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Elimination of ambiguities in pion-pion phase shifts using crossing symmetry

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arxiv hep-ph/0210334 v1 pith:V5ML465K submitted 2002-10-24 hep-ph

R. Kaminski , L. Lesniak , B. Loiseau This is my paper · ORCID
classification hep-ph
keywords crossingsymmetryequationsphasepion-pionshiftssolutionambiguities
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Roy's equations, which incorporate crossing symmetry of the pion-pion scattering amplitudes, are used to resolve the present ambiguity between two solutions for the scalar-isoscalar phase shifts below 1 GeV. It is shown that the "down-flat" solution satisfies well Roy's equations and consequently crossing symmetry while the other solution called "up-flat" does not and thus should be eliminated.

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  1. Global parametrizations of $\pi\pi$ scattering with dispersive constraints: Beyond the S0 wave

    hep-ph 2024-12 conditional novelty 6.0 of 10

    New global, dispersion-constrained parametrizations for the S2, P, D, F, and G pion-pion partial waves, valid to roughly 1.8 to 2.1 GeV.

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