https://doi.org/10.1051/epjconf/20147305002
Roy–Steiner equations for πN scattering
1 Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany
2 Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Universität Bern, 3012 Bern, Switzerland
3 Institut für Kernphysik, Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425 Jülich, Germany
a e-mail: elvira@hiskp.uni-bonn.de; Speaker.
Published online: 9 June 2014
In this talk, we present a coupled system of integral equations for the πN → πN (s-channel) and ππ → N̅N (t-channel) lowest partial waves, derived from Roy–Steiner equations for pion–nucleon scattering. After giving a brief overview of this system of equations, we present the solution of the t-channel sub-problem by means of Muskhelishvili–Omnès techniques, and solve the s-channel sub-problem after finding a set of phase shifts and subthreshold parameters which satisfy the Roy–Steiner equations.
© Owned by the authors, published by EDP Sciences, 2014
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