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Remarks on the pion-nucleon sigma-term

High Energy Physics - Lattice 2016-07-01 v2 High Energy Physics - Phenomenology Nuclear Theory

Abstract

The pion-nucleon σ\sigma-term can be stringently constrained by the combination of analyticity, unitarity, and crossing symmetry with phenomenological information on the pion-nucleon scattering lengths. Recently, lattice calculations at the physical point have been reported that find lower values by about 3σ3\sigma with respect to the phenomenological determination. We point out that a lattice measurement of the pion-nucleon scattering lengths could help resolve the situation by testing the values extracted from spectroscopy measurements in pionic atoms.

Keywords

Cite

@article{arxiv.1602.07688,
  title  = {Remarks on the pion-nucleon sigma-term},
  author = {Martin Hoferichter and Jacobo Ruiz de Elvira and Bastian Kubis and Ulf-G. Meißner},
  journal= {arXiv preprint arXiv:1602.07688},
  year   = {2016}
}

Comments

5 pages, 2 figures; version published in PLB

R2 v1 2026-06-22T12:57:10.888Z