English

Isospin violation in pion-nucleon scattering

High Energy Physics - Phenomenology 2008-11-26 v1 Nuclear Theory

Abstract

We construct the complete effective chiral pion-nucleon Lagrangian in the presence of virtual photons to one loop. As an application, we consider strong and electromagnetic isospin violation for scattering of neutral pions off nucleons. We show that for the scattering lengths these isospin violating terms are of the same size as the purely hadronic ones. We also analyze isospin-violating effects for the σ\sigma--term. These can be as large as 10% for the absolute value but are negligible for the shift to the Cheng-Dashen point.

Keywords

Cite

@article{arxiv.hep-ph/9709453,
  title  = {Isospin violation in pion-nucleon scattering},
  author = {Ulf-G. Meißner and S. Steininger},
  journal= {arXiv preprint arXiv:hep-ph/9709453},
  year   = {2008}
}

Comments

13 pp, LaTeX, uses epsf, 1 fig