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The possibility of the pion condensation phenomenon in cold and electricallyneutral dense baryonic matter is investigated in $\beta$-equilibrium. Forsimplicity, the consideration is performed in the framework of a NJL model withtwo quark flavors at zero current quark mass and for rather small values of thebaryon chemical potential, where the diquark condensation might be ignored. Twosets of model parameters are used. For the first one, the pion condensed phasewith finite baryon density is realized. In this phase both electrons and thepion condensate take part in the neutralization of the quark electric charge.For the second set of model parameters, the pion condensation is impossible ifthe neutrality condition is imposed. The behaviour of meson masses vs quarkchemical potential has been studied in electrically neutral matter.Comment: 7 pages; 3 figures; one reference added; to be published in  Eur.Phys.J.

Pion condensation in electrically neutral cold matter with finite baryon density