Analytical solution of relativistic four quark bound systems

Four-quark Systems *

In order to understand the binding of four static quarks, flux distributions corresponding to these binding energies are studied in quenched SU(2) and also related to a model for the energies. The potential relevant to string breaking between two heavy-light mesons is measured in quenched SU(3) using stochastic estimates of light quark propagators with the Sheikholeslami-Wohlert action. Our goa...

Baryons as Relativistic Bound States of Quark and Diquark

Non-Relativistic QCD for Heavy Quark Systems

We employ a nonrelativistic version of QCD (NRQCD) to study heavy qq̄-bound states in the lowest approximation without fine structure. We use gluon configurations on a 16×48-lattice at β = 6.2 from the UKQCD collaboration. For a bare quark mass near that of the b-quark (Ma = 1.6) we obtain the bound state masses for the S, P and both types of D-waves. We also detect signals for two types of hybr...

Baryons as Relativistic Three-Quark Systems

We discuss some recent developments in the description of baryons as three-quark systems within relativistic constituent quark models. In particular we address the issues of excitation spectra, electroweak structure, and mesonic resonance decays. The necessities of implementing simultaneously the symmetries of low-energy quantum chromodynamics and of relativistic invariance are emphasized. 1 In...

The Relativistic and Non Relativistic Quark-antiquark Bound State Problem in a Wilson Loop Context

The paper is on the line of the path integral technique developped in preceding articles. Taking advantage of a semirelativistic and a full relativistic representation of the quark propagator in an external field we present an unified derivation of the semirelativistic potential and of a Bethe–Salpeter like equation for the quark– antiquark system. We consider three different models for the eva...