Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory

Details Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory

1997-09-15

arxiv.org/abs/hep-ph/9709354v3

Phys.Rev.C57:3356-3375,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

46 pages, RevTex, 14 figures and 2 tables, minor changes for publication

Scientific paper

10.1103/PhysRevC.57.3356

We study pion--nucleon scattering with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars. The scattering amplitude is evaluated to one-loop $Q^3$ order, where $Q$ is a generic small momentum, using a new approach which is equivalent to heavy baryon chiral perturbation theory. We obtain a good fit to the experimental phase shifts for pion center-of-mass kinetic energies up to 100 MeV. A sigma term greater than 45 MeV is favored, but the value is not well determined.

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