Pion-Nucleon Phase Shifts in Heavy Baryon Chiral Perturbation Theory

Abstract

We calculate the phase shifts in the pion-nucleon scattering using the heavy baryon formalism. We consider phase shifts for the pion energy range of 140 to $200$ MeV. We employ two different methods for calculating the phase shifts - the first using the full third order calculation of the pion-nucleon scattering amplitude and the second by including the resonances $\Delta$ and $N^{\ast }$ as explicit degrees of freedom in the Lagrangian. We compare the results of the two methods with phase shifts extracted from fits to the pion-nucleon scattering data. We find good to fair agreement between the calculations and the phase shifts from scattering data.

14 pages, Latex, 6figures. Revised version to appear in Phys.Rev.D

References in corpus (3)

• Chiral Dynamics in Nucleons and Nuclei
• Systematic 1/M Expansion for Spin 3/2 Particles
• Chiral Prediction for the $\pi N$ Scattering Length $a^{-}$ to Order $\mathcal{O}(M_{\pi }^4)$

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