dorsal/arxiv
View SchemaCompton Scattering on the Charged Pion and the Process \gamma\gamma \to \pi^0 \pi^0
| Authors | L. V. Fil'kov, V. L. Kashevarov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9810074 |
| URL | https://arxiv.org/abs/nucl-th/9810074 |
| DOI | 10.1007/s100500050287 |
| Journal | Eur.Phys.J.A5:285-292,1999 |
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, 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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"abstract": "The Compton scattering on a charged pion and the process \\gamma\\gamma \\to\n\\pi^0\\pi^0 are studied using the dispersion relations. Unknown parameters of\nthe S-wave \\pi\\pi interaction, represented as a board Breit-Wignar resonance,\nand a sum and a difference of the \\pi^0 meson polarizabilities are found from a\nfit to the experimental data for the process \\gamma+\\gamma \\to \\pi^0+\\pi^0.\nThis fit gives \\alpha+\\beta=0.98\\pm 0.03 and \\alpha-\\beta=-1.6\\pm 2.2. The\nfound parameters of the S-wave \\pi\\pi interaction are used for the calculation\nof the cross section of the Compton scattering on \\pi^{\\pm} meson. The analysis\nof the obtained results shows that the experimental data for the elastic\n\\gamma\\pi scattering in the energy region up to 1 GeV together with the data\nfor the process \\gamma+\\gamma \\to \\pi^0+\\pi^0 could be used both for a\ndetermination of the pion polarizability values with quite high accuracy and\nfor study of the S-wave \\pi\\pi interaction.",
"arxiv_id": "nucl-th/9810074",
"authors": [
"L. V. Fil\u0027kov",
"V. L. Kashevarov"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1007/s100500050287",
"journal_ref": "Eur.Phys.J.A5:285-292,1999",
"title": "Compton Scattering on the Charged Pion and the Process \\gamma\\gamma \\to \\pi^0 \\pi^0",
"url": "https://arxiv.org/abs/nucl-th/9810074"
},
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