Isospin-breaking corrections to the pion-nucleon scattering lengths
High Energy Physics - Phenomenology
2014-11-20 v1 Nuclear Theory
Abstract
We analyze isospin breaking through quark mass differences and virtual photons in the pion-nucleon scattering lengths in all physical channels in the framework of covariant baryon chiral perturbation theory. The so-called triangle relation is found to be violated by about 1.5 %. We encounter a substantial isospin-breaking correction to neutral-pion-nucleon scattering beyond Weinberg's prediction due to a cusp effect. Finally, the application to hadronic atoms is briefly discussed.
Keywords
Cite
@article{arxiv.0910.0736,
title = {Isospin-breaking corrections to the pion-nucleon scattering lengths},
author = {Martin Hoferichter and Bastian Kubis and Ulf-G. Meißner},
journal= {arXiv preprint arXiv:0910.0736},
year = {2014}
}
Comments
6 pages, 2 figures, Proceedings for the 6th International Workshop on Chiral Dynamics, Bern, Switzerland, July 6-10, 2009