Light quark mass differences in the π⁰ - η- η' system

2016/06/06 by A. A. Osipov, Brigitte Hiller, Osipov, A. A. +6
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.1606.01945

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

arxiv created 2016/06/06 · arxiv updated 2016/06/08

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/N_c counting as the U_A(1) 't Hooft flavor determinant is considered to obtain the mixing angles in the π⁰-η-η' 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.

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