Improved description of the pion-nucleon scattering phenomenology in covariant baryon chiral perturbation theory

Abstract

We highlight some of the recent advances in the application of chiral effective field theory (chiral EFT) with baryons to the $\pi N$ scattering process. We recall some problems that cast doubt on the applicability of chiral EFT to $\pi N$ and show how the relativistic formalism, once the $\Delta (1232)$-resonance is included as an explicit degree of freedom, solves these issues. Finally it is shown how this approach can be used to extract the $\sigma$-terms from phenomenological information.

Contribution to the 13th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU 2013), Rome, Italy, 30 September - October 4, 2013. 4 pages, 1 figure

References in corpus (6)

• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• New insights into the spin structure of the nucleon
• Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory
• Phase-shift analysis of low-energy ${\pi }^{\pm }p$ elastic-scattering data