pi^{\pm}$ scattering. The analysis of the obtained results shows that the experimental data for the elastic $\gamma\pi^{\pm}$ scattering in the energy region up to 1 GeV together with the data for the $\gamma\gamma\to \pi^0 \pi^0$process could be used both for a determination of the pion polarizability values and for study of the S-wave $\pi\pi$ interaction.

PACS
13.60.Fz Elastic and Compton scattering - 11.55.Fv Dispersion relations - 14.40.-n Mesons

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