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The $O(p^4)$ calculation on pion-nucleon elastic scattering amplitude in EOMSscheme within covariant baryon chiral perturbation theory is reviewed.Numerical fits to partial wave amplitudes up to $\sqrt{s}=1.13$ GeV and 1.20GeV are performed and the results are compared with previous studies.

Pion-nucleon elastic scattering amplitude within covariant baryon chiral perturbation theory up to $O(p^4)$ level