Structure of baryon states from non-perturbative methods

Abstract

In this approach we have adapted non-perturbative many-body methods to describe baryon-like states built from effective quarks, antiquarks degrees of freedom and collective RPA states. As starting point, we have used the QCD Hamiltonian written in the Coulomb gauge, and considered a confining interaction to describe the non-perturbative effects of dynamical gluons. The effective Hamiltonian used is expressed in terms of the effective quark-antiquark, di-quarks and di-antiquark excitations and approximately diagonalized by mapping quark-antiquark pairs and di-quarks (di-antiquarks) onto phonon states. For the structure of the vacuum of the theory, color-scalar- and color-vector-structures are introduced to account for ground state correlations. We present the structure of the baryon-like states, beyond the common three constituent quarks, describe their interactions and present a simple calculation to illustrate the method.