English

Extracting the sigma-term from low-energy pion-nucleon scattering

High Energy Physics - Phenomenology 2018-01-17 v2 High Energy Physics - Lattice Nuclear Experiment Nuclear Theory

Abstract

We present an extraction of the pion-nucleon (πN\pi N) scattering lengths from low-energy πN\pi N scattering, by fitting a representation based on Roy-Steiner equations to the low-energy data base. We show that the resulting values confirm the scattering-length determination from pionic atoms, and discuss the stability of the fit results regarding electromagnetic corrections and experimental normalization uncertainties in detail. Our results provide further evidence for a large πN\pi N σ\sigma-term, σπN=58(5)\sigma_{\pi N}=58(5) MeV, in agreement with, albeit less precise than, the determination from pionic atoms.

Keywords

Cite

@article{arxiv.1706.01465,
  title  = {Extracting the sigma-term from low-energy pion-nucleon scattering},
  author = {Jacobo Ruiz de Elvira and Martin Hoferichter and Bastian Kubis and Ulf-G. Meißner},
  journal= {arXiv preprint arXiv:1706.01465},
  year   = {2018}
}

Comments

17 pages, 3 figures; journal version

R2 v1 2026-06-22T20:09:41.548Z