Abstract
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 Delta and Sigma ^{*} states are in good consistency with experimental data. Our results on the excited Xi ^{*} and Omega ^{-} states reveal that the experimentally poorly known Xi (1950) and Omega ^{-}(2250) can be assigned to the first excited states in Xi ^{*} and Omega ^{-} channels, respectively.
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