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Meson 2002: 7th International Workshop on Production, Properties and Interaction of Mesons, Cracow : Pologne (2002)
Elimination of Ambiguities in $\pi\pi$ Amplitudes Using Roy's Equations
R. Kaminski, L. Lesniak, B. Loiseau1

Roy's equations are used to check if scalar-isoscalar pi-pi amplitudes fitted to the ``up-flat'' and ``down-flat'' phase shift solutions fulfill crossing symmetry below 1 GeV. It is shown that the amplitude fitted to the ``down-flat'' solution satisfies crossing symmetry while the ``up-flat'' one does not. In such a way the ``up-down'' ambiguity in the scalar-isoscalar phase shifts is resolved in favour of the ``down-flat'' solution.
1 :  LPNHE - Laboratoire de Physique Nucléaire et de Hautes Énergies
Physique/Physique des Hautes Energies - Phénoménologie
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