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HAL : in2p3-00150312, version 1

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Tenth International Conference on Hadron Spectroscopy (Hadron'03), Aschaffenburg : Allemagne
Roy's equations and the pion-pion experimental data
R. Kaminski, L. Lesniak, B. Loiseau1

Roy's equations are used to check if the scalar-isoscalar pion-pion scattering amplitudes fitted to experimental data fulfill crossing symmetry conditions. It is shown that the amplitudes describing the "down-flat'' phase shift solution satisfy crossing symmetry below 1 GeV while the amplitudes fitted to the "up-flat'' data do not. In this way the long standing "up-down" ambiguity in the phenomenological determination of the scalar-isoscalar pion-pion amplitudes has been resolved confirming the independent result of the recent joint analysis of the pi+pi- and pi0pi0 data.
1 :  LPNHE - Laboratoire de Physique Nucléaire et de Hautes Énergies
Physique/Physique des Hautes Energies - Phénoménologie
pion-pion interactions – pion-proton scattering – meson resonances – meson production – S-parameters – mass spectra
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