English

Virtual photons in baryon chiral perturbation theory

High Energy Physics - Phenomenology 2009-10-31 v1 Nuclear Theory

Abstract

We construct the general Lagrangian for relativistic and heavy baryon chiral perturbation theory with virtual photons to fourth order. We work out the electromagnetic and strong isospin violating contributions to the nucleon self-energy, the nucleon mass and the scalar form factor of the nucleon. Electromagnetic effects for the shift to the Cheng-Dashen point can be as large as 2 MeV. We also discuss the corrections to Weinberg's prediction for the scattering length difference a(π0p)a(π0n)a(\pi^0 p) - a(\pi^0 n) and show that they are small.

Keywords

Cite

@article{arxiv.hep-ph/9903375,
  title  = {Virtual photons in baryon chiral perturbation theory},
  author = {Guido Müller and Ulf-G. Meißner},
  journal= {arXiv preprint arXiv:hep-ph/9903375},
  year   = {2009}
}

Comments

27 pp, LaTeX, uses epsf