6533b82cfe1ef96bd129000e

RESEARCH PRODUCT

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

Jose Manuel Alarcón

subject

PhysicsChiral perturbation theoryNuclear TheoryScatteringPhysicsQC1-999High Energy Physics::LatticeHigh Energy Physics::PhenomenologyNuclear TheoryFOS: Physical sciencesScattering processCovarianceBaryonNuclear Theory (nucl-th)Formalism (philosophy of mathematics)Theoretical physicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Effective field theoryCovariant transformation

description

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.

https://dx.doi.org/10.48550/arxiv.1401.7789