Description of the low-mass meson-like spectrum in non-perturbative QCD

Abstract

In this work we shall explore the identification and use of effective degrees of freedom, for the description of the non-perturbative regime of QCD. The starting Hamiltonian is the effective Coulomb plus linear potential. In order to build the spectrum of effective quark degrees of freedom, starting from arbitrary chosen quark masses, we shall pre-diagonalized the Hamiltonian. Then, we shall include quark-pair correlations and treat them by applying Bogoliubov transformations. The resulting quasiparticle excitations are then used to construct non-interacting two quasi-quark states with energies up to 2 GeV, which are compared to the observed meson-like states in the same energy domain.