Parity doubling of baryons in a chiral approach with three flavors

Abstract

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. Expected mass modifications of other strange baryons are also given with the physical and heavier pion masses.

7 pages, 3 figures; (v2) typos corrected, minor corrections (v3) version accepted for publication

References in corpus (6)

• Big-Bang Nucleosynthesis
• Cold, dense nuclear matter in a SU(2) parity doublet model
• Nuclear Matter and Neutron stars in a Parity Doublet Model
• An effective model for the QCD phase transitions at finite baryon density
• Neutron stars within the SU(2) parity doublet model
• Catalysis of partial chiral symmetry restoration by Delta matter

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• Net-baryon number fluctuations in the Hybrid Quark-Meson-Nucleon model at finite density
• Chiral symmetry restoration and the $\Delta$ matter formation in neutron stars
• Casimir effect for nucleon parity doublets
• Chiral spin symmetry and hot/dense QCD
• Repulsive properties of hadrons in lattice QCD data and neutron stars
• Baryon parity doublets and chiralspin symmetry
• Net-proton number fluctuations in the presence of the QCD critical point
• Effect of finite volume on thermodynamics of quark-hadron matter
• Observation of the $\Omega$(2012) baryon at the LHC
• From Cosmic Matter to the Laboratory