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Elimination of Ambiguities in $\pi\pi$ Amplitudes Using Roy's Equations

Abstract : 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.
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http://hal.in2p3.fr/in2p3-00192255
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Submitted on : Tuesday, November 27, 2007 - 1:50:23 PM
Last modification on : Friday, April 10, 2020 - 5:28:08 PM

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R. Kaminski, L. Lesniak, B. Loiseau. Elimination of Ambiguities in $\pi\pi$ Amplitudes Using Roy's Equations. Meson 2002: 7th International Workshop on Production, Properties and Interaction of Mesons, May 2002, Cracow, Poland. ⟨in2p3-00192255⟩

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