Using a cut-off version of the Hamiltonian of d'Espagnat and Prentki for the strong interactions and assuming the baryons form a mass degenerate system in the absence of interaction, it is shown that the observed baryon mass spectrum is consistent with values of the coupling constants suggested by the dynamical processes, such as π meson-nucleon and K+ meson-nucleon scattering. The π meson-baryon interaction has been taken to be of the (σ · ∇) type and that of the K meson-baryon interaction to be of the γ5 type, and the Rayleigh-Ritz method using a simple one-meson trail wave function is used to calculate the masses.