NEW MASS FORMULA FOR OCTET AND DECUPLET BARYONS

The general parametrization method [Phys. Rev. D 40, 2997 (1989)] (an exact consequence of a QCD-like relativistic field theory) is used to parametrize the masses of 8 and 10 baryons to second order in flavor breaking. Because at first order in flavor breaking, three-quark contributions to octet masses are very small, we neglect such contributions at second order and derive a "corrected" Gell-Mann-Okubo formula; when written in a way free from electromagnetic corrections, it is 1/2 (n + XI-0) + T = 1/4 (3-LAMBDA + SIGMA+) with T = XI*- - 1/2 (OMEGA + SIGMA*) and SIGMA+ = 2-SIGMA+ - SIGMA-0 + 2(n - p). The two sides of the formula are respectively 1132.4 +/- 0.8 and 1133.9 +/- 0.1 MeV.