Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10726281 | Progress in Particle and Nuclear Physics | 2012 | 5 Pages |
Abstract
We present a determination of the pion-nucleon sigma-term based on a novel analysis of the ÏN scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This amplitude, valid up-to next-to-next-leading order in the chiral expansion, systematically includes the effects of Î(1232), giving a reliable description of the phase shifts of different partial wave analyses up to energies just below the resonance region. We obtain predictions on some observables that are within experimental bounds and phenomenological expectations. In particular, we use the centre-of-mass energy dependence of the amplitude adjusted with the data above threshold to extract accurately the value of ÏÏN. Our study indicates that the inclusion of modern meson-factory and pionic-atom data favours relatively large values of the sigma term. We report the value ÏÏN=59(7)Â MeV.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
J. Martin Camalich, J.M. Alarcón, J.A. Oller,