Relativistic mean-field model with scaled hadron masses and couplings

Here we continue to elaborate properties of the relativistic mean-field based model (SHMC) proposed in [A.S. Khvorostukhin, V.D. Toneev, D.N. Voskresensky, Nucl. Phys. A 791 (2007) 180] where hadron masses and coupling constants depend on the σ-meson field. The validity of approximations used in this reference is discussed. We additionally incorporate contribution of meson excitations to the equations of motion. We also estimate the effects of the particle width. It is demonstrated that the inclusion of the baryon–baryon hole and baryon–antibaryon loop terms, if performed perturbatively, destroys the consistency of the model.