Proton exp 1 S sub 0 -Dominant Superfluidity with Two-Dimensional Character under Well-Developed pi exp 0 Condensation

摘要

Proton superfluidity under the well-developed pi exp 0 condensation in neutron star matter is investigated in the Alternating-Layer-Spin (ALS) model. Since proton density is very low at the baryon density Rho = (1 approx. 3) rho sub 0 , rho sub 0 being the nuclear density, the pairing responsible for realization of proton superfluid is due to the exp 1 S sub 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 pi exp 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. (ERA citation 07:048313)