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

Kenichi Torikoshi; Paul J. Ellis (University of Minnesota)

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

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arxiv nucl-th/0208049 v2 pith:7Q7Q5U47 submitted 2002-08-23 nucl-th hep-ph

Kenichi Torikoshi , Paul J. Ellis (University of Minnesota) This is my paper

classification nucl-thhep-ph

keywords infraredbaryonchiralenergyheavypion--nucleonscatteringscheme

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abstract

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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Pion-Nucleon Scattering in Baryon Chiral Perturbation Theory combined with the ${ 1/N_c}$ Expansion
hep-ph 2025-06 conditional novelty 6.0 of 10

A one-loop chiral-plus-1/Nc effective field theory with the nucleon and Delta in a spin-flavor multiplet is fitted to SAID pion-nucleon scattering data up to 350 MeV.

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