Radial Excitations of the Decuplet Baryons

The ground and first excited states of the decuplet baryons are studied using the two-point QCD sum rule approach. The mass and residue of these states are computed and compared with the existing experimental data and other theoretical predictions. The results for the masses of the ground state particles as well as the excited $\mathrm{\Delta }$ and ${\mathrm{\Sigma }}^{\ast }$ states are in good consistency with experimental data. Our results on the excited ${\mathrm{\Xi }}^{\ast }$ and ${\mathrm{\Omega }}^{-}$ states reveal that the experimentally poorly known $\mathrm{\Xi }(1950)$ and ${\mathrm{\Omega }}^{-}(2250)$ can be assigned as the first excited states in ${\mathrm{\Xi }}^{\ast }$ and ${\mathrm{\Omega }}^{-}$ channels, respectively.