Baryonic resonances mass spectrum from a modified perturbative QCD

Abstract

A recently proposed modified perturbation expansion for QCD is employed to evaluate the quark self-energies. Results of the order of 1/3 of the nucleon mass are obtained for the effective masses of the up and down quarks in a first approximation. Also, the predicted flavor dependence of the calculated quarks masses turns out to be the appropriate to well reproduce the spectrum of the ground states within the various groups of hadronic resonances through the simple addition of the evaluated constituent quark masses. The results suggests to conjecture that the modified expansion, after also introducing quark condensates in a same token as the gluonic ones, would be able to furnish a natural explanation of the mass spectrum of the three generations of fundamental fermions.