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

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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http://hal.in2p3.fr/in2p3-00192260
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Submitted on : Tuesday, November 27, 2007 - 1:59:46 PM
Last modification on : Saturday, April 11, 2020 - 2:10:10 AM

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R. Kaminski, L. Lesniak, B. Loiseau. Elimination of ambiguities in pion-pion phase shifts using crossing symmetry. Physics Letters B, Elsevier, 2003, 551, pp.241-248. ⟨10.1016/S0370-2693(02)03021-6⟩. ⟨in2p3-00192260⟩

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