English

Light quark mass differences in the $\pi^0 - \eta - \eta'$ system

High Energy Physics - Phenomenology 2016-06-08 v1

Abstract

A generalized 3 flavor Nambu-Jona--Lasinio Lagrangian including the explicit chiral symmetry breaking interactions which contribute at the same order in the large 1/Nc1/N_c counting as the UA(1)U_A(1) 't Hooft flavor determinant is considered to obtain the mixing angles in the π0ηη\pi^0-\eta-\eta' system and related current quark mass ratios in close agreement with phenomenological values. At the same time an accurate ordering and magnitude of the splitting of states in the low lying pseudoscalar nonet is obtained.

Keywords

Cite

@article{arxiv.1606.01945,
  title  = {Light quark mass differences in the $\pi^0 - \eta - \eta'$ system},
  author = {A. A. Osipov and B. Hiller and A. H. Blin and J. Moreira},
  journal= {arXiv preprint arXiv:1606.01945},
  year   = {2016}
}

Comments

6 pages, 4 tables, presented at the workshop "Excited QCD 2016", 05-12 March 2016, Costa da Caparica, Portugal. Submitted to Acta Phys. Pol. B

R2 v1 2026-06-22T14:19:05.602Z