Pion-Nucleon Phase Shifts in Heavy Baryon Chiral Perturbation Theory

Details Pion-Nucleon Phase Shifts in Heavy Baryon Chiral Perturbation Theory Pion-Nucleon Phase Shifts in Heavy Baryon Chiral Perturbation Theory

1996-06-08

arxiv.org/abs/hep-ph/9606277v2

Phys.Rev. D56 (1997) 4322-4327

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.56.4322

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 $N^*$ 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.

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