GROUND STATE SPECTRA OF THE NUCLEON OCTET IN A RELATIVISTIC LOGARITHMIC POTENTIAL

Abstract

The ground state spectra of the nucleon octet are studied in a relativistic logarithmic potential model taking into account the contributions of the quark–gluon coupling due to one-gluon-exchange interactions and that of Goldstone boson (π, η, K) exchange interactions between the constituent quarks in a baryon. The baryons are assumed here as an assembly of independent quarks confined in a first approximation by an effective logarithmic potential which presumably represents the nonperturbative gluon interactions, including the gluon self-couplings. This model treats the meson degree of freedom in a perturbative manner as is done in the cloudy bag model. The mass spectrum of low-lying baryons so obtained with the quark–gluon coupling constant αc = 0.195 agree reasonably well with the corresponding experimental values.