2013/08/31 by Susanna Gallas, Francesco Giacosa
Physics and Astronomy · #Chiral symmetry #Isospin #Mirror symmetry #Nuclear physics research studies #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Realization (probability) #Scalar (mathematics) #Scattering #Statistics #hep-ph #nucl-th
paper · pdf · doi:10.1142/s0217751x14500985
published as International Journal 1 of Modern Physics A 2 Vol. 29 (2014) 1450098 · 15 pages, 2 figures, 3 tables. To appear in IJMPA
arxiv created 2014/06/05 · arxiv updated 2014/06/10 · openalex publication_date 2014/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the framework of chiral model(s) based on the linear realization of chiral symmetry, we investigate the low-energy phenomenological properties of the nucleon and its chiral partner (identified with either N(1535) or N(1650)) in the naive assignment and compare the results with the ones obtained in the mirror assignment. We find that, within the naive assignment, we are not able to reproduce the experimental value of the isospin-odd scattering length, while the mirror assignment is in good agreement with it for both choices N(1535) and N(1650). The isospin-even scattering length is not yet conclusive in either assignment because it depends crucially on the poorly known scalar mesonic sector. The decay with Γ N(1535)→Nη turns out to be far too small in both the naive and mirror assignments, while Γ N(1650)→Nη is described correctly by both of them. In conclusion, the mirror assignment with N(1650) as the chiral partner of the nucleon is the favored configuration.