dorsal/arxiv
View SchemaDetermination of \pi^0 meson quadrupole polarizabilities from the process \gamma\gamma -> \pi^0\pi^0
| Authors | L. V. Fil'kov, V. L. Kashevarov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0505058 |
| URL | https://arxiv.org/abs/nucl-th/0505058 |
| DOI | 10.1103/PhysRevC.72.035211 |
| Journal | Phys.Rev.C72:035211,2005 |
Abstract
A fit of the experimental data to the total cross section of the process \gamma\gamma->\pi^0\pi^0 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 \pi^0 meson have been found for the first time: (\alpha2+\beta2)_\pi^0=(-0.181+-0.004)*10^{-4}fm^5, (\alpha2-\beta2)_pi^0=(39.70+-0.02)*10^{-4}fm^5. In addition, dispersion sum rules have been constructed for this sum and difference, respectively. The values of (\alpha2-\beta2)_\pi^0 and (\alpha2+\beta2)_\pi^0 extracted from the experimental data on the process \gamma\gamma->\pi^0\pi^0 are in good agreement with the result of calculations in the framework of these dispersion sum rules.
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"abstract": "A fit of the experimental data to the total cross section of the process\n\\gamma\\gamma-\u003e\\pi^0\\pi^0 in the energy region from 270 to 2250 MeV has been\ncarried out using dispersion relations for the invariant amplitudes where the\nquadrupole polarizabilities are free parameters. As a result the sum and\ndifference of the electric and magnetic quadrupole polarizabilities of the\n\\pi^0 meson have been found for the first time:\n(\\alpha2+\\beta2)_\\pi^0=(-0.181+-0.004)*10^{-4}fm^5,\n(\\alpha2-\\beta2)_pi^0=(39.70+-0.02)*10^{-4}fm^5. In addition, dispersion sum\nrules have been constructed for this sum and difference, respectively. The\nvalues of (\\alpha2-\\beta2)_\\pi^0 and (\\alpha2+\\beta2)_\\pi^0 extracted from the\nexperimental data on the process \\gamma\\gamma-\u003e\\pi^0\\pi^0 are in good agreement\nwith the result of calculations in the framework of these dispersion sum rules.",
"arxiv_id": "nucl-th/0505058",
"authors": [
"L. V. Fil\u0027kov",
"V. L. Kashevarov"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1103/PhysRevC.72.035211",
"journal_ref": "Phys.Rev.C72:035211,2005",
"title": "Determination of \\pi^0 meson quadrupole polarizabilities from the process \\gamma\\gamma -\u003e \\pi^0\\pi^0",
"url": "https://arxiv.org/abs/nucl-th/0505058"
},
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