### Abstract

We apply the perturbative chiral quark model at one loop to analyze meson-baryon sigma terms. Analytic expressions for these quantities are obtained in terms of fundamental parameters of low-energy pion-nucleon physics (weak pion decay constant, axial nucléon coupling, strong pion-nucleon form factor) and of only one model parameter (radius of the nucleonic three-quark core). Our result for the πN sigma term σ_{πN} ≈45 MeV is in good agreement with the value deduced by Gasser, Leutwyler, and Sainio using dispersionrelation techniques and exploiting the chiral symmetry constraints.

Original language | English |
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Article number | 054026 |

Journal | Physical Review D |

Volume | 63 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2001 |

Externally published | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

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## Cite this

Lyubovitskij, V. E., Gutsche, T., Faessler, A., & Drukarev, E. G. (2001). Sigma-term physics in the perturbative chiral quark model.

*Physical Review D*,*63*(5), [054026]. https://doi.org/10.1103/PhysRevD.63.054026