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arXiv · 1211.7285

Roy-Steiner equations for pi N scattering

Christoph Ditsche·Martin Hoferichter·Bastian Kubis·Ulf-G. Meißner
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Abstract

Starting from hyperbolic dispersion relations for the invariant amplitudes of pion-nucleon scattering together with crossing symmetry and unitarity, one can derive a closed system of integral equations for the partial waves of both the s-channel (pi N --> pi N) and the t-channel (pi pi --> Nbar N) reaction, called Roy-Steiner equations. After giving a brief overview of the Roy-Steiner system for pi N scattering, we demonstrate that the solution of the t-channel subsystem, which represents the first step in solving the full system, can be achieved by means of Muskhelishvili-Omn\`es techniques. In particular, we present results for the P-waves featuring in the dispersive analysis of the electromagnetic form factors of the nucleon.

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Christoph Ditsche, Martin Hoferichter, Bastian Kubis, Ulf-G. Meißner. 2012-11-30. Roy-Steiner equations for pi N scattering. https://arxiv.org/abs/1211.7285

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