Pion-Nucleon Scattering in Chiral Perturbation Theory

Pion-Nucleon Scattering in Chiral Perturbation Theory
Dmitrij Siemens, Ruhr U.
Date and time: Tue, Nov 15, 2016 - 2:30pm
Location: LGRT 419B
Category: ACFI Seminar
Abstract:
Elastic pion-nucleon scattering is analyzed in the framework of chiral perturbation theory at the full one-loop order with explicit $\Delta$ degrees of freedom. The analysis is performed in the small scale expansion within the heavy baryon and a covariant approach based on the extended on mass-shell renormalization scheme. The pertinent low-energy constants contributing to the pion-nucleon scattering amplitude are extracted from fits to experimental scattering data as well as subthreshold parameters. A novel approach to estimate the theoretical uncertainty based on the truncation of the chiral series is employed in the fitting procedure. The obtained results for the various pion-nucleon scattering observables are presented and discussed.