Proton ^1S_0-Dominant Superfluidity with Two-Dimensional Character under Well-Developed π^0 Condensation

概要

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Proton superfluidity under the well-developed π^0 condensation in neutron star matter is investigated in the [ALS] (Alternating-Layer-Spin) model. Since proton density is very low at the baryon density ρ=(l〜3)ρ_0,ρ_0 being the nuclear density, the pairing responsible for realization of proton superfluid is due to the ^1/S_0 interaction between two protons in the nearest layers with anti-parallel spins, which is operative in the two-dimensional Fermi gas in the space perpendicular to the momentum of condensed π^0. The BCS scheme suitable for describing such pairing correlation is presented by using the Bloch-orbital basis converted from the localized basis. The proton energy gaps and critical temperatures calculated from an approximate version of the realistic local potentials are of the same order of magnitude, compared with those realized from the spherical Fermi gas state. Dependences of the results on effective mass, localization parameters and potentials are discussed.
理論物理学刊行会の論文
1981-04-25