Unitarized pion-nucleon scattering within Heavy Baryon Chiral Perturbation Theory

Abstract

By means of the Inverse Amplitude Method we unitarize the elastic pion-nucleon scattering amplitudes obtained from Heavy Baryon Chiral Perturbation Theory to O(q^3). Within this approach we can enlarge their applicability range and generate the Delta(1232) resonance. We can find a reasonable description of the pion nucleon phase shifts with (q^2) parameters in agreement with the resonance saturation hypothesis. However, the uncertainties in the analysis of the low energy data as well as the large number of chiral parameters, which can have strong correlations, allow us to obtain very good fits with rather different sets of chiral constants.

Shortened version to appear in Phys. Rev. D. Brief Reports

References in corpus (1)

• Pion-nucleon scattering inside the Mandelstam triangle

Cited by in corpus (15)

• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Chiral unitary approach to S-wave meson baryon scattering in the strangeness S=0 sector
• $S=-1$ Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory and the $S_{01}-$ $\Lambda$(1405) and $-\Lambda$(1670) Resonances
• The $S_{11}-N$(1535) and $-N$(1650) Resonances in Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory
• Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian
• The Inverse Amplitude Method and Adler Zeros
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Bethe-Salpeter Approach for the $P_{33}$ Elastic Pion-Nucleon Scattering in Heavy Baryon Chiral Perturbation Theory
• Improved Unitarized Heavy Baryon Chiral Perturbation Theory for pion-nucleon Scattering to fourth order
• Chiral condensate thermal evolution at finite baryon chemical potential within Chiral Perturbation Theory
• Unitarized chiral perturbation theory of hadrons
• Meson-baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Unitarized pion-nucleon scattering amplitude from inverse amplitude method
• Precision dispersive approaches versus unitarized Chiral Perturbation Theory for the lightest scalar resonances $\sigma /f_0(500)$ and $\kappa /K_0^{\ast }(700)$