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

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

2002-10-24

arxiv.org/abs/hep-ph/0210334v1

Phys.Lett.B551:241-248,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 4 figures

Scientific paper

10.1016/S0370-2693(02)03021-6

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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