Improved Gell-Mann–Okubo Relations and SU(3) Rotation Excitations of Baryon States

The corrections to the Gell-Mann–Okubo relations of baryon masses are presented in the SU(3) Skyrme model. These corrections are calculated up to the second order in flavor breaking at the skyrmion quantum mechanics. The results are compatible with the experimental data. They could be regarded as a signal of existence of the SU(3) rotation excitation states of baryons: 27-let (with spin 1/2 or 3/2), 10*-let (with spin 1/2) and 35-let (with spin 3/2).