Elastic pion-nucleon Scattering to O(p^3) in Heavy Baryon Chiral Perturbation Theory

Details Elastic pion-nucleon Scattering to O(p^3) in Heavy Baryon Chiral Perturbation Theory Elastic pion-nucleon Scattering to O(p^3) in Heavy Baryon Chiral Perturbation Theory

1997-04-28

arxiv.org/abs/hep-ph/9704415v2

Eur.Phys.J.C2:181-195,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages, LaTeX, corrected version - minor changes, to appear in Z.Phys.C

Scientific paper

10.1007/s100520050132

The elastic pi-N scattering amplitude in the isospin limit is calculated in the framework of heavy baryon chiral perturbation theory, up to the third order. Threshold parameters like scattering lengths, volumes, effective ranges, etc. are compared with data. All relevant low energy constants are fixed from the available pion-nucleon data. A clear improvement in the description of data is observed, when going from the first two orders in the chiral expansion to the third one. The importance of even higher orders is suggested by the result.

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