3 research outputs found
Baryon Masses at Second Order in Chiral Perturbation Theory
We analyze the baryon mass differences up to second order in chiral
perturbation theory, including the effects of decuplet intermediate states. We
show that the Coleman--Glashow relation has computable corrections of order
. These corrections are numerically small, and in agreement
with the data. We also show that corrections to the equal-spacing rule
are dominated by electromagnetic contributions, and that the Gell-Mann--Okubo
formula has non-analytic corrections of order which cannot be
computed from known matrix elements. We also show that the baryon masses cannot
be used to extract model-independent information about the current quark
masses.Comment: 11 pages, 1 uu-encoded figure, LBL-34779, UCB-PTH-93/2