Low Energy Pion--Nucleon Scattering in the Heavy Baryon and Infrared Schemes

Details Low Energy Pion--Nucleon Scattering in the Heavy Baryon and Infrared Schemes Low Energy Pion--Nucleon Scattering in the Heavy Baryon and Infrared Schemes

2002-08-23

arxiv.org/abs/nucl-th/0208049v2

Phys.Rev. C67 (2003) 015208

Physics

Nuclear Physics

Nuclear Theory

20 pages revtex, minor revisions, to be published in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.67.015208

We study pion--nucleon scattering with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars to order $Q^3$, where $Q$ is a generic small momentum. We compare the results from heavy baryon chiral perturbation theory with those from the infrared regularization scheme. While the former provides a reasonable fit to the data out to a pion c.m. kinetic energy of 100 MeV, the latter is only able to fit up to 40 MeV and even then the parameters obtained are unreasonable. Difficulties with the infrared scheme in the $u$-channel are discussed.

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