Solution of the relativistic bound state problem for hadrons

Abstract

A second order extension of the QED Lagrangian (including boson-boson coupling) has been used to describe q\bar q hadrons. Assuming massless elementary fermions (quantons) this results in a finite theory without open parameters, which may be regarded as a fundamental description of the strong interaction. Two potentials are deduced, a boson-exchange potential and one, which can be identified with the known confinement potential in hadrons. This formalism has been applied the mesonic systems omega(782), Phi(1020), J/psi(3097) and Upsilon(9460), for which a good description is obtained. The most important results are: 1. The confinement of hadrons is not due to colour, but is a general property of relativistic bound states. 2. Massive quarks in the Standard Model (QCD) are understood as effective fermions with a mass given by the binding energy in the boson-exchange potential.