The role of the input in Roy's equations for pion-pion scattering

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dc.creatorWanders, G.
dc.date2000-05-04
dc.date.accessioned2026-07-07T12:25:59Z
dc.date.available2026-07-07T12:25:59Z
dc.descriptionThe Roy equations determine the S- and P-wave pion-pion phase shifts on a low energy interval. They allow the derivation of threshold parameters from experimental data. We examine the solutions of these equations that are in the neighborhood of a given solution by means of a linearization procedure. An updated survey of known results on the dimension of the manifold of solutions is presented. The solution is unique for a low energy interval with upper end at 800 MeV. We determine its response to small variations of the input: S-wave scattering lengths and absorptive parts above 800 MeV. We confirm the existence of a universal curve of solutions in the plane of the S-wave scattering lengths and provide a control of the decrease of the influence of the input absorptive parts with increasing energy. A general result on the suppression of unphysical singularities at the upper end of the low energy interval is established and its practical implications are discussed.
dc.description33 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0005042
dc.identifierhttp://arxiv.org/abs/hep-ph/0005042
dc.identifierEur.Phys.J.C17:323-336,2000
dc.identifierdoi:10.1007/s100520000459
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214740
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe role of the input in Roy's equations for pion-pion scattering
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