On the possibility of the condensation of the charged rho-meson field in dense isospin asymmetric baryon matter

It is shown that at sufficiently large density the isospin-asymmetric baryon matter may undergo the phase transition to the rho-condensate state being characterized by the finite values of the charged rho-meson mean fields. The appearance of such a condensate diminishes the asymmetry energy of the baryon matter. It is shown that in the neutron stars the corresponding phase transition is of the first order. Possible consequences are enumerated.