2022 Impact factor 4.4
Particles and Fields
Eur. Phys. J. C 2, 181-195

Elastic $\bf\pi $N scattering to $\bf{\cal
O}(p^3)$ in heavy baryon chiral perturbation theory

Martin Mojzis

Department of Theoretical Physics, Comenius University, Mlynska dolina, SK-84215 Bratislava, Slovakia (e-mail: mojzis@fmph.uniba.sk)

Received: 29 April 1997

The elastic $\pi $N scattering amplitude in the isospin limit is calculated in the framework of heavy baryon chiral perturbation theory, up to the third order. Threshold parameters like scattering lengths, volumes, effective ranges, etc. are compared with data. All relevant low energy constants are fixed from the available pion-nucleon data. A clear improvement in the description of data is observed, when going from the first two orders in the chiral expansion to the third one. The importance of even higher orders is suggested by the results.

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