Münster 2011 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 58: Hadronenstruktur und -spektroskopie IX
HK 58.7: Talk
Thursday, March 24, 2011, 18:15–18:30, C-2
Roy–Steiner equations for π N scattering - The Muskhelishvili–Omnès problem for the t-channel partial waves — •Christoph Ditsche1, Martin Hoferichter1, Bastian Kubis1, and Ulf-G. Meißner1,2 — 1Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany — 2Institut für Kernphysik (Theorie), Institute for Advanced Simulations, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany
Starting from (subtracted) hyperbolic dispersion relations for π N scattering, which are based on the general principles of Lorentz invariance, unitarity, crossing and analyticity as well as isospin symmetry, we propose a closed system of (subtracted) hyperbolic partial wave dispersion relations for the partial waves fl±I(√s) of the s-channel reaction π N→π N and the partial waves f±J(t) of the t-channel reaction ππ→NN in the spirit of Roy and Steiner. A key step to the ultimate goal of solving this Roy–Steiner system is to first solve the corresponding (subtracted) Muskhelishvili–Omnès problem with inelasticities and a finite matching point for the lowest t-channel partial waves f+0(t), f±1(t) . The recent status of this ongoing effort will be presented.