Parity doubling of baryons in a chiral approach with three flavors

Understand

We formulate a set of mass relations for the baryon octet and decuplet with positive and negative parity in terms of the order parameter of QCD chiral symmetry.

• The Gell-Mann--Okubo mass formula and Gell-Mann's equal spacing rule hold manifestly in this approach.
• Thermal masses of the baryons are calculated in the mean field approximation for various pion masses, and the results are compared with the recent lattice studies.
• A general trend of the nucleon, $\Delta$ and $\Omega$ parity-doublers seen in the available lattice data can be understood qualitatively.