English

Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields

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

Abstract

We analyze elastic-pion nucleon scattering to third order in the so-called small scale expansion. It is based on an effective Lagrangian including pions, nucleons and deltas as active degrees of freedom and counting external momenta, the pion mass and the nucleon-delta mass splitting as small parameters. The fermion fields are considered as very heavy. We present results for phase shifts, threshold parameters and the sigma term. We discuss the convergence of the approach. A detailed comparison with results obtained in heavy baryon chiral perturbation theory to third and fourth order is also given.

Keywords

Cite

@article{arxiv.hep-ph/0006299,
  title  = {Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields},
  author = {Nadia Fettes and Ulf-G. Meißner},
  journal= {arXiv preprint arXiv:hep-ph/0006299},
  year   = {2009}
}

Comments

44 pp, LaTeX2e, uses epsf, 6 figs