Ground-state baryon masses in an equally mixed scalar-vector linear potential model

Abstract

Taking into account the pionic self-energy of the baryons, the color-electrostatic and magnetostatic energies due to one-gluon exchange, and the corrections due to the center-of-mass motion, the ground-state masses of the octet baryons are calculated in a chiral symmetric potential model of independent quarks. The effective potential representing phenomenologically the nonperturbative gluon interactions, including gluon self-couplings, is chosen with equally mixed scalar and vector parts in a linear form. The physical masses of the baryons so obtained with the strong coupling constant \ensuremath{\alpha}${}_{c}$=0.576 agree very well with the corresponding experimental values.