QCD-based origin of the particle mass discreteness

Abstract

We consider the accurate relations in the tuning effect in particle masses which consists in integer relations between masses of leptons and hadrons. The role of the QCD based gluon-quark-dressing effect and relations with the constituent quark masses are discussed. In this work, for the first time a check of these relations was performed by the analysis of particle masses from the Particle Data Group Compilation (PDG-2016). In the distribution of all differences between 137 particles known with the accuracy better than 5–8 MeV the grouping effects in difference of masses in the region of the pion mass (142 MeV), the muon mass (107 MeV), the constituent quark mass (445–460 MeV) and bottom quark mass (3960 MeV) were confirmed. The stability of mass intervals in the region of the constituent quark mass and bottom-quark mass is discussed in the connection with masses of fundamental fields.