Abstract
The masses of low-lying baryons in the ground states are calculated in a relativistic potential model of independent quarks taking into account perturbatively the contribution of the quark-gluon coupling due to one-gluon exchange along with that of pseudoscalar meson exchange interaction and that of centre-of-mass motion. The effective potential representing phenomenologically the non-perturbative gluon interactions, including the gluon self-couplings, is chosen with equally mixed scalar and vector parts in a non-Coulombic power-law form. The physical masses of the ground state baryons thus obtained with the strong coupling constant αc = 0.165 agree reasonably well with the corresponding experimental values.