Radial Excitations of the Decuplet Baryons

TL;DR

This paper uses QCD sum rules to analyze the masses and residues of ground and excited decuplet baryons, providing theoretical predictions that align well with experimental data and suggesting assignments for poorly known excited states.

Contribution

It offers new QCD sum rule calculations for decuplet baryon excitations, clarifying the nature of certain poorly understood excited states.

Findings

Masses of ground state baryons agree with experimental data.

Excited $ ext{Xi}^*$ and $ ext{Omega}^-$ states match experimental candidates.

Proposes assignments for $ ext{Xi}(1950)$ and $ ext{Omega}(2250)$ as first excited states.

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 as the first excited states in $ \Xi^{*} $ and $ \Omega^{-} $ channels, respectively.