πN scattering in relativistic baryon chiral perturbation theory revisited

Abstract

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant framework of Infrared Regularization up to {\cal O}(q^3) in the chiral expansion, where q is a generic small momentum. We describe the low-energy phase shifts with a similar quality as previously achieved with Heavy Baryon Chiral Perturbation Theory, \sqrt{s}\lesssim1.14 GeV. New values are provided for the {\cal O}(q^2) and {\cal O}(q^3) low-energy constants, which are compared with previous determinations. This is also the case for the scattering lengths and volumes. Finally, we have unitarized the previous amplitudes and as a result the energy range where data are reproduced increases significantly.

arXiv comment26 pages, 5 figures, 5 tables

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Cited by in corpus (22)

• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
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• $P$-wave coupled-channel scattering of $B_s\pi ,B_s^{\ast }\pi ,B\overline{K},B^{\ast }\overline{K}$ and the puzzling $X(5568)$
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• Nucleon form factors in dispersively improved Chiral Effective Field Theory I: Scalar form factor
• Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis
• Flavor structure of generalized parton distributions from neutrino experiments
• New Insights on Low Energy $\pi N$ Scattering Amplitudes
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• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
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