https://doi.org/10.1051/epjconf/201613001006
Pion–nucleon scattering: from chiral perturbation theory to Roy–Steiner equations
1 HISKP (Th) and BCTP, Universität Bonn, 53115 Bonn, Germany
2 INT, University of Washington, Seattle, WA 98195-1550, USA
3 IKP, IAS, and Jülich Center for Hadron Physics, FZ Jülich, 52425 Jülich, Germany
* e-mail: kubis@hiskp.uni-bonn.de
Published online: 29 November 2016
Ever since Weinberg’s seminal predictions of the pion–nucleon scattering amplitudes at threshold, this process has been of central interest for the study of chiral dynamics involving nucleons. The scattering lengths or the pion–nucleon σ-term are fundamental quantities characterizing the explicit breaking of chiral symmetry by means of the light quark masses. On the other hand, pion–nucleon dynamics also strongly affects the long-range part of nucleon–nucleon potentials, and hence has a far-reaching impact on nuclear physics. We discuss the fruitful combination of dispersion-theoretical methods, in the form of Roy–Steiner equations, with chiral dynamics to determine pion–nucleon scattering amplitudes at low energies with high precision.**
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
