Possible Charged Pion Condensation in Neutron Matter with Small Proton Admixture

Since Migdal!) and Sawyer-Scalapino ) pointed out the possibility of pion condensation in nuclear matter, it has intensively studied not only on the pionic instability but also on the structure of pion condensed state. ) Possible spin, isospin and space structures of pion condensate were also considered in detail in both pure neutron matter and isosymmetric nuclear matter. 3 ).4) In a realistic neutron star. there exists an admixture of protons, equilibrating with electrons. These protons give rise to the characteristic pion condensate, so-called Jr, +-condensate, above some critical density. Its possibility has originally been suggested by Migdal, Markin and Mishustin in pure neutron matter though much qualitative as follows: even in pure neutron matter (Z = 0) there exists the energy branch of sound (w~+)

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