We analyze the octet baryon mass differences up to second order in chiral perturbation theory, including the effects of decupletintermediate states. We show that the Coleman-Glashow relation has computable corrections of order (mm-mu)ms. Thesecorrections are numerically small, and in agreement with the data. We also show that corrections to the Σ equal-spacing rule aredominated by electromagnetic contributions, and that the Gell-Mann-Okubo formula has non-analytic corrections of order ms2In ms which cannot be computed from known matrix elements. We also show that the baryon masses cannot be used to extractmodel-independent information about the current quark masses.
ASJC Scopus subject areas
- Nuclear and High Energy Physics