dorsal/arxiv
View SchemaDetermination of $\pi^+-$ meson polarizabilities from the $\gamma\gamma->\pi^+\pi^-$ process
| Authors | L. V. Fil'kov, V. L. Kashevarov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0512047 |
| URL | https://arxiv.org/abs/nucl-th/0512047 |
| DOI | 10.1103/PhysRevC.73.035210 |
| Journal | Phys.Rev.C73:035210,2006 |
Abstract
A fit of the experimental data to the total cross section of the process $\gamma\gamma->\pi^+\pi^-$ in the energy region from threshold to 2500 MeV has been carried out using dispersion relations with subtractions for the invariant amplitudes, where the dipole and the quadrupole polarizabilities of the charged pion are free parameters. As a result, the sum and the difference of the electric and magnetic dipole and quadrupole polarizabilities of the charged pion have been found: $(alpha_1+\beta_1)=(0.18+0.11-0.02)10^(-4)fm^3$, $(alpha_1-\beta_1)=(13.0+3.6-1.9)10^(-4)fm^3$, $(alpha_2+\beta_2)=(0.133+- 0.015)10^(-4)fm^5$, $(alpha_2-\beta_2)=(25.0+0.8-0.3)10^(-4)fm^5$. These values agree with the dispersion sum rule predictions. The value found for the difference of the dipole polarizabilities is consistent with the results obtained from scattering of high energy $\pi^-$ mesons off the Coulomb field of heavy nuclei (Serpukhov (1983)) and from radiative $\pi^+$ photoproduction from the proton at MAMI (2005), while it is at variance with the calculations in the framework of chiral perturbation theory.
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"abstract": "A fit of the experimental data to the total cross section of the process\n$\\gamma\\gamma-\u003e\\pi^+\\pi^-$ in the energy region from threshold to 2500 MeV has\nbeen carried out using dispersion relations with subtractions for the invariant\namplitudes, where the dipole and the quadrupole polarizabilities of the charged\npion are free parameters. As a result, the sum and the difference of the\nelectric and magnetic dipole and quadrupole polarizabilities of the charged\npion have been found: $(alpha_1+\\beta_1)=(0.18+0.11-0.02)10^(-4)fm^3$,\n$(alpha_1-\\beta_1)=(13.0+3.6-1.9)10^(-4)fm^3$, $(alpha_2+\\beta_2)=(0.133+-\n0.015)10^(-4)fm^5$, $(alpha_2-\\beta_2)=(25.0+0.8-0.3)10^(-4)fm^5$. These values\nagree with the dispersion sum rule predictions. The value found for the\ndifference of the dipole polarizabilities is consistent with the results\nobtained from scattering of high energy $\\pi^-$ mesons off the Coulomb field of\nheavy nuclei (Serpukhov (1983)) and from radiative $\\pi^+$ photoproduction from\nthe proton at MAMI (2005), while it is at variance with the calculations in the\nframework of chiral perturbation theory.",
"arxiv_id": "nucl-th/0512047",
"authors": [
"L. V. Fil\u0027kov",
"V. L. Kashevarov"
],
"categories": [
"nucl-th",
"hep-ex",
"hep-ph",
"nucl-ex"
],
"doi": "10.1103/PhysRevC.73.035210",
"journal_ref": "Phys.Rev.C73:035210,2006",
"title": "Determination of $\\pi^+-$ meson polarizabilities from the $\\gamma\\gamma-\u003e\\pi^+\\pi^-$ process",
"url": "https://arxiv.org/abs/nucl-th/0512047"
},
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