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Knowledge of the equation of state of the baryon matter plays a decisive rolein the description of neutron stars. With an increase of the baryon density thefilling of Fermi seas of hyperons and $\Delta$ isobars becomes possible. Theirinclusion into standard relativistic mean-field models results in a strongsoftening of the equation of state and a lowering of the maximum neutron starmass below the measured values. We extend a relativistic mean-field model withscaled hadron masses and coupling constants developed in our previous works andtake into account now not only hyperons but also the $\Delta$ isobars. Weanalyze available empirical information to put constraints on couplingconstants of $\Delta$s to mesonic mean fields. We show that the resultingequation of state satisfies majority of presently known experimentalconstraints.

The effect of inclusion of $\Delta$ resonances in relativistic mean-field model with scaled hadron masses and coupling constants