Sigma-term physics in the perturbative chiral quark model
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 nucleon 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 σπN~45 MeV is in good agreement with the value deduced by Gasser, Leutwyler, and Sainio using dispersion-relation techniques and exploiting the chiral symmetry constraints.
- Publication:
-
Physical Review D
- Pub Date:
- March 2001
- DOI:
- 10.1103/PhysRevD.63.054026
- arXiv:
- arXiv:hep-ph/0009341
- Bibcode:
- 2001PhRvD..63e4026L
- Keywords:
-
- 12.39.Ki;
- 11.10.Ef;
- 12.39.Fe;
- 14.20.Dh;
- Relativistic quark model;
- Lagrangian and Hamiltonian approach;
- Chiral Lagrangians;
- Protons and neutrons;
- High Energy Physics - Phenomenology
- E-Print:
- 19 pages, LaTeX-file, 2 Figures