2018/09/19 by Takahiro Yamazaki, Masayasu Harada · 23 citations
Physics and Astronomy · #Chiral anomaly #Chiral model #Chiral perturbation theory #Chiral symmetry #Fermion #Geometry #Invariant (physics) #Lattice (music) #Mathematical physics #Nuclear physics research studies #Nucleon #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quark #Symmetry group #hep-ph
paper · pdf · doi:10.1103/physrevd.99.034012
published in Physical review. D/Physical review. D. 99(3) (American Physical Society) · 10 pages,13 figures
arxiv created 2018/09/19 · openalex created_date 2018/09/27 · openalex publication_date 2019/02/20 · arxiv updated 2019/02/27 · openalex updated_date 2026/08/06
We study chiral partner structure of four light nucleons, N(939), N(1440), N(1535) and N(1650), using an effective chiral model based on the parity doublet structure. In our model we introduce four chiral representations, (1,2), (2,1), (2,3) and (3,2), under SU(2)L\ensuremath\bigotimesSU(2)R symmetry. We determine the model parameters by fitting them to available experimental values of masses, widths and the axial charge of N(939) together with the axial charges of N(1535) and N(1650) by lattice analyses. We find five groups of solutions: In a group the chiral partner to N(939) is N(1440) having small chiral invariant mass. In another group, the chiral partner is a mixture of N(1535) and N(1650) having a large chiral invariant mass. Using the solutions, we give phenomenological predictions on the axial charges and changes of masses associated with chiral symmetry restoration.