Comparison of the extended linear sigma model and chiral perturbation theory

Abstract

The pion-nucleon scattering amplitudes are calculated in tree approximation with the use of the extended linear sigma model (ELSM) as well as heavy baryon chiral perturbation theory (HB$\chi$PT), and the non-relativistic forms of the ELSM results are compared with those of HB$\chi$PT. We find that the amplitudes obtained in ELSM do not agree with those derived from the more fundamental effective approach, HB$\chi$PT.

arXiv comment7 pages

References in corpus (7)

• Chiral Dynamics in Nucleons and Nuclei
• Three-Body Interactions Among Nucleons and Pions
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Effective Field Theory of Nuclear Forces
• Aspects of chiral pion-nucleon physics
• Chiral Lagrangians and Quark Condensate in Nuclei
• Pion-nucleon scattering and the nucleon sigma term in an extended sigma model

Cited by in corpus (3)

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