Relativistic description of constituent quarks - art. no. 025212

In this paper we propose a formalism to remove the center of mass motion of the relativistic three-quark system in order to calculate not only one-bod y operators, but also two-body interactions. We employ various methods used in the past to remove the center of mass motion. We then calculate the mas ses of the nucleon and Delta resonance with residual one-gluon, sigma meson , and pseudoscalar pion and eta meson exchange potentials. Magnetic moments , root mean square radii, pion-nucleon coupling constant, and the axial vec tor coupling constant are also calculated. The main purpose of the calculat ion is to study the effect of the removal of the center of mass motion and investigate the similarities and differences between a relativistic and non relativistic description of constituent quarks. The method projecting onto the total momentum P = 0, is found to give results consistent with experime nts. It is also found that light quark mass and strong confinement are appr opriate to reproduce the nucleon and Delta masses in the relativistic appro ach.