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.
Elimination of ambiguities in pion-pion phase shifts using crossing symmetry
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abstract
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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Global parametrizations of $\pi\pi$ scattering with dispersive constraints: Beyond the S0 wave
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.