6533b823fe1ef96bd127ee10

RESEARCH PRODUCT

Chiral Symmetry of Baryons

Atsushi HosakaMakoto OkaDaisuke Jido

subject

Nuclear and High Energy PhysicsParticle physicsChiral perturbation theoryPhysics and Astronomy (miscellaneous)Spontaneous symmetry breakingmedia_common.quotation_subjectHigh Energy Physics::LatticeNuclear TheoryFOS: Physical sciencesAsymmetryGroup representationPionHigh Energy Physics - Phenomenology (hep-ph)Nambu–Jona-Lasinio modelNuclear Experimentmedia_commonChiral anomalyQuantum chromodynamicsPhysicsChiral symmetryHigh Energy Physics::PhenomenologySigmaParity (physics)BaryonHigh Energy Physics - PhenomenologyChiral symmetry breakingNucleon

description

We study chiral symmetry aspects of the positive and negative parity baryons by identifying them with linear representations of the chiral group $SU(N_{f}) \otimes SU(N_{f})$. It is shown that there are two distinctive schemes: naive and mirror assignments. We construct linear sigma models for baryons in the two assignments and examine their physical implications. Then we investigate properties of the naive and mirror nucleons microscopically by using QCD interpolating fields. Finally, we propose experiments to distinguish the two chiral assignments for the nucleon.

https://dx.doi.org/10.48550/arxiv.hep-ph/0110005