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

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arxiv 1706.01465 v2 pith:SOTHOCSB submitted 2017-06-05 hep-ph hep-latnucl-exnucl-th

Jacobo Ruiz de Elvira , Martin Hoferichter , Bastian Kubis , Ulf-G. Mei{ss}ner This is my paper · ORCID
classification hep-phhep-latnucl-exnucl-th
keywords low-energyscatteringatomsdeterminationpion-nucleonpionicresultssigma
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present an extraction of the pion-nucleon ($\pi N$) scattering lengths from low-energy $\pi N$ 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 $\pi N$ $\sigma$-term, $\sigma_{\pi N}=58(5)$ MeV, in agreement with, albeit less precise than, the determination from pionic atoms.

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Cited by 2 Pith papers

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  1. Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A Roy-Steiner dispersive analysis of lattice QCD pion-kaon data at m_pi = 391 MeV finds the κ resonance at (966-i198) MeV, a broad resonance rather than the virtual-state pole reported in K-matrix analyses.

  2. Electroexcitation of Nucleon Resonances and the Emergence of Hadron Mass

    hep-ph 2025-05 conditional novelty 2.0 of 10

    A review argues that Jefferson Lab electroproduction data on nucleon resonances, analyzed with continuum Schwinger methods, confirm a momentum-dependent dressed quark mass, the essence of emergent hadron mass.

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