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Prog. Theor. Phys. Vol. 65 No. 4 (1981) pp. 1333-1349

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Proton 1S0-Dominant Superfluidity with Two-Dimensional Character under Well-Developed π0 Condensation

Tatsuyuki Takatsuka and Ryozo Tamagaki*

College of Humanities and Social Sciences, Iwate University, Morioka 020
*Department of Physics, Kyoto University, Kyoto 606

(Received October 21, 1980)

Abstract:

Proton superfluidity under the well-developed π0 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=(1∼3)ρ0, ρ0 being the nuclear density, the pairing responsible for realization of proton superfluid is due to the 1/S0 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 π0. 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.


URL : http://ptp.ipap.jp/link?PTP/65/1333/
DOI : 10.1143/PTP.65.1333

[ Full Text PDF : FREE ACCESS (714K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1361-1377 :
    Reaction Matrix Calculations in Neutron Matter with Alternating-Layer-Spin Structure under π0 Condensation. II
    Kyuichiro Tamiya and Ryozo Tamagaki
  2. Progress of Theoretical Physics Vol. 72 No. 2 (1984) pp. 252-265 :
    Proton Mixing in π0-Condensed Phase of Neutron Star Matter
    Tatsuyuki Takatsuka
  3. Progress of Theoretical Physics Supplement No.112 (1993) pp. 1-25 :
    Chapter I. Overview
    Ryozo Tamagaki
  4. Progress of Theoretical Physics Supplement No.112 (1993) pp. 107-122 :
    Chapter IV. Nucleon Superfluidity under Pion Condensation in Neutron Star Matter
    Tatsuyuki Takatsuka and Ryozo Tamagaki

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